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Авторизация |
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Поиск по указателям |
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Grinstead C.M., Snell J.L. — Introduction to Probability |
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Предметный указатель |
Interarrival time, average 208
Interleaving 120
Irreducible Markov chain 433
Isle Royale 202
Jaynes, E.T. 49
Johnsonbough, R. 153
Joint cumulative distribution function 165
Joint density function 165
Joint distribution function 142
Joint random variable 142
Kahneman, D. 38
Kemeny's constant 469 470
Kemeny, J.G. 200 406 466
Kendall, D.G. 378
Keyfitz, N. 383
Kilgour, D.M. 179 182
Kingston, J.G. 157
Konold, C. 161
Kozelka, R.M. 344
Labouchere betting system 12 13
Labouchere, H. du P. 12
Lamperti, J. 267 324
Laplace, P.S. 51 53 350
Last return to the origin 482
Law (program) 310
Law of Averages 70
Law of Large Numbers 307 316
Law of Large Numbers, for Ergodic Markov Chains 439
Law of Large Numbers, strong 70
LawContinuous (program) 318
Lead change 482
Leonard, B. 256
Leontief, W.W. 426
Levasseur, K. 485
Library problem 82
Life table 39
Light bulb 66 72 172
Linda problem 38
Lindeberg, J.W. 344
Lipson, A. 161
Little's law for queues 276
Lockhorn, Mr. and Mrs. 65
Log normal density 224
Lottery Powerball 204
Lucas, E. 119
Maistrov, L. 150 310
Mann, B. 120
Margin of error 335
Marginal distribution function 143
Markov chain 405
Markov chain, absorbing 415
Markov chain, ergodic 433
Markov chain, irreducible 433
Markov chain, regular 433
Markov Chains, Central Limit Theorem for 464
Markov Chains, Fundamental Limit Theorem for Regular 448
Markov, A.A. 464
Martingale 241 242 428
Martingale betting system 11 14 248
Martingale origin of word 11
Matrix, fundamental 419
MatrixPowers (program) 407
Maximum, likelihood estimate 198 202
Maximum, Likelihood Principle 91 117
Maxwell density 215
Maze 440 453
McCracken, D. 10
Mean 226
Mean first passage matrix 455
Mean first passage time 452
Mean recurrence matrix 455
Mean recurrence time 454
Memoryless property 68 164 206
Milk 252
Modular arithmetic 10
Moment generating function 366 395
Moment problem 368 398
Moments 365 394
Monopoly 469
MonteCarlo (program) 42
Monty Hall problem 136 161
Moose 202
Mortality table 246
Mule kicks 201
Muller, M.E. 213
Multiple-gene hypothesis 348
Mustache 153
Mutually independent events 141
Mutually independent random variables 143
n! 80
Negative binomial distribution 186
New York Times 340
New York Yankees 118 253
New-Age Solitaire 130
Newcomb, S. 196
NFoldConvolution (program) 287
Nigrini, M. 196
Normal density 47 212
NormalArea (program) 322
Nursery rhyme 84
Odds 27
Ordering, random 127
Ordinary generating function 370
Ore, O. 30 31
Outcome 18
Oz, Land of 406 439
Pascal's triangle 94 103 108
Pascal, B. 4 32—35 107 112—113 156 242 245
Paternity suit 222
Pearson, K. 9 351
Penney, W. 432
People v. Collins 153 202
Perlman, M.D. 45
Permutation 79
Permutation, fixed points of 82
Philadelphia 76ers 15
photons 106
Pickwick, Mr. 153
Pilsdorff Beer Company 279
Pittel, B. 256
Point count 287
Poisson approximation to the binomial distribution 189
Poisson distribution 187
Poisson distribution, variance of 262
Poker 95
Polls 333
Polya urn model 152 174
Ponytail 153
Posterior probabilities 145
Powerball lottery 204
PowerCurve (program) 102
Presidential election 336
Price, C. 86
Prior probabilities 145
Probability of an event 19
Probability transition 406
Probability vector 407
Probability, Bayes 136
Probability, conditional 133
Probability, frequency concept of 2
Problem of points 32 112 147 156
Process, random 128
Propp, J. 256
Prosser, R. 200
Protons 106
Quadratic equation, roots of 73
quantum mechanics 107
Quetelet, A. 350
Queue (program) 208
Queues 186 208 275
| Quincunx 351
Rabelais, F. 12
Racquetball 157
Radioactive isotope 66 71
Rand Corporation 10
Random continuous 58
Random discrete 18
Random integer 39
Random joint 142
Random number generator 2
Random ordering 127
Random process 128
Random variable 1 18
Random variables, independence of 143
Random variables, mutual independence of 143
Random walk 471
Random walk in n dimensions 17
Random, functions of 210
RandomNumbers (program) 3
RandomPermutation (program) 82
Rank event 160
Raquetball 13
rat 440 453
Rayleigh density 215 295
Records 83 234
Records (program) 84
Regression on the mean 282
Regression to the mean 345 352
Regular Markov chain 433
Reliability of a system 154
Renyi, A. 167
Restricted choice, principle of 182
Return to the origin 472
Return to the origin, first 473
Return to the origin, last 482
Return to the origin, probability of eventual 475
Reversibility 463
reversion 352
Riffle shuffle 120
Riordan, J. 86
Rising sequence 120
Rnd 42
Roberts, F. 426
Rome 30
Ross, S. 270 276
Roulette 13 237 432
Run 229
Sagan, H. 237
Sample 333
Sample mean 265
Sample space 18
Sample space, continuous 58
Sample space, countably infinite 28
Sample space, infinite 28
Sample standard deviation 265
Sample variance 265
Sawyer, S. 412
Schuitz, H. 255
Seneta, E. 378 444
Service time, average 208
Shannon, C.E. 465
Sholander, M. 39
Shuffling 120
Shulitz, H. 256
SimulateChain (program) 439
Simulating a random variable 211
Snakeeyes 27
Snell, J.L. 87 175 406 466
Snowfall in Hanover 83
Spike graph 6
Spikegraph (program) 6
Spinner 41 55 59 162
SPREAD 266
St. Ives 84
St. Petersburg paradox 227
Standard deviation 257
Standard normal random variable 213
Standardized random variable 264
Standardized sum 326
State of a Markov chain 405
State, absorbing 416
State, transient 416
Statistics, applications of the Central Limit Theorem to 333
Stepping stones 412
SteppingStone (program) 412
Stick of unit length 73
Stifel, M. 110
Stingler, S. 350
Stirling's formula 81
Stirling, J. 88
StirlingApproximations (program) 81
Stock prices 241
StockSystem (program) 241
Strong Law of Large Numbers 70 314
Suit event 160
Sutherland, E. 182
t-density 360
Tartaglia, N. 110
Tax returns 196
Tea 252
Telephone books 256
Tennis 157 424
Tetrahedral numbers 108
Thackeray, W.M. 14
Thompson, G.L. 406
Thorp, E. 247 253
Time to absorption 419
Tippett, L.H.C. 10
Traits, independence of 216
Transient state 416
Transition matrix 406
Transition probability 406
Tree diagram 24 76
Tree diagram, infinite binary 69
Treize 85
Triangle, acute 73
Triangular numbers 108
Trout 198
True-false exam 267
Tunbridge 154
Tversky, A. 14 38
Two aces problem 181
Two-armed bandit 170
TwoArm (program) 171
Type 1 error 101
Type 2 error 101
Typesetter 189
Ulam, S. 11
Unbiased estimator 266
Uniform density 205
Uniform density function 60
Uniform distribution 25 183
Uniform random variables sum of two continuous 63
Unshuffle 122
Uspensky, J.B. 299
Utility function 227
Vanderbei, R. 175
Vandermonde determinant 369
Variance 257 271
Variance, calculation of 258
Variation distance 128
VariationList (program) 128
Volleyball 158
von Bortkiewicz, L. 201
von Mises, R. 87
von Neumann, J. 10 11
vos Savani, M. 40 86 136 176 181
Wall Street Journal 161
Watches, counterfeit 91
Watson, H.W. 378
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