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Grinstead C.M., Snell J.L. — Introduction to Probability
Grinstead C.M., Snell J.L. — Introduction to Probability

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Название: Introduction to Probability

Авторы: Grinstead C.M., Snell J.L.

Аннотация:

This text is designed for an introductory probability course at the university level for sophomores, juniors, and seniors in mathematics, physical and social sciences, engineering, and computer science. It presents a thorough treatment of ideas and techniques necessary for a firm understanding of the subject.
The text is also recommended for use in discrete probability courses. The material is organized so that the discrete and continuous probability discussions are presented in a separate, but parallel, manner. This organization does not emphasize an overly rigorous or formal view of probability and therefore offers some strong pedagogical value. Hence, the discrete discussions can sometimes serve to motivate the more abstract continuous probability discussions.


Язык: en

Рубрика: Математика/Вероятность/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 510

Добавлена в каталог: 22.10.2004

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\pi$, estimation of      43—46
Absorbing Markov chain      415
Absorbing state      416
AbsorbingChain (program)      421
Absorption probabilities      420
Ace, Mr.      241
Ali      178
Alleles      348
AllPermutations (program)      84
Anderson, C.L.      157
Annuity      246
Annuity, life      247
Annuity, terminal      247
arc sine laws      493
Area, estimation of      42
Areabargraph (program)      46
Asymptotically equal      81
Baba      178
Babies      14 250
Banach's Matchbox      255
Bar-Hiller, M.      176
Barnart, R.      11
Barnes, B.      175
Bayer, D.      120
Bayes (program)      147
Bayes probability      136
Bayes' formula      146
Bayes, T.      149
Beard      153
Bell-shaped      47
Benford distribution      195
Benkoski, S.      40
Bernoulli trials process      96
Bernoulli, D.      227
Bernoulli, J.      113 149 310—312
Bertrand's paradox      47—50
Bertrand, J.      49 181
BertrandsParadox (program)      49
Beta density      168
Bienayme, I.      310 378
Biggs, N.L.      85
Binary expansion      69
Binomial approximating      329
Binomial coefficient      93
Binomial distribution      99 184
Binomial theorem      103
BinomialPlot (program)      99
BinomialProbabilities (program)      98
Birthday (program)      78
Birthday problem      77
Blackjack      247 253
Blood test      254
Bose — Einstein statistics      107
Box paradox      181
Box, G.E.P.      213
Boxcars      27
Brams, S.      179 182
Branch (program)      382
Branching customer      394
Branching process      377
BranchingSimulation (program)      388
Bridge      181 182 199 203 287
Brown, B.H.      38
Brown, E.      425
Buffon's needle      44—46 51—53
Buffon, G.L.      9 44 50—51
BuffonsNeedle (program)      45
Bus paradox      164
calendar      38
Cancer      147
Canonical form of an absorbing Markov chain      417
CAR      137
Cardano, G.      30—31 110 249
Cars on a highway      66
Casanova, G.      11
Cauchy density      218 401
cells      347
Central limit theorem      325
Central Limit Theorem, for Bernoulli Trials      330
Central Limit Theorem, for Binomial Distributions      328
Central Limit Theorem, for continuous independent trials process      358
Central Limit Theorem, for discrete independent random variables      345
Central Limit Theorem, for discrete independent trials process      343
Central Limit Theorem, for Markov Chains      464
Central Limit Theorem, proof of      398
Chain letter      389
Characteristic function      398
Chebyshev inequality      305 316
Chebyshev, P.L.      313
Chi-squared density      216 296
Chicago World's Fair      52
Chord, random      47 54
Chromosomes      348
Chu, S.-C.      110
Chung, K.L.      153
Circle of Gold      389
Clinton, B.      196
Clover-leaf interchange      39
CLTBernoulliGlobal      332
CLTBernoulliLocal (program)      329
CLTBernoulliPlot (program)      327
CLTGeneral (program)      345
CLTIndTrialsLocal (program)      342
CLTIndTrialsPlot (program)      341
Coates, R.M.      305
CoinTosses (program)      3
Collins, People v.      153 202
Color-blindness      424
Conditional density      162
Conditional distribution      134
Conditional expectation      239
Conditional probability      133
Condorcet, Le Marquis de      12
Confidence interval      334 360
Conjunction fallacy      38
Continuum      41
Convolution      286 291
Convolution of binomial distributions      289
Convolution of Cauchy densities      294
Convolution of exponential densities      292 300
Convolution of geometric distributions      289
Convolution of normal densities      294
Convolution of standard normal densities      299
Convolution of uniform densities      292 299
Conway, J.      432
Cramer, G.      227
Craps      235 240 468
Craps (program)      235
Crossen, C.      161
Crowell, R.      468
Cumulative distribution function      61
Cumulative joint      165
Customer branching process      394
Cut      120
Dartmouth      27
Darts      56 57 59 60 64 71 163 164
Darts (program)      58
David, F.N.      32 86 337 489
de Mere, Chevalier      4 31 37
de Moivre, A.      37 88 148 336 489
de Montmort, P.R.      85
Degrees of freedom      217
DeMere1 (program)      4
DeMere2 (program)      4
Density function      56 59
Density, beta      168
Density, Cauchy      218 401
Density, chi-squared      216 296
Density, conditional      162
Density, exponential      53 66 163 205
Density, gamma      207
Density, joint      165
Density, log normal      224
Density, Maxwell      215
Density, normal      212
Density, Rayleigh      215 295
Density, t-      360
Density, uniform      60 205
Derangement      85
Diaconis, P.      120 251
Die (program)      225
Die Test (program)      297
Distribution function      1 19
Distribution, Benford      195
Distribution, binomial      184
Distribution, geometric      184
Distribution, hypergeometric      193
Distribution, joint      142
Distribution, marginal      143
Distribution, negative binomial      186
Distribution, Poisson      187
Distribution, properties of      22
Distribution, uniform      183
DNA      348
Doeblin, W.      449
Doyle, P.G.      87 470
Drunkard's Walk example      416 419—421 423 427 443
Dry Gulch      279
Edwards, A.W.F.      108
Eexistence of God      245
Egypt      30
Ehrenfest model      410 433 441 460 461
Ehrenfest, P.      410
Ehrenfest, T.      410
EhrenfestUrn (program)      462
Eisenberg, B.      160
Elevator      89 116
Emile's restaurant      75
Engle, A.      445
Envelopes      179 180
Epstein, R.      287
Equalization      472
Equalizations, expected number of      479
Ergodic Markov chain      433
ESP      250 251
Euclid      85
Euler's formula      202
Eulerian number      127
Event      18
Events, attraction of      160
Events, independent      139 164
Events, repulsion of      160
Expected value      226 268
Exponential density      53 66 163 205
Extinction, problem of      379
Factorial      80
Fair game      241
Falk, R.      161 176
Fall      131
Fallacy      38
Feller, W.      11 106 107 191 201 218 254 344
Fermat, P.      4 32—35 112—113 156
Fermi — Dirac statistics      107
Figurate numbers      108
Financial records suspicious      196
Finite additivity property      23
Finn, J.      178
First Fundamental Mystery of Probability      232
First maximum of a random walk      496
First return to the origin      473
Fisher's Exact Test      193
Fisher, R.A.      252
Fixed column vector      435
Fixed points      82
Fixed row vector      435
FixedPoints (program)      82
FixedVector (program)      437
Flying bombs      191 201
Fourier transform      398
Frechet, M.      466
Frequency concept of probability      70
Frustration solitaire      86
Fundamental Limit Theorem for Regular Markov Chains      448
Fundamental matrix      419
Fundamental matrix, for a regular Markov chain      457
Fundamental matrix, for an ergodic Markov chain      458
Galambos, J.      303
Galileo, G.      12
Gallup Poll      14 336
Galton board      99 351
Galton, F.      281 345 350 377
GaltonBoard (program)      99
Gambler's ruin      426 486 487
Gambling systems      241
Gamma density      207
Gardner, M.      181
Gas diffusion, Ehrenfest model of      410 433 441 460 461
Geller, S.      176
GeneralSimulation (program)      9
Generating function for continuous density      394
Generating function, moment      366 395
Generating function. ordinary      370
Genes      348 411
Genetics      345
Genotypes      348
Geometric distribution      184
Geometric series      29
Ghosh, B.K.      160
Goat      137
Gonshor, H.      425
Gosset, W.S.      360
Grade point average      343
Graham, R.      251
Granberg, D.      161
Graunt, J.      246
Greece      30
Gridgeman, N.T.      51 181
Grinstead, C.M.      87
Gudder, S.      160
Hacking, I.      30 148
Hamming, R.W.      283 284
Hanes data      345
Hangtown      279
Hanover Inn      65
Hard drive, Warp      9 66
Hardy — Weinberg law      349
Harmonic function      428
Harvard      27
Hat check problem      82 85 105
Heights, distribution of      345
Helium      107
Heyde, C.      378
Hill, T.      196
Holmes, Sherlock      91
HorseRace (program)      6
Hospital      14 250
Howard, R.A.      406
HTSimulation (program)      6
Hudde, J.      148
Huizinga, F.      389
Huygens, C.      147 243—245
Hypergeometric distribution      193
Hypotheses      145
Hypothesis testing      101
Inclusion-Exclusion Principle      104
Independence of events      139 164
Independence of random variables      143 165
Independence of random variables mutual      143 165
Independence, mutual      141
Independent trials process      144 168
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