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Moving average

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are normally distributed, it is susceptible to the impact of rare events such as rapid shocks or anomalies. In contrast, the Moving Median, which is found by sorting the values inside the time window and finding the value in the middle, is more resistant to the impact of such rare events. This is because, for a given variance, the Laplace distribution, which the Moving Median assumes, places higher probability on rare events than the normal distribution that the Moving Average assumes. As a result, the Moving Median provides a more reliable and stable estimate of the underlying trend even when the time series is affected by large deviations from the trend. Additionally, the Moving Median smoothing is identical to the Median Filter, which has various applications in image signal processing.
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data-points. However, in science and engineering, the mean is normally taken from an equal number of data on either side of a central value. This ensures that variations in the mean are aligned with the variations in the data rather than being shifted in time. An example of a simple equally weighted
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Outside the world of finance, weighted running means have many forms and applications. Each weighting function or "kernel" has its own characteristics. In engineering and science the frequency and phase response of the filter is often of primary importance in understanding the desired and undesired
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which has applications in, for example, image signal processing. The Moving Median is a more robust alternative to the Moving Average when it comes to estimating the underlying trend in a time series. While the Moving Average is optimal for recovering the trend if the fluctuations around the trend
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Given a series of numbers and a fixed subset size, the first element of the moving average is obtained by taking the average of the initial fixed subset of the number series. Then the subset is modified by "shifting forward"; that is, excluding the first number of the series and including the next
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to examine gross domestic product, employment or other macroeconomic time series. When used with non-time series data, a moving average filters higher frequency components without any specific connection to time, although typically some kind of ordering is implied. Viewed simplistically it can be
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A mean does not just "smooth" the data. A mean is a form of low-pass filter. The effects of the particular filter used should be understood in order to make an appropriate choice. On this point, the French version of this article discusses the spectral effects of 3 kinds of means (cumulative,
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If the data used are not centered around the mean, a simple moving average lags behind the latest datum by half the sample width. An SMA can also be disproportionately influenced by old data dropping out or new data coming in. One characteristic of the SMA is that if the data has a periodic
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This can lead to unexpected artifacts, such as peaks in the smoothed result appearing where there were troughs in the data. It also leads to the result being less smooth than expected since some of the higher frequencies are not properly removed.
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data to smooth out short-term fluctuations and highlight longer-term trends or cycles. The threshold between short-term and long-term depends on the application, and the parameters of the moving average will be set accordingly. It is also used in
4120:, then the moving median is statistically optimal. For a given variance, the Laplace distribution places higher probability on rare events than does the normal, which explains why the moving median tolerates shocks better than the moving mean. 2350:), then the cumulative average will equal the final average. It is also possible to store a running total of the data as well as the number of points and dividing the total by the number of points to get the CA each time a new datum arrives. 2197:
The brute-force method to calculate this would be to store all of the data and calculate the sum and divide by the number of points every time a new datum arrived. However, it is possible to simply update cumulative average as a new value,
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From a statistical point of view, the moving average, when used to estimate the underlying trend in a time series, is susceptible to rare events such as rapid shocks or other anomalies. A more robust estimate of the trend is the
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The graph at the right shows how the weights decrease, from highest weight for the most recent data, down to zero. It can be compared to the weights in the exponential moving average which follows.
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A weighted average is an average that has multiplying factors to give different weights to data at different positions in the sample window. Mathematically, the weighted moving average is the
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fluctuation, then applying an SMA of that period will eliminate that variation (the average always containing one complete cycle). But a perfectly regular cycle is rarely encountered.
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can be computed, using data equally spaced on either side of the point in the series where the mean is calculated. This requires using an odd number of points in the sample window.
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Those two concepts are often confused due to their name, but while they share many similarities, they represent distinct methods and are used in very different contexts.
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A further weighting, used by actuaries, is Spencer's 15-Point Moving Average (a central moving average). Its symmetric weight coefficients are , which factors as
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Statistically, the moving average is optimal for recovering the underlying trend of the time series when the fluctuations about the trend are
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A major drawback of the SMA is that it lets through a significant amount of the signal shorter than the window length. Worse, it
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is found by, for example, sorting the values inside the brackets and finding the value in the middle. For larger values of
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Continuous moving average sine and polynom - visualization of the smoothing with a larger interval for integration
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For a number of applications, it is advantageous to avoid the shifting induced by using only "past" data. Hence a
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Continuous moving average sine and polynom - visualization of the smoothing with a small interval for integration
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During the initial filling of the FIFO / circular buffer the sampling window is equal to the data-set size thus
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This means that the moving average filter can be computed quite cheaply on real time data with a FIFO /
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Thus the current cumulative average for a new datum is equal to the previous cumulative average, times
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more. The animations below show the moving average as animation in dependency of different values for
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decreases exponentially, never reaching zero. This formulation is according to Hunter (1986).
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G.R. Arce, "Nonlinear Signal Processing: A Statistical Approach", Wiley:New Jersey, US, 2005.
4090:{\displaystyle {\widetilde {p}}_{\text{SM}}={\text{Median}}(p_{M},p_{M-1},\ldots ,p_{M-n+1})} 2201: 641: 7248: 7187: 7174: 7135: 7116: 6829: 6613: 6568: 6332: 6319: 6212: 6187: 6121: 6053: 5931: 5539: 5432: 5365: 5278: 5225: 5044: 4915: 4709: 4508: 4475: 4283: 4169: 4163: 3380:
When calculating the WMA across successive values, the difference between the numerators of
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In the more general case the denominator will always be the sum of the individual weights.
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The derivation and properties of the simple central moving average are given in full at
7427: 7336: 7289: 7211: 7066: 6889: 6859: 6854: 6479: 6474: 4937: 4867: 4513: 2323:{\displaystyle {\textit {CA}}_{n+1}={{x_{n+1}+n\cdot {\textit {CA}}_{n}} \over {n+1}}.} 1907: 1695: 1451: 563: 287: 208: 188: 167: 1525: 7479: 7311: 7094: 6904: 6846: 6636: 6603: 6466: 6427: 6238: 6207: 5671: 5625: 5230: 4932: 4759: 4523: 4518: 4204: 4124: 4789: 4240:(Booth et al., San Francisco Estuary and Watershed Science, Volume 4, Issue 2, 2006) 7372: 7361: 7163: 7040: 6783: 6578: 6511: 6488: 6403: 5733: 5029: 4927: 4862: 4804: 4726: 4681: 4348: 4199: 3063:
In the financial field, and more specifically in the analyses of financial data, a
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When the simple moving median above is central, the smoothing is identical to the
2633:{\displaystyle x_{n+1}=(n+1)\cdot {\textit {CA}}_{n+1}-n\cdot {\textit {CA}}_{n}} 7437: 7404: 7346: 7316: 7193: 6991: 6804: 6621: 6583: 6266: 6167: 6029: 5842: 5809: 5301: 5218: 5213: 4857: 4814: 4794: 4774: 4764: 4533: 3939:
Other weighting systems are used occasionally – for example, in share trading a
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Animation showing the impact of interval width and smoothing by moving average.
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NIST/SEMATECH e-Handbook of Statistical Methods: Single Exponential Smoothing
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The derivation of the cumulative average formula is straightforward. Using
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The continuous moving average is defined with the following integral. The
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of the data with a fixed weighting function. One application is removing
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drops out. This simplifies the calculations by reusing the previous mean
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Smoothing of a noisy sine (blue curve) with a moving average (red curve).
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and leaves samples of any quadratic or cubic polynomial unchanged.
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will weight each time period in proportion to its trading volume.
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of different selections of the full data set. Variations include:
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defines the intensity of smoothing of the graph of the function.
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distortions that a particular filter will apply to the data.
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Its frequency response is a type of low-pass filter called
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Spencer's 15-Point Moving Average — from Wolfram MathWorld
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Hydrologic Variability of the Cosumnes River Floodplain
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filter that applies weighting factors which decrease
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Type of statistical measure over subsets of a dataset
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Autoregressive conditional heteroskedasticity (ARCH)
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Accessed 2024-01-07. 4351:". 2009-11-08. Accessed 2020-08-20. 4220:Zero lag exponential moving average 3071:-day WMA the latest day has weight 2112:{\displaystyle x_{1}.\ldots ,x_{n}} 2004:{\displaystyle 2\cdot \varepsilon } 328:{\displaystyle {\textit {SMA}}_{k}} 6079:Cochran–Mantel–Haenszel statistics 4705:Pearson product-moment correlation 3604:{\displaystyle {\text{Total}}_{M}} 3408:{\displaystyle {\text{WMA}}_{M+1}} 225:entries. Let those data-points be 25: 3370:{\textstyle {\frac {n(n+1)}{2}}.} 2340:+1. When all of the data arrive ( 1943:{\displaystyle \varepsilon >0} 1897:{\displaystyle \varepsilon >0} 205:entries of a data-set containing 6700: 6688: 6676: 6663: 6662: 3913:exponential moving average (EMA) 3437:{\displaystyle {\text{WMA}}_{M}} 3060:from a digital graphical image. 2040: 2028: 2016: 137:regarded as smoothing the data. 7486:Statistical charts and diagrams 7448:Associative (causal) forecasts 6338:Least-squares spectral analysis 4180:Martingale (probability theory) 4144:moving average regression model 4132:Moving average regression model 3927:. The weighting for each older 521:When calculating the next mean 36:Moving average (disambiguation) 7183:Accumulation/distribution line 5319:Mean-unbiased minimum-variance 4084: 4021: 3851: 3839: 3355: 3343: 3278: 3266: 3253: 3244: 3232: 3229: 3216: 3207: 3195: 3192: 3156: 3144: 2882: 2870: 2823: 2805: 2581: 2569: 2531: 2499: 2493: 2455: 1771: 1751: 1656: 1636: 1567: 1529: 116:. It is sometimes followed by 1: 6632:Geographic information system 5848:Simultaneous equations models 1412:and only 3 arithmetic steps. 560:with the same sampling width 7433:Decomposition of time series 7259:CBOE Market Volatility Index 6900:Triple top and triple bottom 6865:Double top and double bottom 5815:Coefficient of determination 5426:Uniformly most powerful test 1515:{\displaystyle \varepsilon } 152:In financial applications a 6384:Proportional hazards models 6328:Spectral density estimation 6310:Vector autoregression (VAR) 5744:Maximum posterior estimator 4976:Randomized controlled trial 638:is considered. A new value 7517: 7414:Historical data forecasts 7067:Know sure thing oscillator 7061:Detrended price oscillator 6144:Multivariate distributions 4564:Average absolute deviation 4135: 3904: 3898: 3895:Exponential moving average 2642:Solving this equation for 29: 18:Exponential moving average 7446: 7412: 7049:Average directional index 6658: 6461: 6448: 6132:Structural equation model 6040: 6015: 5786: 5762: 5494: 5468:Score/Lagrange multiplier 5074: 5061: 4883:Sample size determination 4844: 4831: 4461: 4448: 4430: 3921:infinite impulse response 1498:Continuous Moving Average 1443:cumulative moving average 703:{\displaystyle p_{n-k+1}} 7456:Simple linear regression 6627:Environmental statistics 6149:Elliptical distributions 5942:Generalized linear model 5871:Simple linear regression 5641:Hodges–Lehmann estimator 5098:Probability distribution 5007:Stochastic approximation 4569:Coefficient of variation 4185:Moving average crossover 3970:exponential, Gaussian). 2119:up to the current time: 7142:Relative strength index 7055:Commodity channel index 6287:Cross-correlation (XCF) 5895:Non-standard predictors 5329:Lehmann–ScheffĂ© theorem 5002:Adaptive clinical trial 3524:. If we denote the sum 3065:weighted moving average 3048:Weighted moving average 2224:{\displaystyle x_{n+1}} 664:{\displaystyle p_{n+1}} 106:finite impulse response 6779:Elliott wave principle 6683:Mathematics portal 6504:Engineering statistics 6412:Nelson–Aalen estimator 5989:Analysis of covariance 5876:Ordinary least squares 5800:Pearson product-moment 5204:Statistical functional 5115:Empirical distribution 4948:Controlled experiments 4677:Frequency distribution 4455:Descriptive statistics 4091: 3883: 3605: 3576: 3518: 3438: 3409: 3371: 3323: 3306: 3095: 3039: 2673: 2634: 2538: 2416: 2324: 2225: 2189: 2113: 2005: 1979: 1944: 1918: 1898: 1869: 1706: 1683: 1601: 1574: 1516: 1477:central moving average 1462: 1435: 1402: 1009: 837: 743: 704: 665: 632: 606: 574: 554: 513: 494: 329: 298: 278: 219: 199: 178: 149: 46: 7423:Exponential smoothing 7200:Negative volume index 7148:Stochastic oscillator 7025:Fibonacci retracement 6599:Population statistics 6541:System identification 6275:Autocorrelation (ACF) 6203:Exponential smoothing 6117:Discriminant analysis 6112:Canonical correlation 5976:Partition of variance 5838:Regression validation 5682:(Jonckheere–Terpstra) 5581:Likelihood-ratio test 5270:Frequentist inference 5182:Location–scale family 5103:Sampling distribution 5068:Statistical inference 5035:Cross-sectional study 5022:Observational studies 4981:Randomized experiment 4810:Stem-and-leaf display 4612:Central limit theorem 4360:Aditya Guntuboyina. " 4271:Savitzky–Golay filter 4210:Savitzky–Golay filter 4195:Rising moving average 4159:Exponential smoothing 4092: 3905:Further information: 3901:Exponential smoothing 3884: 3606: 3577: 3519: 3439: 3410: 3372: 3326:The denominator is a 3317: 3307: 3101:, etc., down to one. 3096: 3040: 2674: 2635: 2539: 2417: 2325: 2226: 2190: 2114: 2006: 1980: 1945: 1919: 1899: 1870: 1707: 1684: 1602: 1600:{\displaystyle x_{o}} 1575: 1517: 1463: 1448:The period selected ( 1436: 1403: 971: 799: 744: 705: 666: 633: 607: 605:{\displaystyle n-k+2} 575: 555: 514: 462: 330: 299: 279: 220: 200: 179: 154:simple moving average 148: 141:Simple moving average 124:value in the subset. 44: 7352:Ralph Nelson Elliott 7296:McClellan oscillator 7284:Advance–decline line 6965:Three white soldiers 6522:Probabilistic design 6107:Principal components 5950:Exponential families 5902:Nonlinear regression 5881:General linear model 5843:Mixed effects models 5833:Errors and residuals 5810:Confounding variable 5712:Bayesian probability 5690:Van der Waerden test 5680:Ordered alternative 5445:Multiple comparisons 5324:Rao–Blackwellization 5287:Estimating equations 5243:Statistical distance 4961:Factorial experiment 4494:Arithmetic-Geometric 4250:Statistical Analysis 4190:Moving least squares 4138:Moving-average model 4114:normally distributed 3991: 3981:simple moving median 3617: 3586: 3528: 3448: 3419: 3384: 3334: 3107: 3079: 3075:, the second latest 2683: 2646: 2547: 2433: 2357: 2235: 2202: 2123: 2077: 1989: 1954: 1928: 1908: 1882: 1719: 1696: 1614: 1584: 1526: 1506: 1484:actually inverts it. 1452: 1419: 753: 714: 675: 642: 616: 584: 564: 525: 339: 308: 288: 229: 209: 189: 168: 160:) is the unweighted 108:filter. Because the 32:Moving-average model 30:For other uses, see 7461:Regression analysis 7159:Ultimate oscillator 7153:True strength index 6820:Open-high-low-close 6594:Official statistics 6517:Methods engineering 6198:Seasonal adjustment 5966:Poisson regressions 5886:Bayesian regression 5825:Regression analysis 5805:Partial correlation 5777:Regression analysis 5376:Prediction interval 5371:Likelihood interval 5361:Confidence interval 5353:Interval estimation 5314:Unbiased estimators 5132:Model specification 5012:Up-and-down designs 4700:Partial correlation 4656:Index of dispersion 4574:Interquartile range 4118:Laplace distributed 3919:, is a first-order 3915:, also known as an 3094:{\displaystyle n-1} 2069:of the sequence of 1838: 1434:{\displaystyle k=n} 631:{\displaystyle n+1} 335:and calculated as: 7501:Technical analysis 7265:Standard deviation 7237:Average true range 7218:Volume–price trend 7073:Ichimoku Kinkƍ Hyƍ 6880:Head and shoulders 6750:Technical analysis 6614:Spatial statistics 6494:Medical statistics 6394:First hitting time 6348:Whittle likelihood 5999:Degrees of freedom 5994:Multivariate ANOVA 5927:Heteroscedasticity 5739:Bayesian estimator 5704:Bayesian inference 5553:Kolmogorov–Smirnov 5438:Randomization test 5408:Testing hypotheses 5381:Tolerance interval 5292:Maximum likelihood 5187:Exponential family 5120:Density estimation 5080:Statistical theory 5040:Natural experiment 4986:Scientific control 4903:Survey methodology 4589:Standard deviation 4166:(LOESS and LOWESS) 4107:indexable skiplist 4087: 3879: 3877: 3601: 3572: 3514: 3434: 3405: 3367: 3324: 3302: 3091: 3035: 3033: 2669: 2630: 2534: 2429:, it is seen that 2422:and similarly for 2412: 2320: 2221: 2185: 2109: 2059:cumulative average 2053:Cumulative average 2001: 1975: 1940: 1914: 1894: 1865: 1863: 1860: 1798: 1702: 1679: 1677: 1597: 1570: 1512: 1458: 1431: 1398: 1396: 1235: 1206: 1090: 1080: 1021: 968: 739: 700: 661: 628: 602: 570: 550: 509: 507: 325: 294: 274: 215: 195: 174: 150: 101:it is viewed as a 47: 7473: 7472: 7466:Econometric model 7370: 7369: 7325: 7324: 7206:On-balance volume 7101:Smart money index 7000: 6999: 6973: 6972: 6960:Three black crows 6716: 6715: 6654: 6653: 6650: 6649: 6589:National accounts 6559:Actuarial science 6551:Social statistics 6444: 6443: 6440: 6439: 6436: 6435: 6371:Survival function 6356: 6355: 6218:Granger causality 6059:Contingency table 6034:Survival analysis 6011: 6010: 6007: 6006: 5863:Linear regression 5758: 5757: 5754: 5753: 5729:Credible interval 5698: 5697: 5481: 5480: 5297:Method of moments 5166:Parametric family 5127:Statistical model 5057: 5056: 5053: 5052: 4971:Random assignment 4893:Statistical power 4827: 4826: 4823: 4822: 4672:Contingency table 4642: 4641: 4509:Generalized/power 4019: 4010: 4004: 3873: 3818: 3791: 3775: 3738: 3713: 3653: 3628: 3593: 3426: 3391: 3362: 3300: 3114: 3029: 3008: 2968: 2950: 2929: 2893: 2855: 2834: 2771: 2750: 2695: 2654: 2621: 2592: 2403: 2315: 2294: 2243: 2179: 2131: 1985:is used, because 1973: 1917:{\displaystyle f} 1793: 1705:{\displaystyle f} 1492:sinc-in-frequency 1461:{\displaystyle k} 1337: 1322: 1309: 1292: 1266: 1230: 1217: 1120: 1110: 1108: 1027: 1025: 877: 875: 866: 797: 778: 765: 735: 722: 573:{\displaystyle k} 546: 533: 460: 440: 351: 316: 297:{\displaystyle k} 218:{\displaystyle n} 198:{\displaystyle k} 177:{\displaystyle k} 99:signal processing 16:(Redirected from 7508: 7397: 7390: 7383: 7374: 7249:Donchian channel 7188:Ease of movement 7136:Money flow index 7117:Vortex indicator 7011: 6979:Point and figure 6920: 6870:Flag and pennant 6843: 6825:Point and figure 6743: 6736: 6729: 6720: 6704: 6703: 6692: 6691: 6681: 6680: 6666: 6665: 6569:Crime statistics 6463: 6450: 6367: 6333:Fourier analysis 6320:Frequency domain 6300: 6247: 6213:Structural break 6173: 6122:Cluster analysis 6069:Log-linear model 6042: 6017: 5958: 5932:Homoscedasticity 5788: 5764: 5683: 5675: 5667: 5666:(Kruskal–Wallis) 5651: 5636: 5591:Cross validation 5576: 5558:Anderson–Darling 5505: 5492: 5463:Likelihood-ratio 5455:Parametric tests 5433:Permutation test 5416:1- & 2-tails 5307:Minimum distance 5279:Point estimation 5275: 5226:Optimal decision 5177: 5076: 5063: 5045:Quasi-experiment 4995:Adaptive designs 4846: 4833: 4710:Rank correlation 4472: 4463: 4450: 4417: 4410: 4403: 4394: 4388: 4385: 4379: 4378: 4371: 4365: 4358: 4352: 4347:Rob J Hyndman. " 4345: 4339: 4334: 4328: 4319: 4313: 4312: 4310: 4309: 4300:. Archived from 4294: 4288: 4287: 4280: 4274: 4267: 4261: 4247: 4241: 4235: 4170:Kernel smoothing 4164:Local regression 4096: 4094: 4093: 4088: 4083: 4082: 4052: 4051: 4033: 4032: 4020: 4017: 4012: 4011: 4008: 4006: 4005: 3997: 3961: 3959: 3958: 3955: 3952: 3941:volume weighting 3935:Other weightings 3888: 3886: 3885: 3880: 3878: 3874: 3872: 3831: 3830: 3819: 3816: 3813: 3804: 3803: 3792: 3789: 3782: 3781: 3776: 3773: 3767: 3766: 3745: 3744: 3739: 3736: 3726: 3725: 3714: 3711: 3704: 3703: 3679: 3678: 3660: 3659: 3654: 3651: 3641: 3640: 3629: 3626: 3610: 3608: 3607: 3602: 3600: 3599: 3594: 3591: 3581: 3579: 3578: 3573: 3571: 3570: 3540: 3539: 3523: 3521: 3520: 3515: 3513: 3512: 3482: 3481: 3469: 3468: 3443: 3441: 3440: 3435: 3433: 3432: 3427: 3424: 3414: 3412: 3411: 3406: 3404: 3403: 3392: 3389: 3376: 3374: 3373: 3368: 3363: 3358: 3338: 3311: 3309: 3308: 3303: 3301: 3299: 3258: 3257: 3256: 3220: 3219: 3174: 3173: 3140: 3139: 3126: 3121: 3120: 3115: 3112: 3100: 3098: 3097: 3092: 3044: 3042: 3041: 3036: 3034: 3030: 3028: 3017: 3016: 3015: 3010: 3009: 2999: 2998: 2982: 2977: 2976: 2975: 2970: 2969: 2955: 2951: 2949: 2938: 2937: 2936: 2931: 2930: 2920: 2919: 2901: 2900: 2895: 2894: 2868: 2860: 2856: 2854: 2843: 2842: 2841: 2836: 2835: 2801: 2800: 2784: 2776: 2772: 2770: 2759: 2758: 2757: 2752: 2751: 2735: 2734: 2718: 2709: 2708: 2697: 2696: 2678: 2676: 2675: 2670: 2668: 2667: 2656: 2655: 2639: 2637: 2636: 2631: 2629: 2628: 2623: 2622: 2606: 2605: 2594: 2593: 2565: 2564: 2543: 2541: 2540: 2535: 2530: 2529: 2511: 2510: 2492: 2491: 2467: 2466: 2451: 2450: 2428: 2421: 2419: 2418: 2413: 2411: 2410: 2405: 2404: 2388: 2387: 2369: 2368: 2349: 2329: 2327: 2326: 2321: 2316: 2314: 2303: 2302: 2301: 2296: 2295: 2279: 2278: 2262: 2257: 2256: 2245: 2244: 2230: 2228: 2227: 2222: 2220: 2219: 2194: 2192: 2191: 2186: 2180: 2175: 2174: 2173: 2155: 2154: 2144: 2139: 2138: 2133: 2132: 2118: 2116: 2115: 2110: 2108: 2107: 2089: 2088: 2044: 2032: 2020: 2010: 2008: 2007: 2002: 1984: 1982: 1981: 1976: 1974: 1972: 1958: 1949: 1947: 1946: 1941: 1923: 1921: 1920: 1915: 1903: 1901: 1900: 1895: 1874: 1872: 1871: 1866: 1864: 1852: 1837: 1830: 1829: 1819: 1812: 1811: 1794: 1792: 1778: 1764: 1760: 1748: 1738: 1737: 1711: 1709: 1708: 1703: 1688: 1686: 1685: 1680: 1678: 1674: 1649: 1645: 1633: 1606: 1604: 1603: 1598: 1596: 1595: 1579: 1577: 1576: 1573:{\displaystyle } 1571: 1560: 1559: 1541: 1540: 1521: 1519: 1518: 1513: 1467: 1465: 1464: 1459: 1440: 1438: 1437: 1432: 1407: 1405: 1404: 1399: 1397: 1393: 1392: 1386: 1385: 1361: 1360: 1345: 1344: 1338: 1330: 1325: 1324: 1323: 1320: 1311: 1310: 1297: 1293: 1288: 1287: 1272: 1267: 1262: 1261: 1240: 1234: 1233: 1232: 1231: 1228: 1219: 1218: 1207: 1202: 1201: 1200: 1194: 1193: 1175: 1174: 1150: 1149: 1128: 1127: 1121: 1113: 1101: 1097: 1096: 1089: 1081: 1076: 1075: 1074: 1050: 1049: 1020: 1019: 1018: 1008: 997: 969: 964: 963: 962: 944: 943: 925: 924: 900: 899: 874: 873: 867: 859: 851: 847: 846: 836: 825: 798: 790: 781: 780: 779: 776: 767: 766: 748: 746: 745: 740: 738: 737: 736: 733: 724: 723: 709: 707: 706: 701: 699: 698: 670: 668: 667: 662: 660: 659: 637: 635: 634: 629: 611: 609: 608: 603: 579: 577: 576: 571: 559: 557: 556: 551: 549: 548: 547: 544: 535: 534: 518: 516: 515: 510: 508: 504: 503: 493: 488: 461: 453: 445: 441: 436: 435: 434: 416: 415: 391: 390: 368: 359: 358: 353: 352: 334: 332: 331: 326: 324: 323: 318: 317: 303: 301: 300: 295: 283: 281: 280: 275: 273: 272: 254: 253: 241: 240: 224: 222: 221: 216: 204: 202: 201: 196: 183: 181: 180: 175: 164:of the previous 21: 7516: 7515: 7511: 7510: 7509: 7507: 7506: 7505: 7476: 7475: 7474: 7469: 7442: 7408: 7401: 7371: 7366: 7321: 7300: 7270: 7254:Keltner channel 7243:Bollinger Bands 7223: 7169: 7122: 7035: 7016: 6996: 6969: 6950:Hikkake pattern 6936: 6909: 6885:Island reversal 6834: 6788: 6769:Dead cat bounce 6752: 6747: 6717: 6712: 6675: 6646: 6608: 6545: 6531:quality control 6498: 6480:Clinical trials 6457: 6432: 6416: 6404:Hazard function 6398: 6352: 6314: 6298: 6261: 6257:Breusch–Godfrey 6245: 6222: 6162: 6137:Factor analysis 6083: 6064:Graphical model 6036: 6003: 5970: 5956: 5936: 5890: 5857: 5819: 5782: 5781: 5750: 5694: 5681: 5673: 5665: 5649: 5634: 5613:Rank statistics 5607: 5586:Model selection 5574: 5532:Goodness of fit 5526: 5503: 5477: 5449: 5402: 5347: 5336:Median unbiased 5264: 5175: 5108:Order statistic 5070: 5049: 5016: 4990: 4942: 4897: 4840: 4838:Data collection 4819: 4731: 4686: 4660: 4638: 4598: 4550: 4467:Continuous data 4457: 4444: 4426: 4421: 4391: 4386: 4382: 4373: 4372: 4368: 4359: 4355: 4349:Moving averages 4346: 4342: 4335: 4331: 4320: 4316: 4307: 4305: 4296: 4295: 4291: 4286:. Investopedia. 4282: 4281: 4277: 4268: 4264: 4260:, section 17.9. 4248: 4244: 4236: 4232: 4228: 4215:Window function 4155: 4140: 4134: 4062: 4037: 4024: 3994: 3989: 3988: 3976: 3956: 3953: 3950: 3949: 3947: 3937: 3909: 3903: 3897: 3876: 3875: 3832: 3814: 3805: 3787: 3784: 3783: 3771: 3752: 3734: 3727: 3709: 3706: 3705: 3683: 3664: 3649: 3642: 3624: 3615: 3614: 3589: 3584: 3583: 3550: 3531: 3526: 3525: 3492: 3473: 3454: 3446: 3445: 3422: 3417: 3416: 3387: 3382: 3381: 3339: 3332: 3331: 3328:triangle number 3259: 3224: 3187: 3159: 3131: 3127: 3110: 3105: 3104: 3077: 3076: 3050: 3032: 3031: 3003: 2984: 2963: 2953: 2952: 2924: 2905: 2888: 2869: 2858: 2857: 2829: 2786: 2785: 2774: 2773: 2745: 2720: 2719: 2710: 2690: 2681: 2680: 2649: 2644: 2643: 2616: 2587: 2550: 2545: 2544: 2521: 2502: 2477: 2458: 2436: 2431: 2430: 2423: 2398: 2379: 2360: 2355: 2354: 2341: 2289: 2264: 2238: 2233: 2232: 2205: 2200: 2199: 2165: 2146: 2126: 2121: 2120: 2099: 2080: 2075: 2074: 2055: 2048: 2045: 2036: 2033: 2024: 2021: 1987: 1986: 1962: 1952: 1951: 1950:. The fraction 1926: 1925: 1906: 1905: 1880: 1879: 1862: 1861: 1842: 1821: 1803: 1782: 1774: 1769: 1762: 1761: 1754: 1749: 1742: 1729: 1717: 1716: 1712:is defined as: 1694: 1693: 1676: 1675: 1664: 1659: 1654: 1647: 1646: 1639: 1634: 1627: 1612: 1611: 1587: 1582: 1581: 1551: 1532: 1524: 1523: 1504: 1503: 1500: 1450: 1449: 1417: 1416: 1410:circular buffer 1395: 1394: 1365: 1346: 1304: 1295: 1294: 1273: 1241: 1212: 1185: 1154: 1129: 1111: 1099: 1098: 1054: 1029: 1028: 1010: 948: 935: 904: 879: 878: 849: 848: 838: 782: 760: 751: 750: 717: 712: 711: 678: 673: 672: 645: 640: 639: 614: 613: 582: 581: 580:the range from 562: 561: 528: 523: 522: 506: 505: 495: 443: 442: 426: 395: 370: 369: 360: 346: 337: 336: 311: 306: 305: 286: 285: 264: 245: 232: 227: 226: 207: 206: 187: 186: 166: 165: 143: 110:boxcar function 64:running average 60:rolling average 49: 39: 28: 23: 22: 15: 12: 11: 5: 7514: 7512: 7504: 7503: 7498: 7496:Chart overlays 7493: 7488: 7478: 7477: 7471: 7470: 7468: 7463: 7458: 7453: 7451:Moving average 7447: 7444: 7443: 7441: 7440: 7438:NaĂŻve approach 7435: 7430: 7428:Trend analysis 7425: 7420: 7418:Moving average 7413: 7410: 7409: 7402: 7400: 7399: 7392: 7385: 7377: 7368: 7367: 7365: 7364: 7359: 7354: 7349: 7344: 7339: 7337:John Bollinger 7333: 7331: 7327: 7326: 7323: 7322: 7320: 7319: 7314: 7308: 7306: 7302: 7301: 7299: 7298: 7293: 7287: 7280: 7278: 7272: 7271: 7269: 7268: 7262: 7256: 7251: 7246: 7240: 7233: 7231: 7225: 7224: 7222: 7221: 7215: 7212:Put/call ratio 7209: 7203: 7197: 7191: 7185: 7179: 7177: 7171: 7170: 7168: 7167: 7161: 7156: 7150: 7145: 7139: 7132: 7130: 7124: 7123: 7121: 7120: 7114: 7109: 7104: 7098: 7092: 7089:Moving average 7086: 7081: 7075: 7070: 7064: 7058: 7052: 7045: 7043: 7037: 7036: 7034: 7033: 7027: 7021: 7019: 7008: 7002: 7001: 6998: 6997: 6995: 6994: 6989: 6983: 6981: 6975: 6974: 6971: 6970: 6968: 6967: 6962: 6957: 6952: 6946: 6944: 6938: 6937: 6935: 6934: 6928: 6926: 6917: 6911: 6910: 6908: 6907: 6902: 6897: 6892: 6890:Price channels 6887: 6882: 6877: 6872: 6867: 6862: 6860:Cup and handle 6857: 6855:Broadening top 6851: 6849: 6840: 6836: 6835: 6833: 6832: 6827: 6822: 6817: 6812: 6807: 6802: 6796: 6794: 6790: 6789: 6787: 6786: 6781: 6776: 6771: 6766: 6760: 6758: 6754: 6753: 6748: 6746: 6745: 6738: 6731: 6723: 6714: 6713: 6711: 6710: 6698: 6686: 6672: 6659: 6656: 6655: 6652: 6651: 6648: 6647: 6645: 6644: 6639: 6634: 6629: 6624: 6618: 6616: 6610: 6609: 6607: 6606: 6601: 6596: 6591: 6586: 6581: 6576: 6571: 6566: 6561: 6555: 6553: 6547: 6546: 6544: 6543: 6538: 6533: 6524: 6519: 6514: 6508: 6506: 6500: 6499: 6497: 6496: 6491: 6486: 6477: 6475:Bioinformatics 6471: 6469: 6459: 6458: 6453: 6446: 6445: 6442: 6441: 6438: 6437: 6434: 6433: 6431: 6430: 6424: 6422: 6418: 6417: 6415: 6414: 6408: 6406: 6400: 6399: 6397: 6396: 6391: 6386: 6381: 6375: 6373: 6364: 6358: 6357: 6354: 6353: 6351: 6350: 6345: 6340: 6335: 6330: 6324: 6322: 6316: 6315: 6313: 6312: 6307: 6302: 6294: 6289: 6284: 6283: 6282: 6280:partial (PACF) 6271: 6269: 6263: 6262: 6260: 6259: 6254: 6249: 6241: 6236: 6230: 6228: 6227:Specific tests 6224: 6223: 6221: 6220: 6215: 6210: 6205: 6200: 6195: 6190: 6185: 6179: 6177: 6170: 6164: 6163: 6161: 6160: 6159: 6158: 6157: 6156: 6141: 6140: 6139: 6129: 6127:Classification 6124: 6119: 6114: 6109: 6104: 6099: 6093: 6091: 6085: 6084: 6082: 6081: 6076: 6074:McNemar's test 6071: 6066: 6061: 6056: 6050: 6048: 6038: 6037: 6020: 6013: 6012: 6009: 6008: 6005: 6004: 6002: 6001: 5996: 5991: 5986: 5980: 5978: 5972: 5971: 5969: 5968: 5952: 5946: 5944: 5938: 5937: 5935: 5934: 5929: 5924: 5919: 5914: 5912:Semiparametric 5909: 5904: 5898: 5896: 5892: 5891: 5889: 5888: 5883: 5878: 5873: 5867: 5865: 5859: 5858: 5856: 5855: 5850: 5845: 5840: 5835: 5829: 5827: 5821: 5820: 5818: 5817: 5812: 5807: 5802: 5796: 5794: 5784: 5783: 5780: 5779: 5774: 5768: 5767: 5760: 5759: 5756: 5755: 5752: 5751: 5749: 5748: 5747: 5746: 5736: 5731: 5726: 5725: 5724: 5719: 5708: 5706: 5700: 5699: 5696: 5695: 5693: 5692: 5687: 5686: 5685: 5677: 5669: 5653: 5650:(Mann–Whitney) 5645: 5644: 5643: 5630: 5629: 5628: 5617: 5615: 5609: 5608: 5606: 5605: 5604: 5603: 5598: 5593: 5583: 5578: 5575:(Shapiro–Wilk) 5570: 5565: 5560: 5555: 5550: 5542: 5536: 5534: 5528: 5527: 5525: 5524: 5516: 5507: 5495: 5489: 5487:Specific tests 5483: 5482: 5479: 5478: 5476: 5475: 5470: 5465: 5459: 5457: 5451: 5450: 5448: 5447: 5442: 5441: 5440: 5430: 5429: 5428: 5418: 5412: 5410: 5404: 5403: 5401: 5400: 5399: 5398: 5393: 5383: 5378: 5373: 5368: 5363: 5357: 5355: 5349: 5348: 5346: 5345: 5340: 5339: 5338: 5333: 5332: 5331: 5326: 5311: 5310: 5309: 5304: 5299: 5294: 5283: 5281: 5272: 5266: 5265: 5263: 5262: 5257: 5252: 5251: 5250: 5240: 5235: 5234: 5233: 5223: 5222: 5221: 5216: 5211: 5201: 5196: 5191: 5190: 5189: 5184: 5179: 5163: 5162: 5161: 5156: 5151: 5141: 5140: 5139: 5134: 5124: 5123: 5122: 5112: 5111: 5110: 5100: 5095: 5090: 5084: 5082: 5072: 5071: 5066: 5059: 5058: 5055: 5054: 5051: 5050: 5048: 5047: 5042: 5037: 5032: 5026: 5024: 5018: 5017: 5015: 5014: 5009: 5004: 4998: 4996: 4992: 4991: 4989: 4988: 4983: 4978: 4973: 4968: 4963: 4958: 4952: 4950: 4944: 4943: 4941: 4940: 4938:Standard error 4935: 4930: 4925: 4924: 4923: 4918: 4907: 4905: 4899: 4898: 4896: 4895: 4890: 4885: 4880: 4875: 4870: 4868:Optimal design 4865: 4860: 4854: 4852: 4842: 4841: 4836: 4829: 4828: 4825: 4824: 4821: 4820: 4818: 4817: 4812: 4807: 4802: 4797: 4792: 4787: 4782: 4777: 4772: 4767: 4762: 4757: 4752: 4747: 4741: 4739: 4733: 4732: 4730: 4729: 4724: 4723: 4722: 4717: 4707: 4702: 4696: 4694: 4688: 4687: 4685: 4684: 4679: 4674: 4668: 4666: 4665:Summary tables 4662: 4661: 4659: 4658: 4652: 4650: 4644: 4643: 4640: 4639: 4637: 4636: 4635: 4634: 4629: 4624: 4614: 4608: 4606: 4600: 4599: 4597: 4596: 4591: 4586: 4581: 4576: 4571: 4566: 4560: 4558: 4552: 4551: 4549: 4548: 4543: 4538: 4537: 4536: 4531: 4526: 4521: 4516: 4511: 4506: 4501: 4499:Contraharmonic 4496: 4491: 4480: 4478: 4469: 4459: 4458: 4453: 4446: 4445: 4443: 4442: 4437: 4431: 4428: 4427: 4422: 4420: 4419: 4412: 4405: 4397: 4390: 4389: 4380: 4366: 4353: 4340: 4329: 4314: 4289: 4275: 4262: 4242: 4229: 4227: 4224: 4223: 4222: 4217: 4212: 4207: 4202: 4197: 4192: 4187: 4182: 4177: 4172: 4167: 4161: 4154: 4151: 4136:Main article: 4133: 4130: 4086: 4081: 4078: 4075: 4072: 4069: 4065: 4061: 4058: 4055: 4050: 4047: 4044: 4040: 4036: 4031: 4027: 4023: 4015: 4003: 4000: 3975: 3972: 3936: 3933: 3899:Main article: 3896: 3893: 3871: 3868: 3865: 3862: 3859: 3856: 3853: 3850: 3847: 3844: 3841: 3838: 3835: 3829: 3826: 3823: 3811: 3808: 3806: 3802: 3799: 3796: 3786: 3785: 3780: 3770: 3765: 3762: 3759: 3755: 3751: 3748: 3743: 3733: 3730: 3728: 3724: 3721: 3718: 3708: 3707: 3702: 3699: 3696: 3693: 3690: 3686: 3682: 3677: 3674: 3671: 3667: 3663: 3658: 3648: 3645: 3643: 3639: 3636: 3633: 3623: 3622: 3598: 3569: 3566: 3563: 3560: 3557: 3553: 3549: 3546: 3543: 3538: 3534: 3511: 3508: 3505: 3502: 3499: 3495: 3491: 3488: 3485: 3480: 3476: 3472: 3467: 3464: 3461: 3457: 3453: 3431: 3402: 3399: 3396: 3366: 3361: 3357: 3354: 3351: 3348: 3345: 3342: 3298: 3295: 3292: 3289: 3286: 3283: 3280: 3277: 3274: 3271: 3268: 3265: 3262: 3255: 3252: 3249: 3246: 3243: 3240: 3237: 3234: 3231: 3227: 3223: 3218: 3215: 3212: 3209: 3206: 3203: 3200: 3197: 3194: 3190: 3186: 3183: 3180: 3177: 3172: 3169: 3166: 3162: 3158: 3155: 3152: 3149: 3146: 3143: 3138: 3134: 3130: 3124: 3119: 3090: 3087: 3084: 3049: 3046: 3027: 3024: 3021: 3014: 3002: 2997: 2994: 2991: 2987: 2980: 2974: 2961: 2958: 2956: 2954: 2948: 2945: 2942: 2935: 2923: 2918: 2915: 2912: 2908: 2904: 2899: 2887: 2884: 2881: 2878: 2875: 2872: 2866: 2863: 2861: 2859: 2853: 2850: 2847: 2840: 2828: 2825: 2822: 2819: 2816: 2813: 2810: 2807: 2804: 2799: 2796: 2793: 2789: 2782: 2779: 2777: 2775: 2769: 2766: 2763: 2756: 2744: 2741: 2738: 2733: 2730: 2727: 2723: 2716: 2713: 2711: 2707: 2704: 2701: 2689: 2688: 2666: 2663: 2660: 2627: 2615: 2612: 2609: 2604: 2601: 2598: 2586: 2583: 2580: 2577: 2574: 2571: 2568: 2563: 2560: 2557: 2553: 2533: 2528: 2524: 2520: 2517: 2514: 2509: 2505: 2501: 2498: 2495: 2490: 2487: 2484: 2480: 2476: 2473: 2470: 2465: 2461: 2457: 2454: 2449: 2446: 2443: 2439: 2409: 2397: 2394: 2391: 2386: 2382: 2378: 2375: 2372: 2367: 2363: 2319: 2313: 2310: 2307: 2300: 2288: 2285: 2282: 2277: 2274: 2271: 2267: 2260: 2255: 2252: 2249: 2218: 2215: 2212: 2208: 2184: 2178: 2172: 2168: 2164: 2161: 2158: 2153: 2149: 2142: 2137: 2106: 2102: 2098: 2095: 2092: 2087: 2083: 2054: 2051: 2050: 2049: 2046: 2039: 2037: 2034: 2027: 2025: 2022: 2015: 2000: 1997: 1994: 1971: 1968: 1965: 1961: 1939: 1936: 1933: 1913: 1893: 1890: 1887: 1876: 1875: 1859: 1856: 1851: 1848: 1845: 1841: 1836: 1833: 1828: 1824: 1818: 1815: 1810: 1806: 1801: 1797: 1791: 1788: 1785: 1781: 1775: 1773: 1770: 1768: 1765: 1763: 1759: 1755: 1753: 1750: 1747: 1743: 1741: 1736: 1732: 1728: 1725: 1724: 1701: 1690: 1689: 1673: 1670: 1667: 1663: 1660: 1658: 1655: 1653: 1650: 1648: 1644: 1640: 1638: 1635: 1632: 1628: 1626: 1623: 1620: 1619: 1594: 1590: 1569: 1566: 1563: 1558: 1554: 1550: 1547: 1544: 1539: 1535: 1531: 1511: 1499: 1496: 1457: 1430: 1427: 1424: 1391: 1384: 1381: 1378: 1375: 1372: 1368: 1364: 1359: 1356: 1353: 1349: 1343: 1336: 1333: 1328: 1318: 1315: 1303: 1300: 1298: 1296: 1291: 1286: 1283: 1280: 1276: 1270: 1265: 1260: 1257: 1254: 1251: 1248: 1244: 1238: 1226: 1223: 1211: 1205: 1199: 1192: 1188: 1184: 1181: 1178: 1173: 1170: 1167: 1164: 1161: 1157: 1153: 1148: 1145: 1142: 1139: 1136: 1132: 1126: 1119: 1116: 1107: 1104: 1102: 1100: 1095: 1088: 1085: 1079: 1073: 1070: 1067: 1064: 1061: 1057: 1053: 1048: 1045: 1042: 1039: 1036: 1032: 1024: 1017: 1013: 1007: 1004: 1001: 996: 993: 990: 987: 984: 981: 978: 974: 967: 961: 958: 955: 951: 947: 942: 938: 934: 931: 928: 923: 920: 917: 914: 911: 907: 903: 898: 895: 892: 889: 886: 882: 872: 865: 862: 857: 854: 852: 850: 845: 841: 835: 832: 829: 824: 821: 818: 815: 812: 809: 806: 802: 796: 793: 788: 785: 783: 774: 771: 759: 758: 731: 728: 697: 694: 691: 688: 685: 681: 658: 655: 652: 648: 627: 624: 621: 601: 598: 595: 592: 589: 569: 542: 539: 502: 498: 492: 487: 484: 481: 478: 475: 472: 469: 465: 459: 456: 451: 448: 446: 444: 439: 433: 429: 425: 422: 419: 414: 411: 408: 405: 402: 398: 394: 389: 386: 383: 380: 377: 373: 366: 363: 361: 357: 345: 344: 322: 293: 271: 267: 263: 260: 257: 252: 248: 244: 239: 235: 214: 194: 173: 142: 139: 56:moving average 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 7513: 7502: 7499: 7497: 7494: 7492: 7489: 7487: 7484: 7483: 7481: 7467: 7464: 7462: 7459: 7457: 7454: 7452: 7449: 7445: 7439: 7436: 7434: 7431: 7429: 7426: 7424: 7421: 7419: 7416: 7415: 7411: 7406: 7403:Quantitative 7398: 7393: 7391: 7386: 7384: 7379: 7378: 7375: 7363: 7360: 7358: 7355: 7353: 7350: 7348: 7345: 7343: 7340: 7338: 7335: 7334: 7332: 7328: 7318: 7315: 7313: 7312:Coppock curve 7310: 7309: 7307: 7303: 7297: 7294: 7291: 7288: 7285: 7282: 7281: 7279: 7277: 7273: 7266: 7263: 7260: 7257: 7255: 7252: 7250: 7247: 7244: 7241: 7238: 7235: 7234: 7232: 7230: 7226: 7219: 7216: 7213: 7210: 7207: 7204: 7201: 7198: 7195: 7192: 7189: 7186: 7184: 7181: 7180: 7178: 7176: 7172: 7165: 7162: 7160: 7157: 7154: 7151: 7149: 7146: 7143: 7140: 7137: 7134: 7133: 7131: 7129: 7125: 7118: 7115: 7113: 7110: 7108: 7105: 7102: 7099: 7096: 7095:Parabolic SAR 7093: 7090: 7087: 7085: 7082: 7079: 7076: 7074: 7071: 7068: 7065: 7062: 7059: 7056: 7053: 7050: 7047: 7046: 7044: 7042: 7038: 7031: 7028: 7026: 7023: 7022: 7020: 7018: 7015:Support & 7012: 7009: 7007: 7003: 6993: 6990: 6988: 6985: 6984: 6982: 6980: 6976: 6966: 6963: 6961: 6958: 6956: 6953: 6951: 6948: 6947: 6945: 6943: 6939: 6933: 6930: 6929: 6927: 6925: 6921: 6918: 6916: 6912: 6906: 6905:Wedge pattern 6903: 6901: 6898: 6896: 6893: 6891: 6888: 6886: 6883: 6881: 6878: 6876: 6873: 6871: 6868: 6866: 6863: 6861: 6858: 6856: 6853: 6852: 6850: 6848: 6844: 6841: 6837: 6831: 6828: 6826: 6823: 6821: 6818: 6816: 6813: 6811: 6808: 6806: 6803: 6801: 6798: 6797: 6795: 6791: 6785: 6782: 6780: 6777: 6775: 6772: 6770: 6767: 6765: 6762: 6761: 6759: 6755: 6751: 6744: 6739: 6737: 6732: 6730: 6725: 6724: 6721: 6709: 6708: 6699: 6697: 6696: 6687: 6685: 6684: 6679: 6673: 6671: 6670: 6661: 6660: 6657: 6643: 6640: 6638: 6637:Geostatistics 6635: 6633: 6630: 6628: 6625: 6623: 6620: 6619: 6617: 6615: 6611: 6605: 6604:Psychometrics 6602: 6600: 6597: 6595: 6592: 6590: 6587: 6585: 6582: 6580: 6577: 6575: 6572: 6570: 6567: 6565: 6562: 6560: 6557: 6556: 6554: 6552: 6548: 6542: 6539: 6537: 6534: 6532: 6528: 6525: 6523: 6520: 6518: 6515: 6513: 6510: 6509: 6507: 6505: 6501: 6495: 6492: 6490: 6487: 6485: 6481: 6478: 6476: 6473: 6472: 6470: 6468: 6467:Biostatistics 6464: 6460: 6456: 6451: 6447: 6429: 6428:Log-rank test 6426: 6425: 6423: 6419: 6413: 6410: 6409: 6407: 6405: 6401: 6395: 6392: 6390: 6387: 6385: 6382: 6380: 6377: 6376: 6374: 6372: 6368: 6365: 6363: 6359: 6349: 6346: 6344: 6341: 6339: 6336: 6334: 6331: 6329: 6326: 6325: 6323: 6321: 6317: 6311: 6308: 6306: 6303: 6301: 6299:(Box–Jenkins) 6295: 6293: 6290: 6288: 6285: 6281: 6278: 6277: 6276: 6273: 6272: 6270: 6268: 6264: 6258: 6255: 6253: 6252:Durbin–Watson 6250: 6248: 6242: 6240: 6237: 6235: 6234:Dickey–Fuller 6232: 6231: 6229: 6225: 6219: 6216: 6214: 6211: 6209: 6208:Cointegration 6206: 6204: 6201: 6199: 6196: 6194: 6191: 6189: 6186: 6184: 6183:Decomposition 6181: 6180: 6178: 6174: 6171: 6169: 6165: 6155: 6152: 6151: 6150: 6147: 6146: 6145: 6142: 6138: 6135: 6134: 6133: 6130: 6128: 6125: 6123: 6120: 6118: 6115: 6113: 6110: 6108: 6105: 6103: 6100: 6098: 6095: 6094: 6092: 6090: 6086: 6080: 6077: 6075: 6072: 6070: 6067: 6065: 6062: 6060: 6057: 6055: 6054:Cohen's kappa 6052: 6051: 6049: 6047: 6043: 6039: 6035: 6031: 6027: 6023: 6018: 6014: 6000: 5997: 5995: 5992: 5990: 5987: 5985: 5982: 5981: 5979: 5977: 5973: 5967: 5963: 5959: 5953: 5951: 5948: 5947: 5945: 5943: 5939: 5933: 5930: 5928: 5925: 5923: 5920: 5918: 5915: 5913: 5910: 5908: 5907:Nonparametric 5905: 5903: 5900: 5899: 5897: 5893: 5887: 5884: 5882: 5879: 5877: 5874: 5872: 5869: 5868: 5866: 5864: 5860: 5854: 5851: 5849: 5846: 5844: 5841: 5839: 5836: 5834: 5831: 5830: 5828: 5826: 5822: 5816: 5813: 5811: 5808: 5806: 5803: 5801: 5798: 5797: 5795: 5793: 5789: 5785: 5778: 5775: 5773: 5770: 5769: 5765: 5761: 5745: 5742: 5741: 5740: 5737: 5735: 5732: 5730: 5727: 5723: 5720: 5718: 5715: 5714: 5713: 5710: 5709: 5707: 5705: 5701: 5691: 5688: 5684: 5678: 5676: 5670: 5668: 5662: 5661: 5660: 5657: 5656:Nonparametric 5654: 5652: 5646: 5642: 5639: 5638: 5637: 5631: 5627: 5626:Sample median 5624: 5623: 5622: 5619: 5618: 5616: 5614: 5610: 5602: 5599: 5597: 5594: 5592: 5589: 5588: 5587: 5584: 5582: 5579: 5577: 5571: 5569: 5566: 5564: 5561: 5559: 5556: 5554: 5551: 5549: 5547: 5543: 5541: 5538: 5537: 5535: 5533: 5529: 5523: 5521: 5517: 5515: 5513: 5508: 5506: 5501: 5497: 5496: 5493: 5490: 5488: 5484: 5474: 5471: 5469: 5466: 5464: 5461: 5460: 5458: 5456: 5452: 5446: 5443: 5439: 5436: 5435: 5434: 5431: 5427: 5424: 5423: 5422: 5419: 5417: 5414: 5413: 5411: 5409: 5405: 5397: 5394: 5392: 5389: 5388: 5387: 5384: 5382: 5379: 5377: 5374: 5372: 5369: 5367: 5364: 5362: 5359: 5358: 5356: 5354: 5350: 5344: 5341: 5337: 5334: 5330: 5327: 5325: 5322: 5321: 5320: 5317: 5316: 5315: 5312: 5308: 5305: 5303: 5300: 5298: 5295: 5293: 5290: 5289: 5288: 5285: 5284: 5282: 5280: 5276: 5273: 5271: 5267: 5261: 5258: 5256: 5253: 5249: 5246: 5245: 5244: 5241: 5239: 5236: 5232: 5231:loss function 5229: 5228: 5227: 5224: 5220: 5217: 5215: 5212: 5210: 5207: 5206: 5205: 5202: 5200: 5197: 5195: 5192: 5188: 5185: 5183: 5180: 5178: 5172: 5169: 5168: 5167: 5164: 5160: 5157: 5155: 5152: 5150: 5147: 5146: 5145: 5142: 5138: 5135: 5133: 5130: 5129: 5128: 5125: 5121: 5118: 5117: 5116: 5113: 5109: 5106: 5105: 5104: 5101: 5099: 5096: 5094: 5091: 5089: 5086: 5085: 5083: 5081: 5077: 5073: 5069: 5064: 5060: 5046: 5043: 5041: 5038: 5036: 5033: 5031: 5028: 5027: 5025: 5023: 5019: 5013: 5010: 5008: 5005: 5003: 5000: 4999: 4997: 4993: 4987: 4984: 4982: 4979: 4977: 4974: 4972: 4969: 4967: 4964: 4962: 4959: 4957: 4954: 4953: 4951: 4949: 4945: 4939: 4936: 4934: 4933:Questionnaire 4931: 4929: 4926: 4922: 4919: 4917: 4914: 4913: 4912: 4909: 4908: 4906: 4904: 4900: 4894: 4891: 4889: 4886: 4884: 4881: 4879: 4876: 4874: 4871: 4869: 4866: 4864: 4861: 4859: 4856: 4855: 4853: 4851: 4847: 4843: 4839: 4834: 4830: 4816: 4813: 4811: 4808: 4806: 4803: 4801: 4798: 4796: 4793: 4791: 4788: 4786: 4783: 4781: 4778: 4776: 4773: 4771: 4768: 4766: 4763: 4761: 4760:Control chart 4758: 4756: 4753: 4751: 4748: 4746: 4743: 4742: 4740: 4738: 4734: 4728: 4725: 4721: 4718: 4716: 4713: 4712: 4711: 4708: 4706: 4703: 4701: 4698: 4697: 4695: 4693: 4689: 4683: 4680: 4678: 4675: 4673: 4670: 4669: 4667: 4663: 4657: 4654: 4653: 4651: 4649: 4645: 4633: 4630: 4628: 4625: 4623: 4620: 4619: 4618: 4615: 4613: 4610: 4609: 4607: 4605: 4601: 4595: 4592: 4590: 4587: 4585: 4582: 4580: 4577: 4575: 4572: 4570: 4567: 4565: 4562: 4561: 4559: 4557: 4553: 4547: 4544: 4542: 4539: 4535: 4532: 4530: 4527: 4525: 4522: 4520: 4517: 4515: 4512: 4510: 4507: 4505: 4502: 4500: 4497: 4495: 4492: 4490: 4487: 4486: 4485: 4482: 4481: 4479: 4477: 4473: 4470: 4468: 4464: 4460: 4456: 4451: 4447: 4441: 4438: 4436: 4433: 4432: 4429: 4425: 4418: 4413: 4411: 4406: 4404: 4399: 4398: 4395: 4384: 4381: 4376: 4370: 4367: 4363: 4357: 4354: 4350: 4344: 4341: 4338: 4333: 4330: 4327: 4323: 4318: 4315: 4304:on 2010-03-29 4303: 4299: 4293: 4290: 4285: 4279: 4276: 4272: 4266: 4263: 4259: 4258:0-03-089422-0 4255: 4251: 4246: 4243: 4239: 4234: 4231: 4225: 4221: 4218: 4216: 4213: 4211: 4208: 4206: 4205:Running total 4203: 4201: 4198: 4196: 4193: 4191: 4188: 4186: 4183: 4181: 4178: 4176: 4173: 4171: 4168: 4165: 4162: 4160: 4157: 4156: 4152: 4150: 4147: 4145: 4139: 4131: 4129: 4126: 4125:median filter 4121: 4119: 4115: 4110: 4108: 4104: 4100: 4079: 4076: 4073: 4070: 4067: 4063: 4059: 4056: 4053: 4048: 4045: 4042: 4038: 4034: 4029: 4025: 4013: 4001: 3998: 3987:time points: 3986: 3982: 3974:Moving median 3973: 3971: 3967: 3963: 3944: 3942: 3934: 3932: 3930: 3926: 3925:exponentially 3922: 3918: 3914: 3908: 3902: 3894: 3892: 3889: 3869: 3866: 3863: 3860: 3857: 3854: 3848: 3845: 3842: 3836: 3833: 3827: 3824: 3821: 3809: 3807: 3800: 3797: 3794: 3778: 3768: 3763: 3760: 3757: 3753: 3749: 3746: 3741: 3731: 3729: 3722: 3719: 3716: 3700: 3697: 3694: 3691: 3688: 3684: 3680: 3675: 3672: 3669: 3665: 3661: 3656: 3646: 3644: 3637: 3634: 3631: 3612: 3596: 3567: 3564: 3561: 3558: 3555: 3551: 3547: 3544: 3541: 3536: 3532: 3509: 3506: 3503: 3500: 3497: 3493: 3489: 3486: 3483: 3478: 3474: 3470: 3465: 3462: 3459: 3455: 3451: 3429: 3400: 3397: 3394: 3378: 3364: 3359: 3352: 3349: 3346: 3340: 3329: 3321: 3316: 3312: 3296: 3293: 3290: 3287: 3284: 3281: 3275: 3272: 3269: 3263: 3260: 3250: 3247: 3241: 3238: 3235: 3225: 3221: 3213: 3210: 3204: 3201: 3198: 3188: 3184: 3181: 3178: 3175: 3170: 3167: 3164: 3160: 3153: 3150: 3147: 3141: 3136: 3132: 3128: 3122: 3117: 3102: 3088: 3085: 3082: 3074: 3070: 3066: 3061: 3059: 3055: 3047: 3045: 3025: 3022: 3019: 3012: 3000: 2995: 2992: 2989: 2985: 2978: 2972: 2959: 2957: 2946: 2943: 2940: 2933: 2921: 2916: 2913: 2910: 2906: 2902: 2897: 2885: 2879: 2876: 2873: 2864: 2862: 2851: 2848: 2845: 2838: 2826: 2820: 2817: 2814: 2811: 2808: 2802: 2797: 2794: 2791: 2787: 2780: 2778: 2767: 2764: 2761: 2754: 2742: 2739: 2736: 2731: 2728: 2725: 2721: 2714: 2712: 2705: 2702: 2699: 2664: 2661: 2658: 2640: 2625: 2613: 2610: 2607: 2602: 2599: 2596: 2584: 2578: 2575: 2572: 2566: 2561: 2558: 2555: 2551: 2526: 2522: 2518: 2515: 2512: 2507: 2503: 2496: 2488: 2485: 2482: 2478: 2474: 2471: 2468: 2463: 2459: 2452: 2447: 2444: 2441: 2437: 2426: 2407: 2395: 2392: 2389: 2384: 2380: 2376: 2373: 2370: 2365: 2361: 2351: 2348: 2344: 2339: 2335: 2330: 2317: 2311: 2308: 2305: 2298: 2286: 2283: 2280: 2275: 2272: 2269: 2265: 2258: 2253: 2250: 2247: 2216: 2213: 2210: 2206: 2195: 2182: 2176: 2170: 2166: 2162: 2159: 2156: 2151: 2147: 2140: 2135: 2104: 2100: 2096: 2093: 2090: 2085: 2081: 2072: 2068: 2064: 2060: 2052: 2043: 2038: 2031: 2026: 2019: 2014: 2012: 1998: 1995: 1992: 1969: 1966: 1963: 1959: 1937: 1934: 1931: 1911: 1891: 1888: 1885: 1857: 1854: 1849: 1846: 1843: 1839: 1834: 1831: 1826: 1822: 1816: 1813: 1808: 1804: 1799: 1795: 1789: 1786: 1783: 1779: 1766: 1739: 1734: 1730: 1726: 1715: 1714: 1713: 1699: 1671: 1668: 1665: 1661: 1651: 1624: 1621: 1610: 1609: 1608: 1592: 1588: 1564: 1561: 1556: 1552: 1548: 1545: 1542: 1537: 1533: 1509: 1497: 1495: 1493: 1488: 1485: 1480: 1478: 1473: 1469: 1455: 1446: 1444: 1428: 1425: 1422: 1413: 1411: 1382: 1379: 1376: 1373: 1370: 1366: 1362: 1357: 1354: 1351: 1347: 1334: 1331: 1326: 1316: 1313: 1301: 1299: 1289: 1284: 1281: 1278: 1274: 1268: 1263: 1258: 1255: 1252: 1249: 1246: 1242: 1236: 1224: 1221: 1209: 1203: 1190: 1186: 1182: 1179: 1176: 1171: 1168: 1165: 1162: 1159: 1155: 1151: 1146: 1143: 1140: 1137: 1134: 1130: 1117: 1114: 1105: 1103: 1086: 1083: 1077: 1071: 1068: 1065: 1062: 1059: 1055: 1051: 1046: 1043: 1040: 1037: 1034: 1030: 1022: 1015: 1011: 1005: 1002: 999: 994: 991: 988: 985: 982: 979: 976: 972: 965: 959: 956: 953: 949: 945: 940: 936: 932: 929: 926: 921: 918: 915: 912: 909: 905: 901: 896: 893: 890: 887: 884: 880: 863: 860: 855: 853: 843: 839: 833: 830: 827: 822: 819: 816: 813: 810: 807: 804: 800: 794: 791: 786: 784: 772: 769: 729: 726: 695: 692: 689: 686: 683: 679: 656: 653: 650: 646: 625: 622: 619: 599: 596: 593: 590: 587: 567: 540: 537: 519: 500: 496: 490: 485: 482: 479: 476: 473: 470: 467: 463: 457: 454: 449: 447: 437: 431: 427: 423: 420: 417: 412: 409: 406: 403: 400: 396: 392: 387: 384: 381: 378: 375: 371: 364: 362: 355: 320: 291: 269: 265: 261: 258: 255: 250: 246: 242: 237: 233: 212: 192: 171: 163: 159: 155: 147: 140: 138: 135: 130: 125: 121: 119: 115: 114:boxcar filter 111: 107: 104: 100: 96: 91: 89: 85: 81: 77: 73: 69: 65: 61: 57: 53: 43: 37: 33: 19: 7450: 7417: 7362:Mark Hulbert 7088: 6955:Morning star 6784:Market trend 6705: 6693: 6674: 6667: 6579:Econometrics 6529: / 6512:Chemometrics 6489:Epidemiology 6482: / 6455:Applications 6297:ARIMA model 6244:Q-statistic 6193:Stationarity 6089:Multivariate 6032: / 6028: / 6026:Multivariate 6024: / 5964: / 5960: / 5734:Bayes factor 5633:Signed rank 5545: 5519: 5511: 5499: 5194:Completeness 5030:Cohort study 4928:Opinion poll 4863:Missing data 4850:Study design 4805:Scatter plot 4727:Scatter plot 4720:Spearman's ρ 4682:Grouped data 4383: 4369: 4356: 4343: 4332: 4317: 4306:. Retrieved 4302:the original 4292: 4278: 4265: 4249: 4245: 4233: 4200:Rolling hash 4148: 4141: 4122: 4111: 4102: 3984: 3980: 3977: 3968: 3964: 3945: 3940: 3938: 3916: 3912: 3910: 3890: 3613: 3379: 3325: 3319: 3318:WMA weights 3103: 3072: 3068: 3064: 3062: 3058:pixelization 3051: 2641: 2424: 2352: 2346: 2342: 2337: 2333: 2331: 2196: 2070: 2062: 2058: 2056: 1877: 1691: 1522:environment 1501: 1489: 1483: 1481: 1476: 1474: 1470: 1447: 1414: 520: 157: 153: 151: 126: 122: 118:downsampling 113: 92: 72:rolling mean 71: 67: 63: 59: 55: 48: 7491:Time series 7405:forecasting 7357:John Murphy 7347:Charles Dow 7317:Ulcer index 7194:Force index 7164:Williams %R 7030:Pivot point 6915:Candlestick 6800:Candlestick 6707:WikiProject 6622:Cartography 6584:Jurimetrics 6536:Reliability 6267:Time domain 6246:(Ljung–Box) 6168:Time-series 6046:Categorical 6030:Time-series 6022:Categorical 5957:(Bernoulli) 5792:Correlation 5772:Correlation 5568:Jarque–Bera 5540:Chi-squared 5302:M-estimator 5255:Asymptotics 5199:Sufficiency 4966:Interaction 4878:Replication 4858:Effect size 4815:Violin plot 4795:Radar chart 4775:Forest plot 4765:Correlogram 4715:Kendall's τ 3054:convolution 2679:results in 129:time series 95:convolution 68:moving mean 7480:Categories 7290:Arms index 7229:Volatility 7107:Trend line 7084:Mass index 7017:resistance 7006:Indicators 6830:Line break 6774:Dow theory 6574:Demography 6292:ARMA model 6097:Regression 5674:(Friedman) 5635:(Wilcoxon) 5573:Normality 5563:Lilliefors 5510:Student's 5386:Resampling 5260:Robustness 5248:divergence 5238:Efficiency 5176:(monotone) 5171:Likelihood 5088:Population 4921:Stratified 4873:Population 4692:Dependence 4648:Count data 4579:Percentile 4556:Dispersion 4489:Arithmetic 4424:Statistics 4308:2010-10-26 4226:References 4097:where the 3907:EWMA chart 97:. Thus in 84:cumulative 52:statistics 7342:Ned Davis 6992:Bear trap 6987:Bull trap 5955:Logistic 5722:posterior 5648:Rank sum 5396:Jackknife 5391:Bootstrap 5209:Bootstrap 5144:Parameter 5093:Statistic 4888:Statistic 4800:Run chart 4785:Pie chart 4780:Histogram 4770:Fan chart 4745:Bar chart 4627:L-moments 4514:Geometric 4071:− 4057:… 4046:− 4002:~ 3858:⋯ 3846:− 3817:Numerator 3769:− 3737:Numerator 3712:Numerator 3692:− 3681:− 3559:− 3545:⋯ 3501:− 3490:− 3487:⋯ 3484:− 3471:− 3330:equal to 3285:⋯ 3273:− 3239:− 3202:− 3179:⋯ 3168:− 3151:− 3086:− 3001:− 2922:− 2886:⋅ 2827:⋅ 2818:− 2743:⋅ 2614:⋅ 2608:− 2585:⋅ 2516:⋯ 2497:− 2472:⋯ 2396:⋅ 2374:⋯ 2287:⋅ 2160:⋯ 2094:… 1999:ε 1996:⋅ 1970:ε 1967:⋅ 1932:ε 1886:ε 1878:A larger 1835:ε 1817:ε 1814:− 1800:∫ 1796:⋅ 1790:ε 1787:⋅ 1772:↦ 1752:→ 1657:↦ 1637:→ 1565:ε 1546:ε 1543:− 1510:ε 1374:− 1363:− 1250:− 1237:− 1204:⏟ 1180:⋯ 1163:− 1138:− 1078:⏟ 1063:− 1052:− 1038:− 986:− 973:∑ 966:⏟ 930:⋯ 913:− 888:− 814:− 801:∑ 687:− 591:− 477:− 464:∑ 421:⋯ 404:− 379:− 259:… 134:economics 7330:Analysts 7128:Momentum 7051:(A.D.X.) 6895:Triangle 6839:Patterns 6764:Breakout 6757:Concepts 6669:Category 6362:Survival 6239:Johansen 5962:Binomial 5917:Isotonic 5504:(normal) 5149:location 4956:Blocking 4911:Sampling 4790:Q–Q plot 4755:Box plot 4737:Graphics 4632:Skewness 4622:Kurtosis 4594:Variance 4524:Heronian 4519:Harmonic 4153:See also 103:low-pass 88:weighted 76:averages 7407:methods 7276:Breadth 6942:Complex 6695:Commons 6642:Kriging 6527:Process 6484:studies 6343:Wavelet 6176:General 5343:Plug-in 5137:L space 4916:Cluster 4617:Moments 4435:Outline 4324:at the 3960:⁠ 3948:⁠ 3611:, then 2073:values 2067:average 1580:around 90:forms. 7292:(TRIN) 7175:Volume 7080:(MACD) 6924:Simple 6793:Charts 6564:Census 6154:Normal 6102:Manova 5922:Robust 5672:2-way 5664:1-way 5502:-test 5173:  4750:Biplot 4541:Median 4534:Lehmer 4476:Center 4256:  4099:median 4018:Median 80:simple 7305:Other 7286:(ADL) 7261:(VIX) 7239:(ATR) 7220:(VPT) 7214:(PCR) 7208:(OBV) 7202:(NVI) 7190:(EMV) 7155:(TSI) 7144:(RSI) 7138:(MFI) 7103:(SMI) 7097:(SAR) 7069:(KST) 7063:(DPO) 7057:(CCI) 7041:Trend 6847:Chart 6805:Renko 6188:Trend 5717:prior 5659:anova 5548:-test 5522:-test 5514:-test 5421:Power 5366:Pivot 5159:shape 5154:scale 4604:Shape 4584:Range 4529:Heinz 4504:Cubic 4440:Index 4142:In a 3983:over 3929:datum 3774:Total 3652:Total 3627:Total 3592:Total 2057:In a 86:, or 7245:(BB) 7196:(FI) 7166:(%R) 7119:(VI) 7112:Trix 7091:(MA) 7032:(PP) 6932:Doji 6815:Line 6810:Kagi 6421:Test 5621:Sign 5473:Wald 4546:Mode 4484:Mean 4254:ISBN 3415:and 3322:= 15 1935:> 1889:> 1321:prev 1229:prev 777:next 734:prev 545:next 162:mean 54:, a 34:and 7267:(σ) 6875:Gap 5601:BIC 5596:AIC 3957:320 3951:××× 3911:An 3790:WMA 3582:by 3444:is 3425:WMA 3390:WMA 3113:WMA 2427:+ 1 1308:SMA 1216:SMA 764:SMA 721:SMA 612:to 532:SMA 350:SMA 315:SMA 158:SMA 70:or 66:or 62:or 50:In 7482:: 4109:. 4009:SM 3007:CA 2967:CA 2928:CA 2892:CA 2833:CA 2749:CA 2694:CA 2653:CA 2620:CA 2591:CA 2402:CA 2345:= 2293:CA 2242:CA 2130:CA 2063:CA 1494:. 1445:. 749:. 120:. 82:, 7396:e 7389:t 7382:v 6742:e 6735:t 6728:v 5546:G 5520:F 5512:t 5500:Z 5219:V 5214:U 4416:e 4409:t 4402:v 4377:. 4311:. 4273:. 4103:n 4085:) 4080:1 4077:+ 4074:n 4068:M 4064:p 4060:, 4054:, 4049:1 4043:M 4039:p 4035:, 4030:M 4026:p 4022:( 4014:= 3999:p 3985:n 3954:/ 3870:1 3867:+ 3864:2 3861:+ 3855:+ 3852:) 3849:1 3843:n 3840:( 3837:+ 3834:n 3828:1 3825:+ 3822:M 3810:= 3801:1 3798:+ 3795:M 3779:M 3764:1 3761:+ 3758:M 3754:p 3750:n 3747:+ 3742:M 3732:= 3723:1 3720:+ 3717:M 3701:1 3698:+ 3695:n 3689:M 3685:p 3676:1 3673:+ 3670:M 3666:p 3662:+ 3657:M 3647:= 3638:1 3635:+ 3632:M 3597:M 3568:1 3565:+ 3562:n 3556:M 3552:p 3548:+ 3542:+ 3537:M 3533:p 3510:1 3507:+ 3504:n 3498:M 3494:p 3479:M 3475:p 3466:1 3463:+ 3460:M 3456:p 3452:n 3430:M 3401:1 3398:+ 3395:M 3365:. 3360:2 3356:) 3353:1 3350:+ 3347:n 3344:( 3341:n 3320:n 3297:1 3294:+ 3291:2 3288:+ 3282:+ 3279:) 3276:1 3270:n 3267:( 3264:+ 3261:n 3254:) 3251:1 3248:+ 3245:) 3242:n 3236:M 3233:( 3230:( 3226:p 3222:+ 3217:) 3214:2 3211:+ 3208:) 3205:n 3199:M 3196:( 3193:( 3189:p 3185:2 3182:+ 3176:+ 3171:1 3165:M 3161:p 3157:) 3154:1 3148:n 3145:( 3142:+ 3137:M 3133:p 3129:n 3123:= 3118:M 3089:1 3083:n 3073:n 3069:n 3026:1 3023:+ 3020:n 3013:n 2996:1 2993:+ 2990:n 2986:x 2979:+ 2973:n 2960:= 2947:1 2944:+ 2941:n 2934:n 2917:1 2914:+ 2911:n 2907:x 2903:+ 2898:n 2883:) 2880:1 2877:+ 2874:n 2871:( 2865:= 2852:1 2849:+ 2846:n 2839:n 2824:) 2821:1 2815:1 2812:+ 2809:n 2806:( 2803:+ 2798:1 2795:+ 2792:n 2788:x 2781:= 2768:1 2765:+ 2762:n 2755:n 2740:n 2737:+ 2732:1 2729:+ 2726:n 2722:x 2715:= 2706:1 2703:+ 2700:n 2665:1 2662:+ 2659:n 2626:n 2611:n 2603:1 2600:+ 2597:n 2582:) 2579:1 2576:+ 2573:n 2570:( 2567:= 2562:1 2559:+ 2556:n 2552:x 2532:) 2527:n 2523:x 2519:+ 2513:+ 2508:1 2504:x 2500:( 2494:) 2489:1 2486:+ 2483:n 2479:x 2475:+ 2469:+ 2464:1 2460:x 2456:( 2453:= 2448:1 2445:+ 2442:n 2438:x 2425:n 2408:n 2393:n 2390:= 2385:n 2381:x 2377:+ 2371:+ 2366:1 2362:x 2347:N 2343:n 2338:n 2334:n 2318:. 2312:1 2309:+ 2306:n 2299:n 2284:n 2281:+ 2276:1 2273:+ 2270:n 2266:x 2259:= 2254:1 2251:+ 2248:n 2217:1 2214:+ 2211:n 2207:x 2183:. 2177:n 2171:n 2167:x 2163:+ 2157:+ 2152:1 2148:x 2141:= 2136:n 2105:n 2101:x 2097:, 2091:. 2086:1 2082:x 2071:n 2061:( 1993:2 1964:2 1960:1 1938:0 1912:f 1892:0 1858:t 1855:d 1850:) 1847:t 1844:( 1840:f 1832:+ 1827:o 1823:x 1809:o 1805:x 1784:2 1780:1 1767:x 1758:R 1746:R 1740:: 1735:f 1731:A 1727:M 1700:f 1672:) 1669:x 1666:( 1662:f 1652:x 1643:R 1631:R 1625:: 1622:f 1593:o 1589:x 1568:] 1562:+ 1557:o 1553:x 1549:, 1538:o 1534:x 1530:[ 1456:k 1429:n 1426:= 1423:k 1390:) 1383:1 1380:+ 1377:k 1371:n 1367:p 1358:1 1355:+ 1352:n 1348:p 1342:( 1335:k 1332:1 1327:+ 1317:, 1314:k 1302:= 1290:k 1285:1 1282:+ 1279:n 1275:p 1269:+ 1264:k 1259:1 1256:+ 1253:k 1247:n 1243:p 1225:, 1222:k 1210:= 1198:) 1191:n 1187:p 1183:+ 1177:+ 1172:2 1169:+ 1166:k 1160:n 1156:p 1152:+ 1147:1 1144:+ 1141:k 1135:n 1131:p 1125:( 1118:k 1115:1 1106:= 1094:) 1087:0 1084:= 1072:1 1069:+ 1066:k 1060:n 1056:p 1047:1 1044:+ 1041:k 1035:n 1031:p 1023:+ 1016:i 1012:p 1006:1 1003:+ 1000:n 995:2 992:+ 989:k 983:n 980:= 977:i 960:1 957:+ 954:n 950:p 946:+ 941:n 937:p 933:+ 927:+ 922:3 919:+ 916:k 910:n 906:p 902:+ 897:2 894:+ 891:k 885:n 881:p 871:( 864:k 861:1 856:= 844:i 840:p 834:1 831:+ 828:n 823:2 820:+ 817:k 811:n 808:= 805:i 795:k 792:1 787:= 773:, 770:k 730:, 727:k 696:1 693:+ 690:k 684:n 680:p 657:1 654:+ 651:n 647:p 626:1 623:+ 620:n 600:2 597:+ 594:k 588:n 568:k 541:, 538:k 501:i 497:p 491:n 486:1 483:+ 480:k 474:n 471:= 468:i 458:k 455:1 450:= 438:k 432:n 428:p 424:+ 418:+ 413:2 410:+ 407:k 401:n 397:p 393:+ 388:1 385:+ 382:k 376:n 372:p 365:= 356:k 321:k 292:k 270:n 266:p 262:, 256:, 251:2 247:p 243:, 238:1 234:p 213:n 193:k 172:k 156:( 58:( 38:. 20:)

Index

Exponential moving average
Moving-average model
Moving average (disambiguation)

statistics
averages
simple
cumulative
weighted
convolution
signal processing
low-pass
finite impulse response
boxcar function
downsampling
time series
economics

mean
circular buffer
cumulative moving average
sinc-in-frequency
Continuous moving average sine and polynom - visualization of the smoothing with a small interval for integration
Continuous moving average sine and polynom - visualization of the smoothing with a larger interval for integration
Animation showing the impact of interval width and smoothing by moving average.
average
convolution
pixelization

triangle number

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