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Random variate

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33: 344:"Deviate: the value of a random variable measured from some standard point of location, usually the mean. It is often understood that the value is expressed in standard measure, i.e., as a proportion of the parent standard deviation." Y. Dodge (Ed.) 199:
of values that the variable can take on. In that context, those values are also known as random variates or random deviates, and this represents a wider meaning than just that associated with
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is subtle and is not always made in the literature. It is useful when one wants to distinguish between a random variable itself with an associated
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on the one hand, and random draws from that probability distribution on the other, in particular when those draws are ultimately derived by
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Procedures to generate random variates corresponding to a given distribution are known as procedures for
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representations instead. Most computers lack a source of true randomness (like certain
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from computer procedures designed to create random variates corresponding to a
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was found. You can help implement the merge by following the instructions at
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is the difference of a random variate with respect to the distribution
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Then a random variate generation algorithm is any program that halts
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Computers have access to a source of random variates that are
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For the generation of non-uniform random variates, see
300:For the generation of uniform random variates, see 214:defines a random variate generation algorithm (for 8: 177:non-uniform pseudo-random variate generation 346:The Oxford Dictionary of Statistical Terms 52:, consensus to merge this page into 369:"Non-Uniform Random Variate Generation" 366:. New York: Springer-Verlag, pp. 1–2. ( 337: 144:processes driven by random influences ( 225:Computers can manipulate real numbers. 364:Non-Uniform Random Variate Generation 7: 25: 267:hardware random number generators 133:of the distribution (i.e., as a 31: 292:from a pseudo-random sequence. 140:Random variates are used when 1: 309:Pseudo-random number sampling 245:and exits with a real number 41:This page is currently being 96:is a particular outcome or 417: 290:floating-point arithmetic 187:, a random variable is a 54:Realization (probability) 302:Random number generation 286:probability distribution 276:The distinction between 171:random number generation 150:probability distribution 129:), often divided by the 401:Statistical randomness 321:Deviation (statistics) 60:and the resolution on 230:uniformly distributed 158:uniform distribution 154:uniform distribution 146:stochastic processes 271:pseudorandom number 269:), and instead use 189:measurable function 67:Process started in 185:probability theory 131:standard deviation 296:Practical aspects 193:probability space 78: 77: 73: 16:(Redirected from 408: 385: 383: 381: 380: 371:. Archived from 357: 351: 342: 197:measurable space 123:central location 70: 65: 35: 27: 21: 416: 415: 411: 410: 409: 407: 406: 405: 391: 390: 389: 388: 378: 376: 367: 358: 354: 343: 339: 334: 317: 298: 278:random variable 234:closed interval 209: 104:random variable 74: 68: 47: 36: 23: 22: 15: 12: 11: 5: 414: 412: 404: 403: 393: 392: 387: 386: 352: 336: 335: 333: 330: 329: 328: 323: 316: 313: 297: 294: 282:random variate 263:floating point 259: 258: 255:random variate 239: 238: 237: 226: 218:) as follows: 208: 205: 135:standard score 115:random deviate 108:random numbers 90:random variate 76: 75: 62:the discussion 39: 37: 30: 24: 14: 13: 10: 9: 6: 4: 3: 2: 413: 402: 399: 398: 396: 375:on 2009-05-05 374: 370: 365: 361: 356: 353: 350: 347: 341: 338: 331: 327: 324: 322: 319: 318: 314: 312: 310: 305: 303: 295: 293: 291: 287: 283: 279: 274: 272: 268: 264: 256: 252: 248: 244: 243:almost surely 240: 235: 231: 227: 224: 223: 221: 220: 219: 217: 213: 206: 204: 202: 198: 194: 190: 186: 181: 179: 178: 173: 172: 165: 163: 159: 155: 151: 147: 143: 138: 136: 132: 128: 124: 120: 116: 111: 109: 105: 101: 100: 95: 91: 87: 83: 72: 63: 59: 55: 51: 46: 44: 38: 34: 29: 28: 19: 377:. Retrieved 373:the original 363: 355: 345: 340: 306: 299: 281: 277: 275: 273:sequences.) 260: 254: 253:is called a 250: 246: 222:Assume that 216:real numbers 210: 201:pseudorandom 182: 175: 168: 166: 162:pseudorandom 139: 118: 114: 112: 98: 93: 89: 79: 69:October 2022 66: 58:Help:Merging 50:a discussion 40: 360:Luc Devroye 99:realization 82:probability 379:2009-05-05 332:References 207:Definition 169:(uniform) 142:simulating 117:or simply 92:or simply 86:statistics 326:Raw score 203:numbers. 164:numbers. 395:Category 362:(1986). 315:See also 249:. This 232:on the 212:Devroye 191:from a 125:(e.g., 119:deviate 94:variate 18:Variate 48:After 43:merged 195:to a 102:of a 280:and 127:mean 88:, a 84:and 183:In 174:or 160:of 137:). 110:). 80:In 397:: 348:, 311:. 304:. 180:. 113:A 384:) 382:. 257:. 251:x 247:x 236:. 71:. 64:. 45:. 20:)

Index

Variate

merged
a discussion
Realization (probability)
Help:Merging
the discussion
probability
statistics
realization
random variable
random numbers
central location
mean
standard deviation
standard score
simulating
stochastic processes
probability distribution
uniform distribution
uniform distribution
pseudorandom
random number generation
non-uniform pseudo-random variate generation
probability theory
measurable function
probability space
measurable space
pseudorandom
Devroye

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