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Feller W. — Introduction to probability theory and its applications (volume 1)
Feller W. — Introduction to probability theory and its applications (volume 1)



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Название: Introduction to probability theory and its applications (volume 1)

Автор: Feller W.

Аннотация:

Major changes in this edition include the substitution of probabilistic arguments for combinatorial artifices, and the addition of new sections on branching processes, Markov chains, and the De Moivre-Laplace theorem.


Язык: en

Рубрика: Математика/Вероятность/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: third edition

Год издания: 1967

Количество страниц: 509

Добавлена в каталог: 29.05.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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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