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Grimmett G., Stirzaker D. — Probability and Random Processes
Grimmett G., Stirzaker D. — Probability and Random Processes



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Название: Probability and Random Processes

Авторы: Grimmett G., Stirzaker D.

Аннотация:

The volume will be useful to all those teachers of probability and random processes who set work assignments and examinations.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 3rd Edition

Год издания: 2001

Количество страниц: 608

Добавлена в каталог: 05.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Matching      56 60 85 156 158 162 512
Matrix, covariance      85 117
Matrix, doubly stochastic      220 297
Matrix, multiplication      147
Matrix, proposal      293
Matrix, stochastic      215
Matrix, sub-stochastic      220
Matrix, transition      214
Matrix, tridiagonal      238 269
Maximal, coupling      133 356
Maximal, inequality      489 490 496
Maximum of, drifting Wiener pr.      529
Maximum of, r.w.      78 83 167 170 219
Maximum of, uniforms      210
Maximum of, Wiener pr.      526 529 562
Maximum principle      559
Maximum r.v.      355
Mean      50
Mean, Bernoulli      52
Mean, binomial      52
Mean, branching pr.      172 177
Mean, Cauchy      97
Mean, continuous r.v.      93
Mean, convergence      309
Mean, discrete r.v.      51
Mean, exponential      95
Mean, extreme value      209
Mean, first passage      226
Mean, geometric distn      61
Mean, hypergeometric      152
Mean, indicator function      56
Mean, landlord      424
Mean, measure      282
Mean, negative binomial      61 206
Mean, normal      96
Mean, Poisson      61
Mean, recurrence time      222 265 433
Mean, waiting time      455 468 469
Mean-square convergence      309
Mean-square convergence, Cauchy      355
Measurable, $\mathcal{F}$      27 92
Measurable, Borel      92
Measurable, process      539
Measurable, r.v.      27
Measure, alternative      549
Measure, Borel      90
Measure, change of      549
Measure, convergence in      306
Measure, ergodic      399
Measure, Lebesgue      281 300 315 507
Measure, mean      282
Measure, preserving      398
Measure, probability      5
Measure, product      15 399
Measure, stationary      398
Measure, strongly mixing      410
Median      44 94
Melodrama      56
Mercator projection      291
Meteorites      159 291 409
Metric      44
Metric, L$\acute{e}$vy      44 308 318
Metric, total variation      44 128
Metropolis algorithm      293 294
Migration pr.      463
Migration pr., closed m.p. in equilibrium      464
Migration pr., departures from      467
Migration pr., open m.p. in equilibrium      466 467 468
Migration pr., reversal of      467
Mills's ratio      98
Minimal m. pr.      262
Minimal solution      251 265
Minkowski's inequality      143 319
Misprints      236
Mixing      294
Mixing, strong      410
Mixture      125
Modified renewal pr.      366 427 438
Moments      51 94
Moments of branching pr.      172
Moments, c.f.      183 184
Moments, central      51
Moments, convergence of      353
Moments, Factorial      151
Moments, fractional      55 94
Moments, joint      209
Moments, m. generating fn      152 181
Moments, problem      184 211
Moments, renewal pr.      416 437 438
Monotone convergence      179
Monte Carlo      42 100 141 292
Monty Hall      12
Moscow      468
Moving average pr.      364 373 377 393 409
Moving average pr., spectral density of      409
Multinomial distn      62
Multinomial distn, marginals      66
Multinomial distn, p.g.f.      155
Multinormal distn      117 370
Multinormal distn, c.f.      187 188
Multinormal distn, covariance matrix      117 188
Multinormal distn, mean      117
Multinormal distn, sampling from      147
Multinormal distn, singular      118
Multinormal distn, standard      118
Multinormal distn, transformed      117
Murphy's Law      8
Mutual information      66
Needle, Buffon's      100 103 104 143 144 305
Negative binomial distn      61
Negative binomial distn, bivariate      208
Negative binomial distn, moments      61
Negative binomial distn, p.g.f.      155 206
Negative binomial distn, sampling from      123
Negative hypergeometric distn      62 125
Newton, I.      71 554
No arbitrage      551
Non-central distns      185
Non-homogeneous, birth pr.      300
Non-homogeneous, birth-death pr.      274
Non-homogeneous, Poisson pr.      282 291 299
Non-linear, birth pr., epidemic      276
Non-null state      222
Noodle, Buffon's      143
Norm      306 540
Norm of complex r.v.      389
Norm, $L_{2}$      343
Norm, $L_{p}$      343
Norm, convergence in      306
Norm, equivalence class      540
Normal distn      95 140
Normal distn, bivariate      100 106 111 112 114 118 141 349
Normal distn, c.f.      187
Normal distn, central limit theory      194 200
Normal distn, correlation      101
Normal distn, covariance      101
Normal distn, linear transformation      117 118
Normal distn, Mills's ratio      98
Normal distn, moments      96
Normal distn, multivariate      117
Normal distn, sample      119 122 211
Normal distn, sampling from      126 146
Normal distn, square      107
Normal distn, standard      96
Normal distn, sum of      114
Normal distn, sum of squares      141 193
Normal distn, trivariate      119
Normal distn, uncorrelated      101
Normal number theorem      410
Null, event      7 15 539
Null, state      222
O/o notation      566
Occupancy      158
Ohm's law      559
Olbers's paradox      290
Open migration pr.      466
Optimal stopping, dice      55
Optimal stopping, marriage      144
Optimal, packing      477 481
Optimal, replacement      433
Optimal, reset time      563
Optional stopping      488 491 502 503
Optional stopping, diffusion      529
Optional stopping, martingale      491 502
Optional, sampling      489
Optional, skipping      503
Optional, starting      504
Optional, switching      488
Order statistics      142
Order statistics, exponential      144
Order statistics, general      144
Order statistics, Poisson pr.      277
Order statistics, uniform      142 144 302
Ornstein - Uhlenbeck pr.      407 515 537 539
Ornstein - Uhlenbeck pr., drift      520
Ornstein - Uhlenbeck pr., reflected      561
Orthogonal, complex-valued r.v.s      376
Orthogonal, increments      387 388 539
Orthogonal, polynomials      144
Osmosis      302
Outcome      1
P$\acute{o}$lya's urn      358 510
P.g.f.      154 155
Pairwise independent, events      13 14
Pairwise independent, r.v.s      49
Paradox, Bertrand      133 141
Paradox, Borel      106
Paradox, Carroll      12
Paradox, Galton      14
Paradox, inspection      421 437
Paradox, Olbers      290
Paradox, Parrando      303
Paradox, prisoners      11
Paradox, Simpson      19
Paradox, St Petersburg      55
Paradox, voter      66
Paradox, waiting time      421
Parallel lines      146
Parallelogram      147
Parallelogram property      307
Parallelogram rule      344
Parking      143
Parrando's paradox      303
Partial balance      464 466
Partition, event      337
Partition, function      292
Partition, sample space      10 22
Partition, state space      224
Pasta property      264
Path of r.w.      72 76
Patterns      162 206 439 511
Pawns      45
Pearson, K.      71
Pepys's problem      71
Periodic state      222
Perron - Frobenius thm      240 295
Persistent, chain      225
Persistent, r.w.      163 197 207 559
Persistent, state      220 263
Persistent, Wiener pr.      557
Pig      23
Point mass      34 50
Points, problem of      75 86 156
Pointwise convergence      306
Poisson distn      47 61
Poisson distn and gamma distn      141
Poisson distn, compound      207
Poisson distn, limit of binomial distn      61 130 210
Poisson distn, m.g.f.      152
Poisson distn, modified      47
Poisson distn, moments      61
Poisson distn, p.g.f.      151
Poisson distn, sum of      84 150 318
Poisson distn, truncated      452
Poisson pr.      247
Poisson pr., age      421
Poisson pr., characterization of      410 501
Poisson pr., colouring thm      287
Poisson pr., compound P.      299
Poisson pr., conditional property      277 286
Poisson pr., continuity in m.s.      355
Poisson pr., covariance      355
Poisson pr., differentiability      355
Poisson pr., doubly stochastic      299
Poisson pr., excess life      255
Poisson pr., forest      301
Poisson pr., gaps      369
Poisson pr., intensity fn      282
Poisson pr., mapping thm      284
Poisson pr., Markov renewal pr.      416
Poisson pr., martingales      501
Poisson pr., mean measure      282
Poisson pr., non-homogeneous      282 291 299 374
Poisson pr., p. dice      25
Poisson pr., p.g.f.      248
Poisson pr., perturbed      302
Poisson pr., poker      24 25
Poisson pr., R$\acute{e}$nyi's thm      288
Poisson pr., renewal      366 416
Poisson pr., sampling      264
Poisson pr., spatial      282
Poisson pr., superposed      255 283
Poisson pr., thinned      255
Poisson pr., total life      437
Poisson pr., traffic      302 304 369
Poisson, approximation      87
Poisson, convergence      128
Poisson, coupling      129
Poisson, flips      48 62 208 210
Poisson, traffic      302 304 369
Polymer      275
Portfolio      548 554
Portfolio replicating      549 553
Portfolio self-financing      549
Positive definite      116 118 408
Positive state      see Non-null
Postage stamp lemma      226
Posterior distn      292
Potential theory, diffusion      555
Potential theory, r.w.      559
Power, series      150
Power, series approximation      356
Power, set      3
Pratt's lemma      354
Predictable, sequence      474
Predictable, step fn      540 542 544
Predictor, best      343 346
Predictor, linear      378
Predictor, minimum m.s.      343
Prior distn      292
Prisoners' paradox      11
Probabilistic method      24 59
Probability, $\sigma$-additivity      5
Probability, conditional      9
Probability, continuity of p. measure      7
Probability, convergence      7 308
Probability, extinction of branching pr.      173
Probability, p. density fn      33 89
Probability, p. distn fn      27
Probability, p. mass fn      46
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