05322nam 2200673 a 450 991014356920332120170815121710.01-280-27663-097866102766390-470-30792-70-471-71581-60-471-71580-8(CKB)1000000000355849(EBL)239394(OCoLC)475950607(SSID)ssj0000265224(PQKBManifestationID)11218022(PQKBTitleCode)TC0000265224(PQKBWorkID)10294539(PQKB)10516603(MiAaPQ)EBC239394(EXLCZ)99100000000035584920050713d2005 uy 0engur|n|---|||||txtccrUnivariate discrete distributions[electronic resource]3rd ed.Hoboken, N.J. Wileyc20051 online resource (676 p.)Wiley Series in Probability and Statistics ;v.444Description based upon print version of record.0-471-27246-9 Includes bibliographical references (p. 535-630) and index.Univariate 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 Polynomials1.1.12 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 Estimation1.2.17 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 Distributions2.5 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 Estimation3.8.3 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 Properties4.5 Approximations, Bounds, and TransformationsThis 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. BalakrisWiley Series in Probability and StatisticsDistribution (Probability theory)Electronic books.Distribution (Probability theory)519.24519.5Johnson Norman Lloyd12699Kemp Adrienne W447759Kotz Samuel12052MiAaPQMiAaPQMiAaPQBOOK9910143569203321Univariate discrete distributions103017UNINA