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Record Nr. |
UNINA9910143569203321 |
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Autore |
Johnson Norman Lloyd |
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Titolo |
Univariate discrete distributions [[electronic resource]] |
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Pubbl/distr/stampa |
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Hoboken, N.J., : Wiley, c2005 |
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ISBN |
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1-280-27663-0 |
9786610276639 |
0-470-30792-7 |
0-471-71581-6 |
0-471-71580-8 |
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Edizione |
[3rd ed.] |
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Descrizione fisica |
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1 online resource (676 p.) |
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Collana |
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Wiley Series in Probability and Statistics ; ; v.444 |
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Altri autori (Persone) |
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KempAdrienne W |
KotzSamuel |
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Disciplina |
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Soggetti |
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Distribution (Probability theory) |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 535-630) and index. |
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Nota di contenuto |
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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 Polynomials |
1.1.12 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 |
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Variance of a Function; 1.2.16 Estimation |
1.2.17 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 |
2.5 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 |
3.8.3 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 |
4.5 Approximations, Bounds, and Transformations |
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Sommario/riassunto |
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This 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 |
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