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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
Interarrival time, average      208
Interleaving      120
Irreducible Markov chain      433
Isle Royale      202
Jaynes, E.T.      49
Johnsonbough, R.      153
Joint cumulative distribution function      165
Joint density function      165
Joint distribution function      142
Joint random variable      142
Kahneman, D.      38
Kemeny's constant      469 470
Kemeny, J.G.      200 406 466
Kendall, D.G.      378
Keyfitz, N.      383
Kilgour, D.M.      179 182
Kingston, J.G.      157
Konold, C.      161
Kozelka, R.M.      344
Labouchere betting system      12 13
Labouchere, H. du P.      12
Lamperti, J.      267 324
Laplace, P.S.      51 53 350
Last return to the origin      482
Law (program)      310
Law of Averages      70
Law of Large Numbers      307 316
Law of Large Numbers, for Ergodic Markov Chains      439
Law of Large Numbers, strong      70
LawContinuous (program)      318
Lead change      482
Leonard, B.      256
Leontief, W.W.      426
Levasseur, K.      485
Library problem      82
Life table      39
Light bulb      66 72 172
Linda problem      38
Lindeberg, J.W.      344
Lipson, A.      161
Little's law for queues      276
Lockhorn, Mr. and Mrs.      65
Log normal density      224
Lottery Powerball      204
Lucas, E.      119
Maistrov, L.      150 310
Mann, B.      120
Margin of error      335
Marginal distribution function      143
Markov chain      405
Markov chain, absorbing      415
Markov chain, ergodic      433
Markov chain, irreducible      433
Markov chain, regular      433
Markov Chains, Central Limit Theorem for      464
Markov Chains, Fundamental Limit Theorem for Regular      448
Markov, A.A.      464
Martingale      241 242 428
Martingale betting system      11 14 248
Martingale origin of word      11
Matrix, fundamental      419
MatrixPowers (program)      407
Maximum, likelihood estimate      198 202
Maximum, Likelihood Principle      91 117
Maxwell density      215
Maze      440 453
McCracken, D.      10
Mean      226
Mean first passage matrix      455
Mean first passage time      452
Mean recurrence matrix      455
Mean recurrence time      454
Memoryless property      68 164 206
Milk      252
Modular arithmetic      10
Moment generating function      366 395
Moment problem      368 398
Moments      365 394
Monopoly      469
MonteCarlo (program)      42
Monty Hall problem      136 161
Moose      202
Mortality table      246
Mule kicks      201
Muller, M.E.      213
Multiple-gene hypothesis      348
Mustache      153
Mutually independent events      141
Mutually independent random variables      143
n!      80
Negative binomial distribution      186
New York Times      340
New York Yankees      118 253
New-Age Solitaire      130
Newcomb, S.      196
NFoldConvolution (program)      287
Nigrini, M.      196
Normal density      47 212
NormalArea (program)      322
Nursery rhyme      84
Odds      27
Ordering, random      127
Ordinary generating function      370
Ore, O.      30 31
Outcome      18
Oz, Land of      406 439
Pascal's triangle      94 103 108
Pascal, B.      4 32—35 107 112—113 156 242 245
Paternity suit      222
Pearson, K.      9 351
Penney, W.      432
People v. Collins      153 202
Perlman, M.D.      45
Permutation      79
Permutation, fixed points of      82
Philadelphia 76ers      15
photons      106
Pickwick, Mr.      153
Pilsdorff Beer Company      279
Pittel, B.      256
Point count      287
Poisson approximation to the binomial distribution      189
Poisson distribution      187
Poisson distribution, variance of      262
Poker      95
Polls      333
Polya urn model      152 174
Ponytail      153
Posterior probabilities      145
Powerball lottery      204
PowerCurve (program)      102
Presidential election      336
Price, C.      86
Prior probabilities      145
Probability of an event      19
Probability transition      406
Probability vector      407
Probability, Bayes      136
Probability, conditional      133
Probability, frequency concept of      2
Problem of points      32 112 147 156
Process, random      128
Propp, J.      256
Prosser, R.      200
Protons      106
Quadratic equation, roots of      73
quantum mechanics      107
Quetelet, A.      350
Queue (program)      208
Queues      186 208 275
Quincunx      351
Rabelais, F.      12
Racquetball      157
Radioactive isotope      66 71
Rand Corporation      10
Random continuous      58
Random discrete      18
Random integer      39
Random joint      142
Random number generator      2
Random ordering      127
Random process      128
Random variable      1 18
Random variables, independence of      143
Random variables, mutual independence of      143
Random walk      471
Random walk in n dimensions      17
Random, functions of      210
RandomNumbers (program)      3
RandomPermutation (program)      82
Rank event      160
Raquetball      13
rat      440 453
Rayleigh density      215 295
Records      83 234
Records (program)      84
Regression on the mean      282
Regression to the mean      345 352
Regular Markov chain      433
Reliability of a system      154
Renyi, A.      167
Restricted choice, principle of      182
Return to the origin      472
Return to the origin, first      473
Return to the origin, last      482
Return to the origin, probability of eventual      475
Reversibility      463
reversion      352
Riffle shuffle      120
Riordan, J.      86
Rising sequence      120
Rnd      42
Roberts, F.      426
Rome      30
Ross, S.      270 276
Roulette      13 237 432
Run      229
Sagan, H.      237
Sample      333
Sample mean      265
Sample space      18
Sample space, continuous      58
Sample space, countably infinite      28
Sample space, infinite      28
Sample standard deviation      265
Sample variance      265
Sawyer, S.      412
Schuitz, H.      255
Seneta, E.      378 444
Service time, average      208
Shannon, C.E.      465
Sholander, M.      39
Shuffling      120
Shulitz, H.      256
SimulateChain (program)      439
Simulating a random variable      211
Snakeeyes      27
Snell, J.L.      87 175 406 466
Snowfall in Hanover      83
Spike graph      6
Spikegraph (program)      6
Spinner      41 55 59 162
SPREAD      266
St. Ives      84
St. Petersburg paradox      227
Standard deviation      257
Standard normal random variable      213
Standardized random variable      264
Standardized sum      326
State of a Markov chain      405
State, absorbing      416
State, transient      416
Statistics, applications of the Central Limit Theorem to      333
Stepping stones      412
SteppingStone (program)      412
Stick of unit length      73
Stifel, M.      110
Stingler, S.      350
Stirling's formula      81
Stirling, J.      88
StirlingApproximations (program)      81
Stock prices      241
StockSystem (program)      241
Strong Law of Large Numbers      70 314
Suit event      160
Sutherland, E.      182
t-density      360
Tartaglia, N.      110
Tax returns      196
Tea      252
Telephone books      256
Tennis      157 424
Tetrahedral numbers      108
Thackeray, W.M.      14
Thompson, G.L.      406
Thorp, E.      247 253
Time to absorption      419
Tippett, L.H.C.      10
Traits, independence of      216
Transient state      416
Transition matrix      406
Transition probability      406
Tree diagram      24 76
Tree diagram, infinite binary      69
Treize      85
Triangle, acute      73
Triangular numbers      108
Trout      198
True-false exam      267
Tunbridge      154
Tversky, A.      14 38
Two aces problem      181
Two-armed bandit      170
TwoArm (program)      171
Type 1 error      101
Type 2 error      101
Typesetter      189
Ulam, S.      11
Unbiased estimator      266
Uniform density      205
Uniform density function      60
Uniform distribution      25 183
Uniform random variables sum of two continuous      63
Unshuffle      122
Uspensky, J.B.      299
Utility function      227
Vanderbei, R.      175
Vandermonde determinant      369
Variance      257 271
Variance, calculation of      258
Variation distance      128
VariationList (program)      128
Volleyball      158
von Bortkiewicz, L.      201
von Mises, R.      87
von Neumann, J.      10 11
vos Savani, M.      40 86 136 176 181
Wall Street Journal      161
Watches, counterfeit      91
Watson, H.W.      378
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