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| Johnson N., Kotz S., Kemp A.W. — Univariate discrete distributions |
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| Ïðåäìåòíûé óêàçàòåëü |
Added zeroes 186—187 312—318
Analysis of contingency tables 179 259 270
Applications: acceptance sampling 134 269
Applications: accidents 204 206 224 271—272 323 326 330 333 377 389 441 455
Applications: actuarial 323 326 407 457
Applications: animal abundance 203
Applications: audit sampling of accounts 283
Applications: bibliographic (library) 224 277
Applications: biometry 181 224 271 275 298—299 359 376—377 400 419
Applications: bosons 421
Applications: bus drivers 377
Applications: butterfly data 298
Applications: capture-recapture (mark-release) sampling 134 180 269 271
Applications: chromosomes 271
Applications: colonies of bacteria 181
Applications: computer storage analysis 405 419 420
Applications: cosmic ray counts 419
Applications: deaths from horse kicks 152
Applications: demography 137 180 204
Applications: diamond deposits 457
Applications: disease incidence 181 271
Applications: disease states 309 455
Applications: DNA 134 181 405
Applications: economics 181 224 309
Applications: entomology 212
Applications: family size/composition 224 225 271 445
Applications: fermions 421
Applications: fisheries research 309
Applications: flaws in cloth 231
Applications: genetics 134 405 413 417 419 457—458
Applications: haemocylometer data 204 231
Applications: image analysis 312
Applications: insect data 224 298—299 329 364 377 402 405 437—438
Applications: inspection sampling 267 270—271 284
Applications: insurance claims 225 232 305 331 402 457
Applications: inventory control 277
Applications: larvae 233 330 343—344 386
Applications: leucocyte data 360
Applications: linguistics 410
Applications: meteorology 203
Applications: parasite data 298
Applications: plant ecology 134 179 203 224 298 364 376—377 384 394
Applications: point quadrat data 271
Applications: polymer reactions 419
Applications: proofreading 433
Applications: psychology 224 405
Applications: purchasing and repeat buying 224 271 298 457
Applications: quadrat data 179 364 392 394
Applications: quality control 179
Applications: radioactivity 153 443—444
Applications: random mappings 100
Applications: retail food stores 377
Applications: runs of plant species 203
Applications: sedimentology 309
Applications: seed germination 271 321
Applications: sentence length 457
Applications: species abundance 286 457
Applications: speech recognition 312
Applications: spread of ideas 400
Applications: statistical physics 405 420—422
Applications: suicides 152
Applications: telephony 179—180 232 444
Applications: thermodynamic processes 400
Applications: traffic studies 181 271 276 444
Applications: weapon defense 139
Applications: word-frequency data 277 457
Approximations: Camp — Paulson 117 210 212
Approximations: Gram — Charlier 117 210—211 442—443
Approximations: Laplace 112 114—115
Approximations: Peizer and Pratt 115 163 211 261
Arrangements around a circle 424
Banach's matchbox problem 275
Bayes' postulate 39
Bayes' theorem 34 38—39
Bayesian decision theory 57
Bayesian inference 57 128—129 169—170 177 215 235
Bayesian inference, diffuse (uninformative, vague) prior 39
Bayesian inference, informative prior 39
Bayesian inference, posterior odds 39
Bayesian inference, prior/posterior probability 38
Bayesian interpretation of a mixture 308
Bernoulli distribution 105 357
Beta-related distributions: beta mixture of Poissons 330—331 386
Beta-related distributions: beta-binomial 83 84 238 239—242 252 254—255 264—266 281—282 336
Beta-related distributions: beta-correlated binomial 148—150
Beta-related distributions: beta-negative binomial I (beta-Pascal) 83 84 238 242—244 245 252 254—255 266 282 340
Beta-related distributions: beta-negative binomial II 243 338—339
Binomial distribution 71 76 78 81 82—84 92 104 105—150 228—229 245 364
Binomial distribution, applications 134—135
Binomial distribution, approximations, bounds, and tables 114—122 124
Binomial distribution, arc sine transformation 123
Binomial distribution, as a limiting distribution 90 94 134—135
Binomial distribution, Bayesian inference 125 128—129
Binomial distribution, beta (F) relationship 73 110 117
Binomial distribution, binomial mixing of binomials 336
Binomial distribution, binomial mixing of other distributions 341 342
Binomial distribution, binomial mixing of Poissons 333—334
Binomial distribution, binomial waiting-time distribution 200
Binomial distribution, characterizations 133—134
Binomial distribution, computation of probabilities 123—124
Binomial distribution, computer generation 64—65
Binomial distribution, confidence intervals 129—132
Binomial distribution, correlated binomial rv's 148—150
Binomial distribution, estimation 124—132
Binomial distribution, genesis and history 106
Binomial distribution, limiting forms 112 117—118 138 151—152 155 179
Binomial distribution, mixed binomial distributions 242 319—321 335—337
Binomial distribution, model selection 124—125
Binomial distribution, model verification 132—133
Binomial distribution, moment-type properties 106—109
Binomial distribution, negative binomial tail relationship 209—210 213
Binomial distribution, order statistics 113
Binomial distribution, other properties 109—113
Binomial distribution, positive binomial 109 135—136
Binomial distribution, pseudo-binomial variables 147—148
Binomial distribution, standardized variable 112 138
Binomial distribution, truncated 135—137
Binomial distribution, use in McNemar's test 134
Binomial distribution, use in sign test 134
Binomial distribution, weighted binomial 145—147
Binomial distribution, zero-modified 314—316
Binomial expanding and splitting 175
Binomial theorem 3 4
Birthday problems 415 419—420
Boole — Bonferroni — Frechet inequalities 408—409
Boole's formula 33 407
Bose — Einstein statistics 405 420—422
Calculus of probabilities 32—35
Camp — Paulson approximation 117 210 212
Censoring methods 53
Characteristic function 47—48
Characterizations 71
Characterizations, binomial distribution 133—134
Characterizations, damage process 174
Characterizations, geometric distribution 201 202 220—223
Characterizations, hypergeometric distributions 266—269
Characterizations, logarithmic distributions 297—298
Characterizations, negative binomial distribution 223
Characterizations, Poisson distribution 173—179
Clumping (clustering) 188
Coefficient of vaViation 41
Coincidences 405
Committee problems 418
Complement of an event 35
Complete family 58
composition 189
Compounding 188 344
Computer generation: acceptance-complement method 64
Computer generation: acceptance-rejection method 64
Computer generation: alias method 63
| Computer generation: beta (median) method 64
Computer generation: binomial rv's 64—65
Computer generation: build-up/chop-down search 65
Computer generation: coin-flip (yes-no) method 64
Computer generation: composition methods 63—64
Computer generation: discrete thinning 68
Computer generation: distribution-nonspecific methods 62—63
Computer generation: distribution-specific methods 63
Computer generation: dynamic thinning 68
Computer generation: envelope distribution 64
Computer generation: exponential-gap method 65
Computer generation: frequency-table method 63
Computer generation: hypergeometric rv's 67—68
Computer generation: indexed table look-up method 63
Computer generation: inversion method 62
Computer generation: logarithmic rv's 68
Computer generation: negative binomial rv's 66—67
Computer generation: period of a generator 61
Computer generation: Poisson rv's 65—66
Computer generation: pseudo-random number algorithms 61—62
Computer generation: search-from-origin method 65
Computer generation: table look-up method 62—63
Computer generation: target distribution 62 64
Computer generation: uniform random-number generators 61—62
Computer generation: Walker's alias method 63
Conditional probability 34
confidence intervals 61
Consecutive A-out-of-n:F failures 431
Contagion model 344
Continuity correction 114
Continuous distributions 36
Continuous distributions, beta (F) 73 117 204 206 242—243 281—282 330—331 336 338—340 386 389
Continuous distributions, chi-square 153 160 162 189—190 212 259—260
Continuous distributions, exponential 153 154—155 201 220
Continuous distributions, gamma 73 189—190 204 206 308 328 329 331 338 420
Continuous distributions, inverse Gaussian 328 455
Continuous distributions, lognormal 301 332
Continuous distributions, non-central chi-square 191 233
Continuous distributions, normal 16 114—116 118 138 162 189 211 261 280 361 372
Continuous distributions, Pearson Type III 194
Continuous mixtures of discrete distributions 307—308
Continuous mixtures of discrete distributions, binomials 205 242
Continuous mixtures of discrete distributions, other distributions 205 242 249 307 340—341
Continuous mixtures of discrete distributions, Poissons 204 287 307 322—323 326—333
Continuous random variable 36
Convolution of random variables 50
Convolution of random variables, binomials 138
Convolution of random variables, negative binomials 205
Convolution of random variables, Poisson multiplets 189 323
Convolution of random variables, pseudo-binomials 147—148
Coolidge sampling scheme 141—142
Correlated random variables: binomials 148—150
Correlated random variables: Poissons 205
Correlation coefficient 46
Countable mixtures of discrete distributions 307 322—325
Countable mixtures of discrete distributions, binomials 335—337
Countable mixtures of discrete distributions, other distributions 329—330 341—342
Countable mixtures of discrete distributions, Poissons 326—335
Coupon collecting (dixie-cup) problem 92 418
Covariance 46
Cramer — Rao inequality 58
Cumulants 44—46 71—72 76 89 94 326—327
Cumulative distribution function (cdf) 35—36
Damage process 174 287 349—350 386
Data sets with a common parameter 219—220 376
de Moivre — Laplace theorem 112 114 138
De Morgan's laws 35
Decomposition of a distribution 306 312 319 321
Degrees of belief 38
Delta method 55
Differences of Zero 10
Differential calculus 12—14
Differential operator  12—13
Differential operator D 12
Discrete analogues of continuous distributions: Ades 437—438
Discrete analogues of continuous distributions: exponential 201
Discrete analogues of continuous distributions: normal 84
Discrete analogues of continuous distributions: Pareto 466
Discrete analogues of continuous distributions: rectangular (uniform) 88 92 272—274 342 430 432
Discrete analogues of continuous distributions: Student's t 83 438—439
Discrete analogues of continuous distributions: Weibull 451
Discrete distribution 36
Discrete distributions see also Beta-related distributions; Binomial; Convolution of rv's; Discrete analogues of continuous distributions; Distributional types; Distributions of order k; Families; Finite mixtures; Generalized hypergeometric; Geometric Hermite; Hypergeometric; Lagrangian; Lagrangian — Poisson: Lagrangian-type; Logarithmic; Log-series; Mixtures; Negative binomial; Negative hypergeometric; Neyman Type A; Occupancy; Poisson; Poisson-binomial; Poisson — Pascal; Poisson-related; Polya — Aeppli; Power series; q-series; Queuing theory; Stopped-sum; Stuttering; Zero modified; Zero truncated
Discrete distributions, "generalized" logarithmic 97 302—303
Discrete distributions, "generalized" negative binomial 97 142—143 230 302
Discrete distributions, "generalized" Poisson see Lagrangian — Poisson
Discrete distributions, "inverse binomial" 446
Discrete distributions, "short" 377 389—391
Discrete distributions, absorption 433—435
Discrete distributions, Ades 437—438
Discrete distributions, Anderson 92 413
Discrete distributions, Arfwedson 418
Discrete distributions, Beall and Rescia 88 387
Discrete distributions, Bell 102
Discrete distributions, Bernoulli 105 138 147 357
Discrete distributions, binomial distribution of Poisson 138
Discrete distributions, binomial mixture of another distribution 341
Discrete distributions, binomial mixture of binomials 336
Discrete distributions, binomial mixture of Poissons 333—334
Discrete distributions, binomial waiting-time distribution 200
Discrete distributions, binomial-Poisson 143
Discrete distributions, Borel — Hermite 363
Discrete distributions, Borel — Tanner 96 98 189 277 394—396 453 469
Discrete distributions, burnt-fingers 95 196
Discrete distributions, Chung — Feller 92 274—275
Discrete distributions, classical matching 92 104 409—410
Discrete distributions, confluent hypergeometric 195 205 339
Discrete distributions, Consul 98
Discrete distributions, Consul's generalized Poisson 97 189 324 396—400
Discrete distributions, Coolidge 141—142
Discrete distributions, Dandekar's modified binomials 435—436
Discrete distributions, Dandekar's modified Poissons 435—436
Discrete distributions, Darwin 301
Discrete distributions, Delaporte 232 328
Discrete distributions, digamma 436—437
Discrete distributions, discrete lognormal 301
Discrete distributions, discrete normal 84
Discrete distributions, discrete Pareto 466
Discrete distributions, discrete rectangular (uniform) 88 92 272—274 342 430 432
Discrete distributions, discrete Student's t 83 438—439
Discrete distributions, discrete Weibull 451
Discrete distributions, displaced Poisson 88 192—193
Discrete distributions, Engen's extended negative binomial 229—230
Discrete distributions, Euler 197—198
Discrete distributions, exceedances 88 240—241
Discrete distributions, extended hypergeometric 88 279—282
Discrete distributions, Fibonacci 427
Discrete distributions, Furry 201
Discrete distributions, Geeta 439—440
Discrete distributions, Gegenbauer 148 363 440—442
Discrete distributions, general Dirichlet series 74
Discrete distributions, generalized Eulerian 102
Discrete distributions, generalized Gegenbauer 442
Discrete distributions, generalized poly-nacci 427
Discrete distributions, generalized Polya — Aeppli 382—386
Discrete distributions, generalized Waring 104 242—244
Discrete distributions, Gold and Gerstenkorn's generalized Poisson 196 324
Discrete distributions, Gram — Charlier Type B 442—443
Discrete distributions, Gumbel 92 411
Discrete distributions, Gurland's generalized Neyman 386—388
Discrete distributions, Haight's accident 95 331—332
Discrete distributions, Haight's harmonic 470
Discrete distributions, Haight's zeta 470
Discrete distributions, Harkness 279—281
Discrete distributions, Heine 197—198
Discrete distributions, hyper-Poisson 88 192—195 339
Discrete distributions, imperfect inspection hypergeometric 284
Discrete distributions, intrinsic hypergeometric 284
Discrete distributions, inverse hypergeometric 88 239—242 245 252 264—266 270—271
Discrete distributions, inverse Markov — Polya 88
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