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| Johnson N., Kotz S., Kemp A.W. — Univariate discrete distributions |
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| Предметный указатель |
Poisson-related distributions, truncated-Pearson Type III mixed Poissons 332
Poissonian binomial sampling scheme 138—140 152
Polya — Aeppli distribution 88 233 329—330 350 378—382 383 391
Polya — Aeppli distribution, estimation 381—382
Polya — Aeppli distribution, genesis 378
Polya — Aeppli distribution, moment and other properties 380—381
Polynomials: Bell 346—347 430—431
Polynomials: Bernoulli 25 26
Polynomials: Charlier 29
Polynomials: Chebyshev 19 29
Polynomials: Euler 26
Polynomials: Gegenbauer 440
Polynomials: generalized Laguerre 28
Polynomials: Hermite 21—22 27—28
Polynomials: Jacobi 19 29
Polynomials: Krawtchouk 29
Polynomials: Legendre 19
Polynomials: orthogonal 27—29
Power parameter 70
Power series distribution (PSD) 70—77
Power series distribution (PSD), characterizations 71 76—77
Power series distribution (PSD), estimation 73—74 76
Power series distribution (PSD), properties 71—73 75
Probabilities of combined events 33—35 406—409
Probability axioms 33
Probability density function (pdf) 36
Probability mass function (pmf) 36 49
Probleme de rencontre (problem of coincidences) 409—410
Propagation of error 55
Pseudo-binomial variables 147—148 442
q-series distributions: q-binomial 140
q-series distributions: q-logarithmic 304
q-series distributions: q-negative binomial 435
q-series distributions: q-Poisson 197
Queueing theory distributions 98 101 102 106 147 198 203 207 394—395 445 451—453
Random mappings 100
Random variable (rv): continuous 36
Random variable (rv): difference of rv's 50
Random variable (rv): discrete 36
Random variable (rv): sum of rv's 50
Randomly splitting a pack 413
RANGE 51
Rao damage model 174 287 349—350 386 442
Rao — Rubin theorem 174—176 350
Records 453—455
Reed — Frost chain binomial model 104
Regression function 47
Risk function 306
runs 405 422—427
Safety campaign model 464
Sample mean 60
Sample moments 60
Sampling distribution 46
Sampling schemes: binomial 106 152
Sampling schemes: Coolidge 141—142
Sampling schemes: Lexian 141
Sampling schemes: Poisson — Lexis 142
Sampling schemes: Poissonian binomial 138—140 152
Sampling: from finite population 106
Sampling: from infinite population 106
Sampling: imperfect inspection sampling 284
Sampling: inspection sampling 270—271
Sampling: quality control 179 269
Sampling: size-biased 146
Sampling: snowball 104
Sampling: with additional replacements 241 243 245
Sampling: with additional withdrawals 245
Sampling: with replacement 106 418
Sampling: without replacement 134 179 237 241 337 464
Scedasticity 47
SERIES function 70
Sesquimodal 42
Sign test 134
skewness 42
Stable distribution 48
Statistic 57
Statistical physics 405 420—422
| Stochastic processes: Arfwedson 204
Stochastic processes: Bernoulli damage 174 349—350
Stochastic processes: birth, death, immigration, and emigration processes 91 106 147 153 180 206—207 224 247—248 287 400 441 445 447 452
Stochastic processes: branching processes 95 147 344 400 441 446 457—458
Stochastic processes: compound Poisson process 356
Stochastic processes: Foster process 198 207
Stochastic processes: mixed Poisson processes 331
Stochastic processes: nonhomogeneous process 154 206 442
Stochastic processes: Poisson process 154 179 180 420
Stochastic processes: Polya process 206 287
Stochastic processes: time-homogeneous process 91
Stochastic processes: Yule — Furry process 287
Stopped-sum distributions 188—189 233 343—403
Stuttering distributions: stuttering negative binomial 363
Stuttering distributions: stuttering Poisson 188 356
Superimposition of distributes 306
Support of a distribution 36
Survival function 36
Symbol: ascending (rising) factorial 2—3
Symbol: binomial coefficient 3
Symbol: descending (falling) factorial 2
Symbol: multinomial coefficient 4
Symbol: Pochhammer's 2
Symbol: q-binomial coefficient 31 434
Symbol: Stirling numbers 10—11
Symbolic calculus 8—9 407
Symbolic representation of mixture 307
Symbolic representation of stopped-sum distributions 344—345
Tails relationships: beta-binomial and beta-negative binomial 254
Tails relationships: binomial and beta (F) 73 117 210
Tails relationships: binomial and negative binomial 209—210 213
Tails relationships: hypergeometric and beta-negative binomial 254—255
Tails relationships: hypergeometric and negative hypergeometric 254—255
Tails relationships: negative binomial and beta 73 209—210
Tails relationships: Poisson and gamma (chi-square) 73 153 160 189—190
Taylor's power law 220 437—438
Theorem of total probability 34
Theory of runs: applications 425
Theory of runs: runs distributions 422—427
Theory of runs: runs of like elements 422—425
Theory of runs: runs up and down 425—426
Theory of runs: success runs distributions 426—427
Theory of runs: total number of runs 423
Theory of runs: turning points 425
Transformations: arc sine (binomial data) 123
Transformations: arc sinh (negative binomial data) 212—213
Transformations: normalizing 55 123 163 212—213
Transformations: square root (Poisson data) 163
Transformations: variance-stabilizing 55 123 163 212—213
Truncation: above (right truncated) 52 184—186 299—300
Truncation: and censoring 53
Truncation: below (left truncated) 52 135—137 181—184 225—227 282
Truncation: double (left and right truncated) 52 136 186
Truncation: points 52
Unidentifiable mixture 310—311
Unimodality 42 327
Unimodality, discrete  -unimodality 42
Urn models 134 237 241 245 274 463—465
Urn models, Consul 465
Urn models, Friedman 463—464
Urn models, leaking 417—418
Urn models, Naor 447—448
Urn models, play-the-winner 465
Urn models, Polya 205 245 463 464
Urn models, Rutherford 464—465
Urn models, stochastic replacements 463—465
Urn models, Woodbury 464—465
Vandermonde's theorem 3 17
Variance of a function 54—55
Variance-stabilizing transformation 55 123 163 212—213
Variance-to-mean relationship 228 326 354 437—438
Wald — Wolfowitz two-sample test 425
Weighted distributions 90 94—95 145—147 230—231 248
Whitworth's theorem 409
Wilks' selection problem 447
Zero-modified (inflated/deflated) distributions 186—187 300 312—318
Zero-truncated distributions 135—137 181—183 225—227 282
Zipf — Estoup law 466
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