LEADER 05288nam 2200661 a 450 001 9910830134003321 005 20230617005753.0 010 $a1-280-27663-0 010 $a9786610276639 010 $a0-470-30792-7 010 $a0-471-71581-6 010 $a0-471-71580-8 035 $a(CKB)1000000000355849 035 $a(EBL)239394 035 $a(OCoLC)475950607 035 $a(SSID)ssj0000265224 035 $a(PQKBManifestationID)11218022 035 $a(PQKBTitleCode)TC0000265224 035 $a(PQKBWorkID)10294539 035 $a(PQKB)10516603 035 $a(MiAaPQ)EBC239394 035 $a(EXLCZ)991000000000355849 100 $a20050713d2005 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aUnivariate discrete distributions$b[electronic resource] 205 $a3rd ed. 210 $aHoboken, N.J. $cWiley$dc2005 215 $a1 online resource (676 p.) 225 1 $aWiley Series in Probability and Statistics ;$vv.444 300 $aDescription based upon print version of record. 311 $a0-471-27246-9 320 $aIncludes bibliographical references (p. 535-630) and index. 327 $aUnivariate Discrete Distributions; Contents; Preface; 1 Preliminary Information; 1.1 Mathematical Preliminaries; 1.1.1 Factorial and Combinatorial Conventions; 1.1.2 Gamma and Beta Functions; 1.1.3 Finite Difference Calculus; 1.1.4 Differential Calculus; 1.1.5 Incomplete Gamma and Beta Functions and Other Gamma-Related Functions; 1.1.6 Gaussian Hypergeometric Functions; 1.1.7 Confluent Hypergeometric Functions (Kummer's Functions); 1.1.8 Generalized Hypergeometric Functions; 1.1.9 Bernoulli and Euler Numbers and Polynomials; 1.1.10 Integral Transforms; 1.1.11 Orthogonal Polynomials 327 $a1.1.12 Basic Hypergeometric Series1.2 Probability and Statistical Preliminaries; 1.2.1 Calculus of Probabilities; 1.2.2 Bayes's Theorem; 1.2.3 Random Variables; 1.2.4 Survival Concepts; 1.2.5 Expected Values; 1.2.6 Inequalities; 1.2.7 Moments and Moment Generating Functions; 1.2.8 Cumulants and Cumulant Generating Functions; 1.2.9 Joint Moments and Cumulants; 1.2.10 Characteristic Functions; 1.2.11 Probability Generating Functions; 1.2.12 Order Statistics; 1.2.13 Truncation and Censoring; 1.2.14 Mixture Distributions; 1.2.15 Variance of a Function; 1.2.16 Estimation 327 $a1.2.17 General Comments on the Computer Generation of Discrete Random Variables1.2.18 Computer Software; 2 Families of Discrete Distributions; 2.1 Lattice Distributions; 2.2 Power Series Distributions; 2.2.1 Generalized Power Series Distributions; 2.2.2 Modified Power Series Distributions; 2.3 Difference-Equation Systems; 2.3.1 Katz and Extended Katz Families; 2.3.2 Sundt and Jewell Family; 2.3.3 Ord's Family; 2.4 Kemp Families; 2.4.1 Generalized Hypergeometric Probability Distributions; 2.4.2 Generalized Hypergeometric Factorial Moment Distributions 327 $a2.5 Distributions Based on Lagrangian Expansions2.6 Gould and Abel Distributions; 2.7 Factorial Series Distributions; 2.8 Distributions of Order-k; 2.9 q-Series Distributions; 3 Binomial Distribution; 3.1 Definition; 3.2 Historical Remarks and Genesis; 3.3 Moments; 3.4 Properties; 3.5 Order Statistics; 3.6 Approximations, Bounds, and Transformations; 3.6.1 Approximations; 3.6.2 Bounds; 3.6.3 Transformations; 3.7 Computation, Tables, and Computer Generation; 3.7.1 Computation and Tables; 3.7.2 Computer Generation; 3.8 Estimation; 3.8.1 Model Selection; 3.8.2 Point Estimation 327 $a3.8.3 Confidence Intervals3.8.4 Model Verification; 3.9 Characterizations; 3.10 Applications; 3.11 Truncated Binomial Distributions; 3.12 Other Related Distributions; 3.12.1 Limiting Forms; 3.12.2 Sums and Differences of Binomial-Type Variables; 3.12.3 Poissonian Binomial, Lexian, and Coolidge Schemes; 3.12.4 Weighted Binomial Distributions; 3.12.5 Chain Binomial Models; 3.12.6 Correlated Binomial Variables; 4 Poisson Distribution; 4.1 Definition; 4.2 Historical Remarks and Genesis; 4.2.1 Genesis; 4.2.2 Poissonian Approximations; 4.3 Moments; 4.4 Properties 327 $a4.5 Approximations, Bounds, and Transformations 330 $aThis Set Contains: Continuous Multivariate Distributions, Volume 1, Models and Applications, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. JohnsonContinuous Univariate Distributions, Volume 1, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. JohnsonContinuous Univariate Distributions, Volume 2, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. JohnsonDiscrete Multivariate Distributions by Samuel Kotz, N. Balakrishnan and Normal L. JohnsonUnivariate Discrete Distributions, 3rd Edition by Samuel Kotz, N. Balakris 410 0$aWiley Series in Probability and Statistics 606 $aDistribution (Probability theory) 615 0$aDistribution (Probability theory) 676 $a519.24 676 $a519.5 700 $aJohnson$b Norman Lloyd$012699 701 $aKemp$b Adrienne W$0447759 701 $aKotz$b Samuel$012052 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910830134003321 996 $aUnivariate discrete distributions$9103017 997 $aUNINA