Loeve M. — Probability Theory (part 2) :: Электронная библиотека попечительского совета мехмата МГУ

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Loeve M. — Probability Theory (part 2)

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Название: Probability Theory (part 2)

Автор: Loeve M.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1977

Количество страниц: 413

Добавлена в каталог: 19.05.2006

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

Предметный указатель

Subspace, proper      98
Subspace, topological      66
Sufficient $\sigma$ -field      11
Sufficient $\sigma$ -field, minimal      13
Sums of sets      4 51
Superior limit      58
Supermartingale      195
Supremum      56} 103
Sure event      14 151
Sure, almost      151
Symmetrization      257
Symmetrization inequalities      259
Symmetrization inequalities, weak      257
Tail $\sigma$ -field      241
Tail equivalence      245
Tail event      241
Tail function      241
Tail of a sequence      241
Tanaka      388
Tchebichev      409
Tchebichev inequality      11 60
Tchebichev theorem      287
Three-parts decomposition theorem      216
Three-series criterion      249
Tight(ness)      194
Tight(ness) and relative compactness      195
Tight(ness) lemma      194
Tight(ness) theorem      194
Tight(ness), criterion (in C)      267
Time(s), -      191
Time(s), -      376
Time(s), -      189
Time(s), -, elementary properties of      190
Time(s), -      306
Time(s), (fitst)hitting      256 396
Time(s), Brownian      254
Time(s), degenerate      376 189
Time(s), elementary      190 308
Time(s), fiest exit      255
Time(s), jump      369
Time(s), Markov      307
Time(s), Markov, stationary      307
Time(s), martingale      200
Time(s), maxima, and positive sums identities      391
Time(s), maximum, and value identity      393
Time(s), random      376 188 305
Time(s), random—identities      390
Time(s), random—translations      376
Time(s), stopping      208
Time-continuous transition probabilities      310
Toeplitz lemma      250
Topological space      66
Topological subspace      66
Topology, metric      73
Topology, reduced      66
Total(ly) bounded set      75
Total(ly) probability rule      24
Total(ly) variation      87
Trajectories      166
Transformation (s), proper subspace of      108
Transformation (s), proper value of      108
Transformation (s), quasi-strongly compact      107 110
Transformation (s), quasi-weakly compact      107 110
Transition law derivatives      299
Transition law derivatives, existence criterion      299
Transition law derivatives, theorem      300
Transition operators      295
Transition operators, stationary      302
Transition probability(ties)      29 31 32 90 295
Transition probability(ties), differentiation theorem      317
Transition probability(ties), differentiation theorem, extended      319 320
Transition probability(ties), invariant, theorem      91
Transition probability(ties), singular vanishing, theorem      94
Transition probability(ties), singular, lemma      93
Transition probability(ties), stationary      302
Transition probability(ties), time-continuous      310
Translate(s)      79 301

Translation(s)      376 71 96
Translation(s), extension of      97
Translation(s), invariance under      79
Translation(s), null-preserving      101 106
Translation(s), random times      376
Trial(s), deterministic      5
Trial(s), identical      5 6
Trial(s), independent      5 6
Trial(s), random      6
Trial(s), repeated      5 6
Triangle property      73
Triangular characteristic function      386
Triangular probability density      386
Truncation inequalities for characteristic functions      209
Truncation of random variables      244
Tucker      410
Tukey      410
Tulcea      138 408
Two-series criterion      251
Type(s)      215
Type(s), convergence of      216
Type(s), degenerate      215 282
Type(s), normal      282
Type(s), Poisson      282
Ueno      384
Ugakawa      102
Unconditional centering      215
Unconditional convergence      215
Unicity lemma, $\Phi$ -weak      341
Unicity theorem, $\Phi$ -weak      342
Uniform continuity      77
Uniform continuity and differentiation lemma      339
Uniform continuity condition      317
Uniform continuity lemma      180
Uniform continuity state sets      314
Uniform convergence      114
Uniform convergence theorem      204
Uniform ergodic theorem      113
Uniform, asymptotic negligibility      302 314
union      4 56
Upper class      272
Upper variation      87
Urysohn      78
Uspensky      407
Value(s), possible      370
Value(s), possible, theorem      371
Variable, random      6 9 17 152
Variance(s)      12 244
Variance(s), case of bounded      302
Variance(s), case of bounded—limit theorem      305
Variation of truncated moments      359
Variation, lower      87
Variation, regular      354
Variation, slow      354
Variation, total      87
Variation, upper      87
Vector, random      152' 155
Ville      54 384
Wald's relation(s)      377 397 257
Wax      236 386
Weak closure      107
Weak compactness      110
Weak compactness theorem      181
Weak convergence      180 106
Weak equivalence      39
Weak equivalence criterion      40
Weak stability      350 353
Weak symmetrization inequalities      257
Weierstrass theorem      51
Wendel      405 412
Wiener      212 237 387
Wold      384
Yosida      106 288 344
Yushkevitch      289 310 357 388 389
Zero-one criterion, Borel      24
Zero-one law, Hewitt — Savage      374
Zero-one law, Kolmogorov      241
Zygmund      408 237

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