Univariate discrete distributions [[electronic resource]] |
Autore | Johnson Norman Lloyd |
Edizione | [3rd ed.] |
Pubbl/distr/stampa | Hoboken, N.J., : Wiley, c2005 |
Descrizione fisica | 1 online resource (676 p.) |
Disciplina |
519.24
519.5 |
Altri autori (Persone) |
KempAdrienne W
KotzSamuel |
Collana | Wiley Series in Probability and Statistics |
Soggetto topico | Distribution (Probability theory) |
Soggetto genere / forma | Electronic books. |
ISBN |
1-280-27663-0
9786610276639 0-470-30792-7 0-471-71581-6 0-471-71580-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
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 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 |
Record Nr. | UNINA-9910143569203321 |
Johnson Norman Lloyd | ||
Hoboken, N.J., : Wiley, c2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Univariate discrete distributions [[electronic resource]] |
Autore | Johnson Norman Lloyd |
Edizione | [3rd ed.] |
Pubbl/distr/stampa | Hoboken, N.J., : Wiley, c2005 |
Descrizione fisica | 1 online resource (676 p.) |
Disciplina |
519.24
519.5 |
Altri autori (Persone) |
KempAdrienne W
KotzSamuel |
Collana | Wiley Series in Probability and Statistics |
Soggetto topico | Distribution (Probability theory) |
ISBN |
1-280-27663-0
9786610276639 0-470-30792-7 0-471-71581-6 0-471-71580-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
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 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 |
Record Nr. | UNINA-9910830134003321 |
Johnson Norman Lloyd | ||
Hoboken, N.J., : Wiley, c2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Univariate discrete distributions |
Autore | Johnson Norman Lloyd |
Edizione | [3rd ed. /] |
Pubbl/distr/stampa | Hoboken, N.J., : Wiley, c2005 |
Descrizione fisica | 1 online resource (676 p.) |
Disciplina | 519.2/4 |
Altri autori (Persone) |
KempAdrienne W
KotzSamuel |
Collana | Wiley Series in Probability and Statistics |
Soggetto topico | Distribution (Probability theory) |
ISBN |
1-280-27663-0
9786610276639 0-470-30792-7 0-471-71581-6 0-471-71580-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
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 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 |
Record Nr. | UNINA-9910877153803321 |
Johnson Norman Lloyd | ||
Hoboken, N.J., : Wiley, c2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|