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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
Coins, transitive      45
Coins, unbiased      6; see Poisson flips
Colouring of graph      481
Colouring Poisson c. thm      287
Colouring sphere      24
Communicating states      223 297
Compensator      475
Competition lemma      291
Complement      2 564
Complete convergence      324
Complete probability space      15
Complex, pr.      388
Complex, r.v.      182 363 376
Compound, distns      125
Compound, immigration      277
Compound, Poisson distn      207
Compound, Poisson pr.      299
Compounding      153 161
Conditional, branching pr.      177 208 243 246
Conditional, c. property of Poisson pr.      277 286
Conditional, density      104 111
Conditional, distn      67 104
Conditional, entropy      303
Conditional, expectation      67 105 336 346 348
Conditional, independence      13 14 49
Conditional, mass fn      67
Conditional, probability      9 22
Conditional, probability mass fn      67
Conditional, s.r.w.      75
Conditional, variance      69
Conditional, Wiener process      371 535 536
Conditional, with respect to $\sigma$-field      346 473
Conductance bound      296
Congruential generator      122
Constant r.v.      29
Continuity      565
Continuity, distn fns      28 190
Continuity, marginals      102
Continuity, of expectation      179
Continuity, of probability measures      7 23
Continuity, of Wiener pr.      516 522 524
Continuity, sample paths      516 541 543
Continuity, thm      190
Continuous r.v.      33 89
Continuous r.v. examples      33 95
Continuous r.v. expectation      93
Continuous r.v. independence      99
Continuous r.v. jointly      40 99
Continuous r.v. limits of discrete r.v.      43 179
Continuous r.v. moments      94
Continuous-time martingale      501
Convergence      306 308 310
Convergence almost sure (a.s.)      308
Convergence bounded      180 229
Convergence c.f.      190
Convergence Cauchy      309 323
Convergence complete      324
Convergence dominated      180 317
Convergence in distn      190 193 308
Convergence in law      193 309
Convergence in mean      309
Convergence in mean square      309
Convergence in measure      306
Convergence in norm      306
Convergence in probability      308
Convergence in rth mean      308
Convergence in total variation      318
Convergence martingale      338 481 498 502
Convergence moments      353
Convergence monotone      179
Convergence pointwise      306
Convergence radius of      150
Convergence weak      193 309 316
Convex, fn      181 475
Convex, rock      147
Convolution      70 415
Convolution c. thm      567
Convolution sequences      70 149
Convolution, integral      114
Convolution, Laplace      182
Corn Flakes      8 22
Correlation coefficient      64
Correlation coefficient, bivariate normal distn      101
Correlation coefficient, countably additive      5 23
Correlation coefficient, counters      423
Correlation coefficient, dead period      423 437
Correlation coefficient, Geiger      246 423
Correlation coefficient, type 2      438
Correlation coefficient, types      423
Counting process      365
Coupling      127 133
Coupling birth-death pr.      303
Coupling game      235
Coupling Markov chains      233
Coupling maximal      133 356
Coupling Poisson      129
Coupling renewal pr.      160 429
coupons      55 162 210
Covariance      64
Covariance bivariate normal distn      101
Covariance complex r.v.      376
Covariance matrix      85 117
Covariance Poisson pr.      355
Covariance stationary      361
Cox process      299
Criterion, Kolmogorov      239
Criterion, non-nullity      227
Criterion, persistence      231 237
Criterion, transience      230
Critical branching process      245
Crofton's method      135
Crudely stationary      365
Cubic lattice      514 560
Cumulants      185
Cups and saucers      8
Current life      366 421
Current life, Markov      423
Customer, arriving      451
Customer, departing      445 467
Customer, difficult      468
Customer, invisible      463
Customer, lucky      460
CYCLE      434
Dam      42 236
Darts      35
De Moivre - Laplace theorem      96 195
De Moivre, de M. thm      148
De Moivre, martingale      472 483 486 492
De Moivre, trial      62
De Morgan laws      4
Dead period      423 437
Death pr., birth      269
Death pr., birth-immigration      276
Death pr., immigration      270
Decimal expansion      47 305 354
Decomposition, Cholesky      147
Decomposition, Doob      474
Decomposition, Krickeberg      510
Decomposition, Markov chain      224
Decreasing $\sigma$-fields      499
Defective distn      154
Degradation of polymer      275
Degrees of freedom      97
Delayed renewal      366 427 438
density      33 89
Density, Arc sine      80 127
Density, beta      97
Density, bivariate normal      100 111
Density, Cauchy      97 385
Density, chi-squared      97
Density, conditional      104 111
Density, Dirichlet      87 147
Density, exponential      95
Density, extreme value      145
Density, F(r,s)      121
Density, first passage      200 526
Density, Fisher's spherical      144
Density, gamma      96
Density, Gaussian      95
Density, joint      40 98
Density, log-normal      97 211
Density, marginal      99
Density, maximum      355
Density, maximum of Wiener pr.      526
Density, multinormal      117
Density, normal      95
Density, pectral      382
Density, standard density, normal      96
Density, Student's t      121
Density, uniform      95
Density, Weibull      97
Departure pr.      445 467
Derangement      60
Derivative      548
Detailed balance      238 293
Diagonal, d. form      116
Diagonal, d. selection      234 236
Diagonal, Jordan form      241
Dice      14 49 55
Dice weighted or loaded      44 210
Difference eqn      17 23 60 74 75 567
Differences      564
Differences martingale      476
Differential-difference eqns      248
Difficult customers      468
Diffusion      516 544
Diffusion, absorbing barrier      531
Diffusion, approximation for branching pr.      520
Diffusion, Bessel pr.      512 525
Diffusion, branching      521
Diffusion, Ehrenfest model      238 239 302
Diffusion, first passage      526 529
Diffusion, forward and backward eqns      519
Diffusion, geometric      528
Diffusion, Ito process      544
Diffusion, maximum      526 529
Diffusion, models      59 238 298 302
Diffusion, Ornstein - Uhlenbeck pr.      407 515 537 539
Diffusion, osmosis      302
Diffusion, potential theory      555
Diffusion, reflecting barrier      533
Diffusion, regular      531
Diffusion, stopping time      526 529
Diffusion, Wiener pr.      516 519
Diffusion, zeros      527 528
Diligent pupil      39
Dimer problem      87
Dirac delta function      564
Dirichlet distn      87 147
Disasters      281 300
Discontinuous marginal      102
Discounting      549
Discrete r.v.      33
Discrete r.v. independent of      48 53 63 154
Discrete r.v. sum of      70 153
Dishonest, birth pr.      252 267
Dishonest, branching pr.      273
Disjoint events      2 5
Distance preserving      389
Distribution, ancillary      203
Distribution, arc sine      80 127
Distribution, arithmetic      192 417
Distribution, atomic      33
Distribution, Benford      66
Distribution, Bernoulli      29 60
Distribution, Beta      97
Distribution, beta-binomial      107
Distribution, binomial      47 60
Distribution, bivariate normal      100 111
Distribution, c.f.      182
Distribution, Cauchy      97 385
Distribution, chi-squared      97
Distribution, compound      125
Distribution, conditional      67 104
Distribution, convergence      308
Distribution, current life      421 422
Distribution, defective      154
Distribution, Dirichlet      87 147
Distribution, empirical      411
Distribution, excess life      421
Distribution, expectation      50 93
Distribution, exponential      9
Distribution, F(r,s)      121
Distribution, finite-dimensional      360 371
Distribution, first passage      200 526
Distribution, function      27
Distribution, gamma      96
Distribution, Gaussian      95
Distribution, geometric      61
Distribution, hypergeometric      84
Distribution, hypoexponential      115
Distribution, indicator      29
Distribution, infinitely divisible      207 208
Distribution, inverse square      47 54
Distribution, joint      39 63 98
Distribution, lattice      185
Distribution, log-normal      97 211
Distribution, logarithmic      47 161
Distribution, marginal      39 99
Distribution, maximum      355
Distribution, mixed      125
Distribution, modified Poisson      47
Distribution, moments      51 94
Distribution, multinomial      62
Distribution, multinormal      117
Distribution, negative binomial      61
Distribution, normal      95
Distribution, Poisson      47
Distribution, spectral      382
Distribution, standard normal      96
Distribution, stationary      227
Distribution, Student's t      121
Distribution, tails      30
Distribution, target      293
Distribution, tilted      186 203
Distribution, trinomial      40 60
Distribution, trivariate normal      119
Distribution, uniform      95
Distribution, variance      51 94
Distribution, waiting time      61 95
Distribution, Weibull      97
Distribution, zeta/Zipf      83
DNA fingerprinting      85
Dobrushin, bound, ergodic coefficient      296
Dog-flea model      238 239 302
Dominated convergence      180 317
Doob - Kolmogorov inequality      338 342 497
Doob's, $L_{2}$ inequality      539
Doob's, convergence theorem      481
Doob's, decomposition      474
Doob's, martingale      347 484
Doubly stochastic, matrix      220 297
Doubly stochastic, Poisson pr.      299
Downcrossings inequality      486
Drift      519
Drift of Ornstein - Uhlenbeck pr.      520
Drift of Wiener pr.      520 528 532 533 550 551
Drift weight      207
Drug      19
Drunken walker      71
1 2 3 4 5 6 7 8
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