Knowledge (XXG)

Statistical regularity

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once, it is difficult to predict the outcome, but if one repeats this experiment many times, one will see that the number of times each result occurs divided by the number of throws will eventually stabilize towards a specific value.
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Repeating a series of trials will produce similar, but not identical, results for each series: the average, the standard deviation and other distributional characteristics will be around the same for each series of trials.
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that random events exhibit regularity when repeated enough times or that enough sufficiently similar random events exhibit regularity. It is an
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Observations of this phenomenon provided the initial motivation for the concept of what is now known as
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Stochastic-Process Limits, An Introduction to Stochastic-Process Limits and their Application to Queues
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of a manufacturing process, and in many other parts of our lives.
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Probability and Random Processes for Electrical Engineering
136:but its sources remain unclear because it lacks 80:This phenomenon should not be confused with the 8: 167:Learn how and when to remove this message 185:(2nd ed.). Boston: Addison-Wesley. 202:"Experiencing Statistical Regularity" 7: 94:Impossibility of a gambling system 14: 113: 1: 181:Leon-Garcia, Albert (1994). 252: 99:Stationarity (statistics) 122:This article includes a 151:more precise citations. 211:. New York: Springer. 64:demographic statistics 58:The notion is used in 37:central limit theorems 17:Statistical regularity 75:frequency probability 200:Whitt, Ward (2002). 33:law of large numbers 124:list of references 25:probability theory 177: 176: 169: 82:gambler's fallacy 243: 236:Statistical laws 222: 206: 196: 172: 165: 161: 158: 152: 147:this article by 138:inline citations 117: 116: 109: 46:If one throws a 41:ergodic theorems 31:that covers the 251: 250: 246: 245: 244: 242: 241: 240: 226: 225: 219: 204: 199: 193: 180: 173: 162: 156: 153: 142: 128:related reading 118: 114: 107: 90: 68:quality control 60:games of chance 19:is a notion in 12: 11: 5: 249: 247: 239: 238: 228: 227: 224: 223: 217: 197: 191: 175: 174: 132:external links 121: 119: 112: 106: 103: 102: 101: 96: 89: 86: 13: 10: 9: 6: 4: 3: 2: 248: 237: 234: 233: 231: 220: 218:0-387-95358-2 214: 210: 203: 198: 194: 192:0-201-50037-X 188: 184: 179: 178: 171: 168: 160: 157:February 2012 150: 146: 140: 139: 133: 129: 125: 120: 111: 110: 104: 100: 97: 95: 92: 91: 87: 85: 83: 78: 76: 71: 69: 65: 61: 56: 52: 49: 44: 42: 38: 34: 30: 29:umbrella term 26: 22: 18: 208: 182: 163: 154: 143:Please help 135: 79: 72: 57: 53: 45: 16: 15: 149:introducing 105:References 21:statistics 230:Category 88:See also 145:improve 215:  189:  35:, all 205:(PDF) 130:, or 213:ISBN 187:ISBN 48:dice 39:and 23:and 232:: 207:. 134:, 126:, 77:. 66:, 62:, 43:. 221:. 195:. 170:) 164:( 159:) 155:( 141:.

Index

statistics
probability theory
umbrella term
law of large numbers
central limit theorems
ergodic theorems
dice
games of chance
demographic statistics
quality control
frequency probability
gambler's fallacy
Impossibility of a gambling system
Stationarity (statistics)
list of references
related reading
external links
inline citations
improve
introducing
Learn how and when to remove this message
ISBN
0-201-50037-X
"Experiencing Statistical Regularity"
ISBN
0-387-95358-2
Category
Statistical laws

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