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Johnson N., Kotz S., Kemp A.W. Ч Univariate discrete distributions
Johnson N., Kotz S., Kemp A.W. Ч Univariate discrete distributions

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Ќазвание: Univariate discrete distributions

јвторы: Johnson N., Kotz S., Kemp A.W.

јннотаци€:

Addresses the latest advances in discrete distributions theory including the development of new distributions, new families of distributions and a better understanding of their interrelationships. Greater emphasis on the increasing relevance of Bayesian inference to discrete distribution, especially with regard to the binomial and Poisson distributions, is covered. All chapters have been revised to make them user-friendly and more up-to-date. Extensive information on new mixtures, including generalized hypergeometric families, and the increased use of the computer have been added. The bibliography is updated and expanded along with relevant chapter and section numbers.


язык: en

–убрика: ћатематика/¬еро€тность/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

»здание: second edition

√од издани€: 1992

 оличество страниц: 568

ƒобавлена в каталог: 04.06.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
Added zeroes      186Ч187 312Ч318
Analysis of contingency tables      179 259 270
Applications: acceptance sampling      134 269
Applications: accidents      204 206 224 271Ч272 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 298Ч299 359 376Ч377 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 457Ч458
Applications: haemocylometer data      204 231
Applications: image analysis      312
Applications: insect data      224 298Ч299 329 364 377 402 405 437Ч438
Applications: inspection sampling      267 270Ч271 284
Applications: insurance claims      225 232 305 331 402 457
Applications: inventory control      277
Applications: larvae      233 330 343Ч344 386
Applications: leucocyte data      360
Applications: linguistics      410
Applications: meteorology      203
Applications: parasite data      298
Applications: plant ecology      134 179 203 224 298 364 376Ч377 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 443Ч444
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 420Ч422
Applications: suicides      152
Applications: telephony      179Ч180 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 Ч Paulson      117 210 212
Approximations: Gram Ч Charlier      117 210Ч211 442Ч443
Approximations: Laplace      112 114Ч115
Approximations: Peizer and Pratt      115 163 211 261
Arrangements around a circle      424
Banach's matchbox problem      275
Bayes' postulate      39
Bayes' theorem      34 38Ч39
Bayesian decision theory      57
Bayesian inference      57 128Ч129 169Ч170 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      330Ч331 386
Beta-related distributions: beta-binomial      83 84 238 239Ч242 252 254Ч255 264Ч266 281Ч282 336
Beta-related distributions: beta-correlated binomial      148Ч150
Beta-related distributions: beta-negative binomial I (beta-Pascal)      83 84 238 242Ч244 245 252 254Ч255 266 282 340
Beta-related distributions: beta-negative binomial II      243 338Ч339
Binomial distribution      71 76 78 81 82Ч84 92 104 105Ч150 228Ч229 245 364
Binomial distribution, applications      134Ч135
Binomial distribution, approximations, bounds, and tables      114Ч122 124
Binomial distribution, arc sine transformation      123
Binomial distribution, as a limiting distribution      90 94 134Ч135
Binomial distribution, Bayesian inference      125 128Ч129
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      333Ч334
Binomial distribution, binomial waiting-time distribution      200
Binomial distribution, characterizations      133Ч134
Binomial distribution, computation of probabilities      123Ч124
Binomial distribution, computer generation      64Ч65
Binomial distribution, confidence intervals      129Ч132
Binomial distribution, correlated binomial rv's      148Ч150
Binomial distribution, estimation      124Ч132
Binomial distribution, genesis and history      106
Binomial distribution, limiting forms      112 117Ч118 138 151Ч152 155 179
Binomial distribution, mixed binomial distributions      242 319Ч321 335Ч337
Binomial distribution, model selection      124Ч125
Binomial distribution, model verification      132Ч133
Binomial distribution, moment-type properties      106Ч109
Binomial distribution, negative binomial tail relationship      209Ч210 213
Binomial distribution, order statistics      113
Binomial distribution, other properties      109Ч113
Binomial distribution, positive binomial      109 135Ч136
Binomial distribution, pseudo-binomial variables      147Ч148
Binomial distribution, standardized variable      112 138
Binomial distribution, truncated      135Ч137
Binomial distribution, use in McNemar's test      134
Binomial distribution, use in sign test      134
Binomial distribution, weighted binomial      145Ч147
Binomial distribution, zero-modified      314Ч316
Binomial expanding and splitting      175
Binomial theorem      3 4
Birthday problems      415 419Ч420
Boole Ч Bonferroni Ч Frechet inequalities      408Ч409
Boole's formula      33 407
Bose Ч Einstein statistics      405 420Ч422
Calculus of probabilities      32Ч35
Camp Ч Paulson approximation      117 210 212
Censoring methods      53
Characteristic function      47Ч48
Characterizations      71
Characterizations, binomial distribution      133Ч134
Characterizations, damage process      174
Characterizations, geometric distribution      201 202 220Ч223
Characterizations, hypergeometric distributions      266Ч269
Characterizations, logarithmic distributions      297Ч298
Characterizations, negative binomial distribution      223
Characterizations, Poisson distribution      173Ч179
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      64Ч65
Computer generation: build-up/chop-down search      65
Computer generation: coin-flip (yes-no) method      64
Computer generation: composition methods      63Ч64
Computer generation: discrete thinning      68
Computer generation: distribution-nonspecific methods      62Ч63
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      67Ч68
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      66Ч67
Computer generation: period of a generator      61
Computer generation: Poisson rv's      65Ч66
Computer generation: pseudo-random number algorithms      61Ч62
Computer generation: search-from-origin method      65
Computer generation: table look-up method      62Ч63
Computer generation: target distribution      62 64
Computer generation: uniform random-number generators      61Ч62
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 242Ч243 281Ч282 330Ч331 336 338Ч340 386 389
Continuous distributions, chi-square      153 160 162 189Ч190 212 259Ч260
Continuous distributions, exponential      153 154Ч155 201 220
Continuous distributions, gamma      73 189Ч190 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 114Ч116 118 138 162 189 211 261 280 361 372
Continuous distributions, Pearson Type III      194
Continuous mixtures of discrete distributions      307Ч308
Continuous mixtures of discrete distributions, binomials      205 242
Continuous mixtures of discrete distributions, other distributions      205 242 249 307 340Ч341
Continuous mixtures of discrete distributions, Poissons      204 287 307 322Ч323 326Ч333
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      147Ч148
Coolidge sampling scheme      141Ч142
Correlated random variables: binomials      148Ч150
Correlated random variables: Poissons      205
Correlation coefficient      46
Countable mixtures of discrete distributions      307 322Ч325
Countable mixtures of discrete distributions, binomials      335Ч337
Countable mixtures of discrete distributions, other distributions      329Ч330 341Ч342
Countable mixtures of discrete distributions, Poissons      326Ч335
Coupon collecting (dixie-cup) problem      92 418
Covariance      46
Cramer Ч Rao inequality      58
Cumulants      44Ч46 71Ч72 76 89 94 326Ч327
Cumulative distribution function (cdf)      35Ч36
Damage process      174 287 349Ч350 386
Data sets with a common parameter      219Ч220 376
de Moivre Ч 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      12Ч14
Differential operator $\theta$      12Ч13
Differential operator D      12
Discrete analogues of continuous distributions: Ades      437Ч438
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 272Ч274 342 430 432
Discrete analogues of continuous distributions: Student's t      83 438Ч439
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 Ч Poisson: Lagrangian-type; Logarithmic; Log-series; Mixtures; Negative binomial; Negative hypergeometric; Neyman Type A; Occupancy; Poisson; Poisson-binomial; Poisson Ч Pascal; Poisson-related; Polya Ч Aeppli; Power series; q-series; Queuing theory; Stopped-sum; Stuttering; Zero modified; Zero truncated
Discrete distributions, "generalized" logarithmic      97 302Ч303
Discrete distributions, "generalized" negative binomial      97 142Ч143 230 302
Discrete distributions, "generalized" Poisson      see Lagrangian Ч Poisson
Discrete distributions, "inverse binomial"      446
Discrete distributions, "short"      377 389Ч391
Discrete distributions, absorption      433Ч435
Discrete distributions, Ades      437Ч438
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      333Ч334
Discrete distributions, binomial waiting-time distribution      200
Discrete distributions, binomial-Poisson      143
Discrete distributions, Borel Ч Hermite      363
Discrete distributions, Borel Ч Tanner      96 98 189 277 394Ч396 453 469
Discrete distributions, burnt-fingers      95 196
Discrete distributions, Chung Ч Feller      92 274Ч275
Discrete distributions, classical matching      92 104 409Ч410
Discrete distributions, confluent hypergeometric      195 205 339
Discrete distributions, Consul      98
Discrete distributions, Consul's generalized Poisson      97 189 324 396Ч400
Discrete distributions, Coolidge      141Ч142
Discrete distributions, Dandekar's modified binomials      435Ч436
Discrete distributions, Dandekar's modified Poissons      435Ч436
Discrete distributions, Darwin      301
Discrete distributions, Delaporte      232 328
Discrete distributions, digamma      436Ч437
Discrete distributions, discrete lognormal      301
Discrete distributions, discrete normal      84
Discrete distributions, discrete Pareto      466
Discrete distributions, discrete rectangular (uniform)      88 92 272Ч274 342 430 432
Discrete distributions, discrete Student's t      83 438Ч439
Discrete distributions, discrete Weibull      451
Discrete distributions, displaced Poisson      88 192Ч193
Discrete distributions, Engen's extended negative binomial      229Ч230
Discrete distributions, Euler      197Ч198
Discrete distributions, exceedances      88 240Ч241
Discrete distributions, extended hypergeometric      88 279Ч282
Discrete distributions, Fibonacci      427
Discrete distributions, Furry      201
Discrete distributions, Geeta      439Ч440
Discrete distributions, Gegenbauer      148 363 440Ч442
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 Ч Aeppli      382Ч386
Discrete distributions, generalized Waring      104 242Ч244
Discrete distributions, Gold and Gerstenkorn's generalized Poisson      196 324
Discrete distributions, Gram Ч Charlier Type B      442Ч443
Discrete distributions, Gumbel      92 411
Discrete distributions, Gurland's generalized Neyman      386Ч388
Discrete distributions, Haight's accident      95 331Ч332
Discrete distributions, Haight's harmonic      470
Discrete distributions, Haight's zeta      470
Discrete distributions, Harkness      279Ч281
Discrete distributions, Heine      197Ч198
Discrete distributions, hyper-Poisson      88 192Ч195 339
Discrete distributions, imperfect inspection hypergeometric      284
Discrete distributions, intrinsic hypergeometric      284
Discrete distributions, inverse hypergeometric      88 239Ч242 245 252 264Ч266 270Ч271
Discrete distributions, inverse Markov Ч Polya      88
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