Knowledge

Shape parameter

Source 📝

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of a distribution rather than simply shifting it (as a location parameter does) or stretching/shrinking it (as a scale parameter does). For example, "peakedness" refers to how round the main peak is.
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have a shape parameter, so their shape is fixed and only their location or their scale or both can change. It follows that (where they exist) the
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measure location or scale; however, estimators for shape parameters also exist. Most simply, they can be estimated in terms of the higher
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of these distribution are constants, as skewness and kurtosis are independent of location and scale parameters.
237: 192: 2277: 2647: 2414: 1962: 1927: 1891: 1676: 1118: 1027: 986: 898: 589: 428: 264: 222: 51: 1684: 1668: 2556: 2169: 2109: 2046: 1406: 1268: 1258: 1108: 1022: 177: 167: 127:(non-linear functions of the data), as in the higher moments, but linear estimators also exist, such as the 124: 2317: 2254: 2594: 2524: 2009: 1896: 893: 790: 697: 576: 475: 232: 227: 2715: 1593: 2619: 2561: 2504: 2330: 2223: 2132: 1858: 1742: 1601: 1483: 1475: 1290: 1186: 1164: 1123: 1088: 1055: 1001: 976: 931: 870: 830: 632: 455: 274: 2698: 1588: 2542: 2117: 2066: 2042: 2004: 1922: 1901: 1853: 1732: 1710: 1679: 1465: 1416: 1334: 1307: 1263: 1219: 981: 757: 637: 242: 217: 104: 2689: 2614: 2537: 2218: 1982: 1975: 1937: 1845: 1825: 1797: 1530: 1396: 1391: 1381: 1373: 1191: 1152: 1042: 1032: 941: 720: 676: 594: 519: 421: 279: 269: 212: 162: 47: 2264: 2703: 2514: 2368: 2213: 2089: 1986: 1970: 1947: 1724: 1458: 1441: 1401: 1312: 1207: 1169: 1140: 1100: 1060: 1006: 923: 609: 604: 316: 197: 182: 157: 132: 55: 31: 2609: 2579: 2571: 2391: 2382: 2307: 2238: 2094: 2079: 2054: 1942: 1883: 1749: 1737: 1363: 1280: 1224: 1147: 991: 913: 692: 566: 400: 361: 152: 147: 123:(4th moment), if the higher moments are defined and finite. Estimators of shape often involve 2634: 2589: 2353: 2340: 2233: 2208: 2142: 2074: 1952: 1560: 1453: 1386: 1299: 1246: 1065: 936: 730: 529: 496: 390: 68: 2551: 2295: 2157: 2084: 1759: 1633: 1606: 1583: 1552: 1174: 1128: 858: 509: 59: 337:"On the Moments, Cumulants, and Characteristic Function of the Log-Logistic Distribution" 75: 2500: 2495: 958: 888: 534: 83: 63: 2743: 2657: 2624: 2487: 2448: 2259: 2228: 1692: 1646: 1251: 953: 780: 544: 539: 810: 2599: 2532: 2509: 2424: 1754: 1050: 948: 883: 825: 747: 702: 2642: 2604: 2287: 2188: 2050: 1863: 1830: 1322: 1239: 1234: 878: 835: 815: 795: 785: 554: 27:
Kind of numerical parameter of a parametric family of probability distributions
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The following continuous probability distributions have a shape parameter:
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Everitt B.S. (2002) Cambridge Dictionary of Statistics. 2nd Edition. CUP.
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Ekawati, Dian; Warsono; Kurniasari, Dian (December 2014).
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By contrast, the following continuous distributions do
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Autoregressive conditional heteroskedasticity (ARCH)
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Such a parameter must affect the 62:(nor a function of these, such as a 2722: 2005:Analysis of variance (ANOVA, anova) 2100:Cochran–Mantel–Haenszel statistics 726:Pearson product-moment correlation 25: 2721: 2709: 2697: 2684: 2683: 82:for selected distributions with 2359:Least-squares spectral analysis 1340:Mean-unbiased minimum-variance 295:Wigner semicircle distribution 173:Exponential power distribution 1: 2653:Geographic information system 1869:Simultaneous equations models 208:Inverse Gaussian distribution 135:estimation can also be used. 80:Probability density functions 1836:Coefficient of determination 1447:Uniformly most powerful test 2405:Proportional hazards models 2349:Spectral density estimation 2331:Vector autoregression (VAR) 1765:Maximum posterior estimator 997:Randomized controlled trial 2766: 2165:Multivariate distributions 585:Average absolute deviation 285:Raised cosine distribution 203:Inverse-gamma distribution 50:of a parametric family of 2679: 2482: 2469: 2153:Structural equation model 2061: 2036: 1807: 1783: 1515: 1489:Score/Lagrange multiplier 1095: 1082: 904:Sample size determination 865: 852: 482: 469: 451: 238:Tukey lambda distribution 193:Log-logistic distribution 52:probability distributions 2648:Environmental statistics 2170:Elliptical distributions 1963:Generalized linear model 1892:Simple linear regression 1662:Hodges–Lehmann estimator 1119:Probability distribution 1028:Stochastic approximation 590:Coefficient of variation 377:Birnbaum, Z. W. (1948). 265:Exponential distribution 233:Student's t-distribution 223:Skew normal distribution 2308:Cross-correlation (XCF) 1916:Non-standard predictors 1350:Lehmann–ScheffĂ© theorem 1023:Adaptive clinical trial 396:10.1214/aoms/1177730293 168:ExGaussian distribution 125:higher-order statistics 2750:Statistical parameters 2704:Mathematics portal 2525:Engineering statistics 2433:Nelson–Aalen estimator 2010:Analysis of covariance 1897:Ordinary least squares 1821:Pearson product-moment 1225:Statistical functional 1136:Empirical distribution 969:Controlled experiments 698:Frequency distribution 476:Descriptive statistics 228:Lognormal distribution 91: 2620:Population statistics 2562:System identification 2296:Autocorrelation (ACF) 2224:Exponential smoothing 2138:Discriminant analysis 2133:Canonical correlation 1997:Partition of variance 1859:Regression validation 1703:(Jonckheere–Terpstra) 1602:Likelihood-ratio test 1291:Frequentist inference 1203:Location–scale family 1124:Sampling distribution 1089:Statistical inference 1056:Cross-sectional study 1043:Observational studies 1002:Randomized experiment 831:Stem-and-leaf display 633:Central limit theorem 275:Logistic distribution 78: 2543:Probabilistic design 2128:Principal components 1971:Exponential families 1923:Nonlinear regression 1902:General linear model 1864:Mixed effects models 1854:Errors and residuals 1831:Confounding variable 1733:Bayesian probability 1711:Van der Waerden test 1701:Ordered alternative 1466:Multiple comparisons 1345:Rao–Blackwellization 1308:Estimating equations 1264:Statistical distance 982:Factorial experiment 515:Arithmetic-Geometric 290:Uniform distribution 243:Weibull distribution 218:Pearson distribution 178:FrĂ©chet distribution 2615:Official statistics 2538:Methods engineering 2219:Seasonal adjustment 1987:Poisson regressions 1907:Bayesian regression 1846:Regression analysis 1826:Partial correlation 1798:Regression analysis 1397:Prediction interval 1392:Likelihood interval 1382:Confidence interval 1374:Interval estimation 1335:Unbiased estimators 1153:Model specification 1033:Up-and-down designs 721:Partial correlation 677:Index of dispersion 595:Interquartile range 280:Normal distribution 270:Cauchy distribution 213:Pareto distribution 163:Erlang distribution 48:numerical parameter 2635:Spatial statistics 2515:Medical statistics 2415:First hitting time 2369:Whittle likelihood 2020:Degrees of freedom 2015:Multivariate ANOVA 1948:Heteroscedasticity 1760:Bayesian estimator 1725:Bayesian inference 1574:Kolmogorov–Smirnov 1459:Randomization test 1429:Testing hypotheses 1402:Tolerance interval 1313:Maximum likelihood 1208:Exponential family 1141:Density estimation 1101:Statistical theory 1061:Natural experiment 1007:Scientific control 924:Survey methodology 610:Standard deviation 317:Location parameter 198:Log-t distribution 183:Gamma distribution 158:Dagum distribution 133:Maximum likelihood 92: 56:location parameter 54:that is neither a 32:probability theory 2737: 2736: 2675: 2674: 2671: 2670: 2610:National accounts 2580:Actuarial science 2572:Social statistics 2465: 2464: 2461: 2460: 2457: 2456: 2392:Survival function 2377: 2376: 2239:Granger causality 2080:Contingency table 2055:Survival analysis 2032: 2031: 2028: 2027: 1884:Linear regression 1779: 1778: 1775: 1774: 1750:Credible interval 1719: 1718: 1502: 1501: 1318:Method of moments 1187:Parametric family 1148:Statistical model 1078: 1077: 1074: 1073: 992:Random assignment 914:Statistical power 848: 847: 844: 843: 693:Contingency table 663: 662: 530:Generalized/power 153:Burr distribution 148:Beta distribution 109:method of moments 16:(Redirected from 2757: 2725: 2724: 2713: 2712: 2702: 2701: 2687: 2686: 2590:Crime statistics 2484: 2471: 2388: 2354:Fourier analysis 2341:Frequency domain 2321: 2268: 2234:Structural break 2194: 2143:Cluster analysis 2090:Log-linear model 2063: 2038: 1979: 1953:Homoscedasticity 1809: 1785: 1704: 1696: 1688: 1687:(Kruskal–Wallis) 1672: 1657: 1612:Cross validation 1597: 1579:Anderson–Darling 1526: 1513: 1484:Likelihood-ratio 1476:Parametric tests 1454:Permutation test 1437:1- & 2-tails 1328:Minimum distance 1300:Point estimation 1296: 1247:Optimal decision 1198: 1097: 1084: 1066:Quasi-experiment 1016:Adaptive designs 867: 854: 731:Rank correlation 493: 484: 471: 438: 431: 424: 415: 409: 408: 398: 374: 368: 358: 352: 351: 341: 332: 117:(3rd moment) or 21: 2765: 2764: 2760: 2759: 2758: 2756: 2755: 2754: 2740: 2739: 2738: 2733: 2696: 2667: 2629: 2566: 2552:quality control 2519: 2501:Clinical trials 2478: 2453: 2437: 2425:Hazard function 2419: 2373: 2335: 2319: 2282: 2278:Breusch–Godfrey 2266: 2243: 2183: 2158:Factor analysis 2104: 2085:Graphical model 2057: 2024: 1991: 1977: 1957: 1911: 1878: 1840: 1803: 1802: 1771: 1715: 1702: 1694: 1686: 1670: 1655: 1634:Rank statistics 1628: 1607:Model selection 1595: 1553:Goodness of fit 1547: 1524: 1498: 1470: 1423: 1368: 1357:Median unbiased 1285: 1196: 1129:Order statistic 1091: 1070: 1037: 1011: 963: 918: 861: 859:Data collection 840: 752: 707: 681: 659: 619: 571: 488:Continuous data 478: 465: 447: 442: 412: 376: 375: 371: 359: 355: 339: 334: 333: 329: 325: 303: 141: 97: 60:scale parameter 46:) is a kind of 42:(also known as 40:shape parameter 28: 23: 22: 15: 12: 11: 5: 2763: 2761: 2753: 2752: 2742: 2741: 2735: 2734: 2732: 2731: 2719: 2707: 2693: 2680: 2677: 2676: 2673: 2672: 2669: 2668: 2666: 2665: 2660: 2655: 2650: 2645: 2639: 2637: 2631: 2630: 2628: 2627: 2622: 2617: 2612: 2607: 2602: 2597: 2592: 2587: 2582: 2576: 2574: 2568: 2567: 2565: 2564: 2559: 2554: 2545: 2540: 2535: 2529: 2527: 2521: 2520: 2518: 2517: 2512: 2507: 2498: 2496:Bioinformatics 2492: 2490: 2480: 2479: 2474: 2467: 2466: 2463: 2462: 2459: 2458: 2455: 2454: 2452: 2451: 2445: 2443: 2439: 2438: 2436: 2435: 2429: 2427: 2421: 2420: 2418: 2417: 2412: 2407: 2402: 2396: 2394: 2385: 2379: 2378: 2375: 2374: 2372: 2371: 2366: 2361: 2356: 2351: 2345: 2343: 2337: 2336: 2334: 2333: 2328: 2323: 2315: 2310: 2305: 2304: 2303: 2301:partial (PACF) 2292: 2290: 2284: 2283: 2281: 2280: 2275: 2270: 2262: 2257: 2251: 2249: 2248:Specific tests 2245: 2244: 2242: 2241: 2236: 2231: 2226: 2221: 2216: 2211: 2206: 2200: 2198: 2191: 2185: 2184: 2182: 2181: 2180: 2179: 2178: 2177: 2162: 2161: 2160: 2150: 2148:Classification 2145: 2140: 2135: 2130: 2125: 2120: 2114: 2112: 2106: 2105: 2103: 2102: 2097: 2095:McNemar's test 2092: 2087: 2082: 2077: 2071: 2069: 2059: 2058: 2041: 2034: 2033: 2030: 2029: 2026: 2025: 2023: 2022: 2017: 2012: 2007: 2001: 1999: 1993: 1992: 1990: 1989: 1973: 1967: 1965: 1959: 1958: 1956: 1955: 1950: 1945: 1940: 1935: 1933:Semiparametric 1930: 1925: 1919: 1917: 1913: 1912: 1910: 1909: 1904: 1899: 1894: 1888: 1886: 1880: 1879: 1877: 1876: 1871: 1866: 1861: 1856: 1850: 1848: 1842: 1841: 1839: 1838: 1833: 1828: 1823: 1817: 1815: 1805: 1804: 1801: 1800: 1795: 1789: 1788: 1781: 1780: 1777: 1776: 1773: 1772: 1770: 1769: 1768: 1767: 1757: 1752: 1747: 1746: 1745: 1740: 1729: 1727: 1721: 1720: 1717: 1716: 1714: 1713: 1708: 1707: 1706: 1698: 1690: 1674: 1671:(Mann–Whitney) 1666: 1665: 1664: 1651: 1650: 1649: 1638: 1636: 1630: 1629: 1627: 1626: 1625: 1624: 1619: 1614: 1604: 1599: 1596:(Shapiro–Wilk) 1591: 1586: 1581: 1576: 1571: 1563: 1557: 1555: 1549: 1548: 1546: 1545: 1537: 1528: 1516: 1510: 1508:Specific tests 1504: 1503: 1500: 1499: 1497: 1496: 1491: 1486: 1480: 1478: 1472: 1471: 1469: 1468: 1463: 1462: 1461: 1451: 1450: 1449: 1439: 1433: 1431: 1425: 1424: 1422: 1421: 1420: 1419: 1414: 1404: 1399: 1394: 1389: 1384: 1378: 1376: 1370: 1369: 1367: 1366: 1361: 1360: 1359: 1354: 1353: 1352: 1347: 1332: 1331: 1330: 1325: 1320: 1315: 1304: 1302: 1293: 1287: 1286: 1284: 1283: 1278: 1273: 1272: 1271: 1261: 1256: 1255: 1254: 1244: 1243: 1242: 1237: 1232: 1222: 1217: 1212: 1211: 1210: 1205: 1200: 1184: 1183: 1182: 1177: 1172: 1162: 1161: 1160: 1155: 1145: 1144: 1143: 1133: 1132: 1131: 1121: 1116: 1111: 1105: 1103: 1093: 1092: 1087: 1080: 1079: 1076: 1075: 1072: 1071: 1069: 1068: 1063: 1058: 1053: 1047: 1045: 1039: 1038: 1036: 1035: 1030: 1025: 1019: 1017: 1013: 1012: 1010: 1009: 1004: 999: 994: 989: 984: 979: 973: 971: 965: 964: 962: 961: 959:Standard error 956: 951: 946: 945: 944: 939: 928: 926: 920: 919: 917: 916: 911: 906: 901: 896: 891: 889:Optimal design 886: 881: 875: 873: 863: 862: 857: 850: 849: 846: 845: 842: 841: 839: 838: 833: 828: 823: 818: 813: 808: 803: 798: 793: 788: 783: 778: 773: 768: 762: 760: 754: 753: 751: 750: 745: 744: 743: 738: 728: 723: 717: 715: 709: 708: 706: 705: 700: 695: 689: 687: 686:Summary tables 683: 682: 680: 679: 673: 671: 665: 664: 661: 660: 658: 657: 656: 655: 650: 645: 635: 629: 627: 621: 620: 618: 617: 612: 607: 602: 597: 592: 587: 581: 579: 573: 572: 570: 569: 564: 559: 558: 557: 552: 547: 542: 537: 532: 527: 522: 520:Contraharmonic 517: 512: 501: 499: 490: 480: 479: 474: 467: 466: 464: 463: 458: 452: 449: 448: 443: 441: 440: 433: 426: 418: 411: 410: 369: 353: 326: 324: 321: 320: 319: 314: 309: 302: 299: 298: 297: 292: 287: 282: 277: 272: 267: 246: 245: 240: 235: 230: 225: 220: 215: 210: 205: 200: 195: 190: 185: 180: 175: 170: 165: 160: 155: 150: 140: 137: 96: 93: 64:rate parameter 44:form parameter 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 2762: 2751: 2748: 2747: 2745: 2730: 2729: 2720: 2718: 2717: 2708: 2706: 2705: 2700: 2694: 2692: 2691: 2682: 2681: 2678: 2664: 2661: 2659: 2658:Geostatistics 2656: 2654: 2651: 2649: 2646: 2644: 2641: 2640: 2638: 2636: 2632: 2626: 2625:Psychometrics 2623: 2621: 2618: 2616: 2613: 2611: 2608: 2606: 2603: 2601: 2598: 2596: 2593: 2591: 2588: 2586: 2583: 2581: 2578: 2577: 2575: 2573: 2569: 2563: 2560: 2558: 2555: 2553: 2549: 2546: 2544: 2541: 2539: 2536: 2534: 2531: 2530: 2528: 2526: 2522: 2516: 2513: 2511: 2508: 2506: 2502: 2499: 2497: 2494: 2493: 2491: 2489: 2488:Biostatistics 2485: 2481: 2477: 2472: 2468: 2450: 2449:Log-rank test 2447: 2446: 2444: 2440: 2434: 2431: 2430: 2428: 2426: 2422: 2416: 2413: 2411: 2408: 2406: 2403: 2401: 2398: 2397: 2395: 2393: 2389: 2386: 2384: 2380: 2370: 2367: 2365: 2362: 2360: 2357: 2355: 2352: 2350: 2347: 2346: 2344: 2342: 2338: 2332: 2329: 2327: 2324: 2322: 2320:(Box–Jenkins) 2316: 2314: 2311: 2309: 2306: 2302: 2299: 2298: 2297: 2294: 2293: 2291: 2289: 2285: 2279: 2276: 2274: 2273:Durbin–Watson 2271: 2269: 2263: 2261: 2258: 2256: 2255:Dickey–Fuller 2253: 2252: 2250: 2246: 2240: 2237: 2235: 2232: 2230: 2229:Cointegration 2227: 2225: 2222: 2220: 2217: 2215: 2212: 2210: 2207: 2205: 2204:Decomposition 2202: 2201: 2199: 2195: 2192: 2190: 2186: 2176: 2173: 2172: 2171: 2168: 2167: 2166: 2163: 2159: 2156: 2155: 2154: 2151: 2149: 2146: 2144: 2141: 2139: 2136: 2134: 2131: 2129: 2126: 2124: 2121: 2119: 2116: 2115: 2113: 2111: 2107: 2101: 2098: 2096: 2093: 2091: 2088: 2086: 2083: 2081: 2078: 2076: 2075:Cohen's kappa 2073: 2072: 2070: 2068: 2064: 2060: 2056: 2052: 2048: 2044: 2039: 2035: 2021: 2018: 2016: 2013: 2011: 2008: 2006: 2003: 2002: 2000: 1998: 1994: 1988: 1984: 1980: 1974: 1972: 1969: 1968: 1966: 1964: 1960: 1954: 1951: 1949: 1946: 1944: 1941: 1939: 1936: 1934: 1931: 1929: 1928:Nonparametric 1926: 1924: 1921: 1920: 1918: 1914: 1908: 1905: 1903: 1900: 1898: 1895: 1893: 1890: 1889: 1887: 1885: 1881: 1875: 1872: 1870: 1867: 1865: 1862: 1860: 1857: 1855: 1852: 1851: 1849: 1847: 1843: 1837: 1834: 1832: 1829: 1827: 1824: 1822: 1819: 1818: 1816: 1814: 1810: 1806: 1799: 1796: 1794: 1791: 1790: 1786: 1782: 1766: 1763: 1762: 1761: 1758: 1756: 1753: 1751: 1748: 1744: 1741: 1739: 1736: 1735: 1734: 1731: 1730: 1728: 1726: 1722: 1712: 1709: 1705: 1699: 1697: 1691: 1689: 1683: 1682: 1681: 1678: 1677:Nonparametric 1675: 1673: 1667: 1663: 1660: 1659: 1658: 1652: 1648: 1647:Sample median 1645: 1644: 1643: 1640: 1639: 1637: 1635: 1631: 1623: 1620: 1618: 1615: 1613: 1610: 1609: 1608: 1605: 1603: 1600: 1598: 1592: 1590: 1587: 1585: 1582: 1580: 1577: 1575: 1572: 1570: 1568: 1564: 1562: 1559: 1558: 1556: 1554: 1550: 1544: 1542: 1538: 1536: 1534: 1529: 1527: 1522: 1518: 1517: 1514: 1511: 1509: 1505: 1495: 1492: 1490: 1487: 1485: 1482: 1481: 1479: 1477: 1473: 1467: 1464: 1460: 1457: 1456: 1455: 1452: 1448: 1445: 1444: 1443: 1440: 1438: 1435: 1434: 1432: 1430: 1426: 1418: 1415: 1413: 1410: 1409: 1408: 1405: 1403: 1400: 1398: 1395: 1393: 1390: 1388: 1385: 1383: 1380: 1379: 1377: 1375: 1371: 1365: 1362: 1358: 1355: 1351: 1348: 1346: 1343: 1342: 1341: 1338: 1337: 1336: 1333: 1329: 1326: 1324: 1321: 1319: 1316: 1314: 1311: 1310: 1309: 1306: 1305: 1303: 1301: 1297: 1294: 1292: 1288: 1282: 1279: 1277: 1274: 1270: 1267: 1266: 1265: 1262: 1260: 1257: 1253: 1252:loss function 1250: 1249: 1248: 1245: 1241: 1238: 1236: 1233: 1231: 1228: 1227: 1226: 1223: 1221: 1218: 1216: 1213: 1209: 1206: 1204: 1201: 1199: 1193: 1190: 1189: 1188: 1185: 1181: 1178: 1176: 1173: 1171: 1168: 1167: 1166: 1163: 1159: 1156: 1154: 1151: 1150: 1149: 1146: 1142: 1139: 1138: 1137: 1134: 1130: 1127: 1126: 1125: 1122: 1120: 1117: 1115: 1112: 1110: 1107: 1106: 1104: 1102: 1098: 1094: 1090: 1085: 1081: 1067: 1064: 1062: 1059: 1057: 1054: 1052: 1049: 1048: 1046: 1044: 1040: 1034: 1031: 1029: 1026: 1024: 1021: 1020: 1018: 1014: 1008: 1005: 1003: 1000: 998: 995: 993: 990: 988: 985: 983: 980: 978: 975: 974: 972: 970: 966: 960: 957: 955: 954:Questionnaire 952: 950: 947: 943: 940: 938: 935: 934: 933: 930: 929: 927: 925: 921: 915: 912: 910: 907: 905: 902: 900: 897: 895: 892: 890: 887: 885: 882: 880: 877: 876: 874: 872: 868: 864: 860: 855: 851: 837: 834: 832: 829: 827: 824: 822: 819: 817: 814: 812: 809: 807: 804: 802: 799: 797: 794: 792: 789: 787: 784: 782: 781:Control chart 779: 777: 774: 772: 769: 767: 764: 763: 761: 759: 755: 749: 746: 742: 739: 737: 734: 733: 732: 729: 727: 724: 722: 719: 718: 716: 714: 710: 704: 701: 699: 696: 694: 691: 690: 688: 684: 678: 675: 674: 672: 670: 666: 654: 651: 649: 646: 644: 641: 640: 639: 636: 634: 631: 630: 628: 626: 622: 616: 613: 611: 608: 606: 603: 601: 598: 596: 593: 591: 588: 586: 583: 582: 580: 578: 574: 568: 565: 563: 560: 556: 553: 551: 548: 546: 543: 541: 538: 536: 533: 531: 528: 526: 523: 521: 518: 516: 513: 511: 508: 507: 506: 503: 502: 500: 498: 494: 491: 489: 485: 481: 477: 472: 468: 462: 459: 457: 454: 453: 450: 446: 439: 434: 432: 427: 425: 420: 419: 416: 406: 402: 397: 392: 388: 384: 380: 373: 370: 367: 366:0-521-81099-X 363: 357: 354: 349: 345: 338: 331: 328: 322: 318: 315: 313: 310: 308: 305: 304: 300: 296: 293: 291: 288: 286: 283: 281: 278: 276: 273: 271: 268: 266: 263: 262: 261: 259: 255: 251: 244: 241: 239: 236: 234: 231: 229: 226: 224: 221: 219: 216: 214: 211: 209: 206: 204: 201: 199: 196: 194: 191: 189: 186: 184: 181: 179: 176: 174: 171: 169: 166: 164: 161: 159: 156: 154: 151: 149: 146: 145: 144: 138: 136: 134: 130: 126: 122: 121: 116: 115: 110: 106: 102: 94: 89: 85: 81: 77: 73: 71: 70: 65: 61: 57: 53: 49: 45: 41: 37: 33: 19: 2726: 2714: 2695: 2688: 2600:Econometrics 2550: / 2533:Chemometrics 2510:Epidemiology 2503: / 2476:Applications 2318:ARIMA model 2265:Q-statistic 2214:Stationarity 2110:Multivariate 2053: / 2049: / 2047:Multivariate 2045: / 1985: / 1981: / 1755:Bayes factor 1654:Signed rank 1566: 1540: 1532: 1520: 1215:Completeness 1179: 1051:Cohort study 949:Opinion poll 884:Missing data 871:Study design 826:Scatter plot 748:Scatter plot 741:Spearman's ρ 703:Grouped data 386: 382: 372: 356: 347: 343: 330: 249: 247: 142: 118: 112: 111:, as in the 107:, using the 98: 67: 43: 39: 29: 2728:WikiProject 2643:Cartography 2605:Jurimetrics 2557:Reliability 2288:Time domain 2267:(Ljung–Box) 2189:Time-series 2067:Categorical 2051:Time-series 2043:Categorical 1978:(Bernoulli) 1813:Correlation 1793:Correlation 1589:Jarque–Bera 1561:Chi-squared 1323:M-estimator 1276:Asymptotics 1220:Sufficiency 987:Interaction 899:Replication 879:Effect size 836:Violin plot 816:Radar chart 796:Forest plot 786:Correlogram 736:Kendall's τ 2595:Demography 2313:ARMA model 2118:Regression 1695:(Friedman) 1656:(Wilcoxon) 1594:Normality 1584:Lilliefors 1531:Student's 1407:Resampling 1281:Robustness 1269:divergence 1259:Efficiency 1197:(monotone) 1192:Likelihood 1109:Population 942:Stratified 894:Population 713:Dependence 669:Count data 600:Percentile 577:Dispersion 510:Arithmetic 445:Statistics 323:References 101:estimators 95:Estimation 36:statistics 18:Peakedness 1976:Logistic 1743:posterior 1669:Rank sum 1417:Jackknife 1412:Bootstrap 1230:Bootstrap 1165:Parameter 1114:Statistic 909:Statistic 821:Run chart 806:Pie chart 801:Histogram 791:Fan chart 766:Bar chart 648:L-moments 535:Geometric 405:0003-4851 129:L-moments 2744:Category 2690:Category 2383:Survival 2260:Johansen 1983:Binomial 1938:Isotonic 1525:(normal) 1170:location 977:Blocking 932:Sampling 811:Q–Q plot 776:Box plot 758:Graphics 653:Skewness 643:Kurtosis 615:Variance 545:Heronian 540:Harmonic 312:Kurtosis 307:Skewness 301:See also 258:kurtosis 254:skewness 139:Examples 120:kurtosis 114:skewness 88:variance 2716:Commons 2663:Kriging 2548:Process 2505:studies 2364:Wavelet 2197:General 1364:Plug-in 1158:L space 937:Cluster 638:Moments 456:Outline 105:moments 2585:Census 2175:Normal 2123:Manova 1943:Robust 1693:2-way 1685:1-way 1523:-test 1194:  771:Biplot 562:Median 555:Lehmer 497:Center 403:  364:  86:0 and 58:nor a 2209:Trend 1738:prior 1680:anova 1569:-test 1543:-test 1535:-test 1442:Power 1387:Pivot 1180:shape 1175:scale 625:Shape 605:Range 550:Heinz 525:Cubic 461:Index 340:(PDF) 99:Many 69:shape 2442:Test 1642:Sign 1494:Wald 567:Mode 505:Mean 401:ISSN 362:ISBN 256:and 84:mean 38:, a 34:and 1622:BIC 1617:AIC 391:doi 250:not 30:In 2746:: 399:. 387:19 385:. 381:. 348:25 346:. 342:. 131:. 90:1. 1567:G 1541:F 1533:t 1521:Z 1240:V 1235:U 437:e 430:t 423:v 407:. 393:: 350:. 20:)

Index

Peakedness
probability theory
statistics
numerical parameter
probability distributions
location parameter
scale parameter
rate parameter
shape

Probability density functions
mean
variance
estimators
moments
method of moments
skewness
kurtosis
higher-order statistics
L-moments
Maximum likelihood
Beta distribution
Burr distribution
Dagum distribution
Erlang distribution
ExGaussian distribution
Exponential power distribution
Fréchet distribution
Gamma distribution
Generalized extreme value distribution

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