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| Feller W. — Introduction to probability theory and its applications (volume 1) |
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| Предметный указатель |
States in a Markov chain classification 387
Stationary distributions of age 335 340
Stationary distributions of genotypes 135 (cf. “Invariant distributions and measures” “Steady
Stationary transition probabilities 420 445
Steady state cf. “Equilibrium macroscopic” “Invariant “Stationary
Steinhaus, H. 166
Sterilization laws 140
Stirling, J. 52
Stirling’s formula 52 66 180
Stochastic independence cf. “Independence”
Stochastic matrix 375
Stochastic matrix, doubly 399
Stochastic matrix, substochastic matrix 400
Stochastic process (term) 419 444ff.
Stochastic process general limit theorem 318
Stochastic process with independent increments 292 (cf. “Markov process”)
Stoneham, R.G. 32
Strategies in games 198 346
Stratification, urn models for 121
Stratified populations 117
Stratified sampling 240
Street crossing 170
Struggle for existence 450
Stuart, E.E. and Greenwood, J.A. 56 407
Substochastic matrix 400
Success runs as recurrent events 305 322ff. 339
Success runs of several kinds 326 339
Success runs r successes before s failures 197 210
Success runs, Markov chain for 383
Success runs, Poisson distribution for long 341
Successes 146
Successes, reduced number of 186
Succession, Laplace’s law of 124
Sukhatme, P.V. and Panse, V.G. 150
Sums of a random number of variables 286ff.
Superposition of Markov processes 422
Survival cf. “Extinction”
Swed, F.S. and Eisenhart, C. 42
Systems of gambling 198 346
Table tennis 167
Taboo states 409
Takacs, L. 69
Target shooting 10 169
Telephone holding times 458
Telephone traffic 161 282 293
Telephone trunking 191 460 481 “Queuing”)
Tests, statistical Galton’s rank order 69 94
Tests, statistical Kolmogorov — Smirnov tests 70
Tests, statistical of effectiveness 70 149—150
Tests, statistical of homogeneity 43 70
Tests, statistical of randomness 42 61
Tests, statistical, sequential 171
Tests, statistical, sequential, Special of blood 239
Tests, statistical, sequential, Special of clumsiness 56
Tests, statistical, sequential, Special of dice 148
Tests, statistical, sequential, Special of guessing abilities 107
Tests, statistical, sequential, Special of randomness of parking tickets 55
Tests, statistical, sequential, Special of sera and vaccines 150 (cf. “Estimation”)
Theta functions 370
Thorndike, F. 161
| Ties in billiards 284
Ties in games with several coins or dice 316 338
Time-homogeneous cf. “Stationary”
Todhunter, I. 378
Traffic of Poisson type 459
Traffic problems 170 422
Transient recurrent event 310
Transient state 388—390 399ff. 438
Transition probabilities in Markov chains 375 420
Transition probabilities in Markov chains higher 382
Transition probabilities in processes 445 470ff.
Trapping, animal 170 239 288 301
Trials (independent and repeated) 128ff.
Trials random variable representation 217ff.
Trinomial cf. “Multinomial”
Truncation method 247
Trunking problems 191 460 481
Turns in billiards 284
Turns, three players taking 18 24 118 141
Uhlenbeck, G.E. and Wang, M.C. 378
Unbiased estimator 242
Unessential states 389
Unfavorable “fair” games 249 262
Uniform distribution 237 285
Uniform measure 408
Union of events 16
Union of events, probability of 101
Urn models 188ff.
Urn models and Markov chains 373 (cf. “Bernoulli — Laplace” “Ehrenfest” “Friedman” “Laplace” “Polya”)
Vaccines, testing of 150
Variance 227ff.
Variance calculated from generating functions 266
Variance of normal distribution 179
Vaulot, E. 479
Volterra’s theory of struggle for existence 450
von Mises, R. relating to foundations 6 147 199 204
Waiting lines cf. “Queuing”
Waiting times, memoryless 328 458
Waiting times, residual 332 381
Waiting times, spent 382
Waiting times, spent for recurrent events 309 317 “First
Waiting times, spent in combinatorial problems 47
Wald, A. 171 248 344 363
Wald, A. and Wolfowitz, J. 43 194
Watson, G.S. 239
Waugh, W.A. O’N 367
Welders problems 149 467
Weldon’s dice data 148—149
Whipple, F.J.W. and McCrea, W.H. 360 362
Whitworth, W.A. 26 69
Wiener process 354
Wisniewski, T.K.M. 238
Wolfowitz, J. and Wald, A. 43 194
Words 129
Wright, S. 380
Wrong number, connections to 161
X-rays cf. “Irradiation”
Yule, G.U. (process) 450 478
“Favorable” cases 23 26
“Particle” in random walks 73 342
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