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catalog abstract "Addresses the latest advances in discrete distributions theory including the development of new distributions, new families of distributions and a better understanding of their interrelationships. Greater emphasis on the increasing relevance of Bayesian inference to discrete distribution, especially with regard to the binomial and Poisson distributions, is covered. All chapters have been revised to make them user-friendly and more up-to-date. Extensive information on new mixtures, including generalized hypergeometric families, and the increased use of the computer have been added. The bibliography is updated and expanded along with relevant chapter and section numbers.".
catalog contributor b3774253.
catalog contributor b3774254.
catalog contributor b3774255.
catalog contributor b3774256.
catalog contributor b3774257.
catalog created "c1992.".
catalog date "1992".
catalog date "c1992.".
catalog dateCopyrighted "c1992.".
catalog description "1. Preliminary Information. A. Mathematical Preliminaries. B. Probability and Statistical Preliminaries. C. Computer Generation of Univariate Discrete Random Variables -- 2. Families of Discrete Distributions. 1. Lattice Distributions. 2. Power Series Distributions. 3. Difference Equation Systems. 4. Kemp Families. 5. Distributions Based on Lagrangian Expansions. 6. Factorial Series Distributions -- 3. Binomial Distribution. 1. Definition. 2. Historical Remarks and Genesis. 3. Moments. 4. Properties. 5. Order Statistics. 6. Approximations, Bounds, and Transformations. 7. Computation and Tables. 8. Estimation. 9. Characterizations. 10. Applications. 11. Truncated Binomial Distributions. 12. Other Related Distributions -- ".
catalog description "11. Miscellaneous Discrete Distributions. 1. Absorption Distribution. 2. Dandekar's Modified Binomial and Poisson Distributions. 3. Digammma and Trigamma Distributions. 4. Discrete Ades Distribution. 5. Discrete Student's t-Distribution. 6. Geeta Distribution. 7. Gegenbauer Distribution: Negative Binomial[superscript *]Pseudo-Negative Binomial Convolution. 8. Gram-Charlier Type B Distributions. 9. "Interrupted" Distributions. 10. Lost-Games Distributions. 11. Naor's Distribution. 12. Partial-Sums Distributions. 13. Queueing Theory Distributions. 14. Record-Value Distributions. 15. Sichel Distribution: Poisson-Inverse Gaussian Distribution. 16. Skellam's Gene Frequency Distribution. 17. Steyn's Two-Parameter Power Series Distributions. 18. Univariate Multinomial-Type Distributions. 19. Urn Models with Stochastic Replacements. 20. Zipf and Zeta Distributions.".
catalog description "4. Poisson Distribution. 1. Definition. 2. Historical Remarks and Genesis. 3. Moments. 4. Properties. 5. Approximations, Bounds, and Transformations. 6. Computation and Tables. 7. Estimation. 8. Characterizations. 9. Applications. 10. Truncated and Misrecorded Poisson Distributions. 11. Poisson-Stopped-Sum Distributions. 12. Other Related Distributions -- 5. Negative Binomial Distribution. 1. Definition. 2. Geometric Distribution. 3. Historical Remarks and Genesis. 4. Moments. 5. Properties. 6. Approximations and Transformations. 7. Computation and Tables. 8. Estimation. 9. Characterizations. 10. Applications. 11. Truncated Negative Binomial Distributions. 12. Other Related Distributions -- ".
catalog description "6. Hypergeometric Distributions. 1. Definition. 2. Historical Remarks and Genesis. 3. Moments. 4. Properties. 5. Approximations and Bounds. 6. Tables and Computation. 7. Estimation. 8. Characterizations. 9. Applications. 10. Special Cases. 11. Extended Hypergeometric Distributions. 12. Other Related Distributions -- 7. Logarithmic Distribution. 1. Definition. 2. Historical Remarks and Genesis. 3. Moments. 4. Properties. 5. Approximations and Bounds. 6. Computation and Tables. 7. Estimation. 8. Characterizations. 9. Applications. 10. Truncated and Modified Logarithmic Distributions. 11. Other Related Distributions -- 8. Mixture Distributions. 1. Introduction. 2. Finite Mixtures of Discrete Distributions. 3. Continuous and Countable Mixtures of Discrete Distributions -- ".
catalog description "9. Generalized (Stopped-Sum) Distributions. 1. Introduction. 2. Damage Processes. 3. Poisson-Stopped-Sum Distributions: Generalized Poisson Distributions. 4. Hermite Distribution. 5. Poisson-Binomial Distribution. 6. Neyman Type A Distribution. 7. Polya-Aeppli Distribution. 8. Poisson-Pascal Distribution: Poisson-Negative Binomial Distribution, Generalized Polya-Aeppli Distribution. 9. Generalizations of the Neyman Type A Distribution. 10. Thomas Distribution. 11. Lagrangian Poisson Distribution: Shifted Borel-Tanner Distribution. 12. Other Families of Stopped-Sum Distributions -- 10. Matching, Occupancy, and Runs Distributions. 1. Introduction. 2. Probabilities of Combined Events. 3. Matching Distributions. 4. Occupancy Distributions. 5. Runs Distributions. 6. Distributions of Order k -- ".
catalog description "Addresses the latest advances in discrete distributions theory including the development of new distributions, new families of distributions and a better understanding of their interrelationships. Greater emphasis on the increasing relevance of Bayesian inference to discrete distribution, especially with regard to the binomial and Poisson distributions, is covered. All chapters have been revised to make them user-friendly and more up-to-date. Extensive information on new mixtures, including generalized hypergeometric families, and the increased use of the computer have been added. The bibliography is updated and expanded along with relevant chapter and section numbers.".
catalog description "Includes bibliographical references and index.".
catalog extent "xx, 565 p. ;".
catalog hasFormat "Univariate discrete distributions.".
catalog identifier "0471548979 (cloth)".
catalog isFormatOf "Univariate discrete distributions.".
catalog isPartOf "Wiley series in probability and mathematical statistics. Probability and mathematical statistics".
catalog issued "1992".
catalog issued "c1992.".
catalog language "eng".
catalog publisher "New York : Wiley,".
catalog relation "Univariate discrete distributions.".
catalog subject "Distribution (Probability theory)".
catalog subject "Probability Theory.".
catalog subject "QA273.6 .J64 1992".
catalog tableOfContents "1. Preliminary Information. A. Mathematical Preliminaries. B. Probability and Statistical Preliminaries. C. Computer Generation of Univariate Discrete Random Variables -- 2. Families of Discrete Distributions. 1. Lattice Distributions. 2. Power Series Distributions. 3. Difference Equation Systems. 4. Kemp Families. 5. Distributions Based on Lagrangian Expansions. 6. Factorial Series Distributions -- 3. Binomial Distribution. 1. Definition. 2. Historical Remarks and Genesis. 3. Moments. 4. Properties. 5. Order Statistics. 6. Approximations, Bounds, and Transformations. 7. Computation and Tables. 8. Estimation. 9. Characterizations. 10. Applications. 11. Truncated Binomial Distributions. 12. Other Related Distributions -- ".
catalog tableOfContents "11. Miscellaneous Discrete Distributions. 1. Absorption Distribution. 2. Dandekar's Modified Binomial and Poisson Distributions. 3. Digammma and Trigamma Distributions. 4. Discrete Ades Distribution. 5. Discrete Student's t-Distribution. 6. Geeta Distribution. 7. Gegenbauer Distribution: Negative Binomial[superscript *]Pseudo-Negative Binomial Convolution. 8. Gram-Charlier Type B Distributions. 9. "Interrupted" Distributions. 10. Lost-Games Distributions. 11. Naor's Distribution. 12. Partial-Sums Distributions. 13. Queueing Theory Distributions. 14. Record-Value Distributions. 15. Sichel Distribution: Poisson-Inverse Gaussian Distribution. 16. Skellam's Gene Frequency Distribution. 17. Steyn's Two-Parameter Power Series Distributions. 18. Univariate Multinomial-Type Distributions. 19. Urn Models with Stochastic Replacements. 20. Zipf and Zeta Distributions.".
catalog tableOfContents "4. Poisson Distribution. 1. Definition. 2. Historical Remarks and Genesis. 3. Moments. 4. Properties. 5. Approximations, Bounds, and Transformations. 6. Computation and Tables. 7. Estimation. 8. Characterizations. 9. Applications. 10. Truncated and Misrecorded Poisson Distributions. 11. Poisson-Stopped-Sum Distributions. 12. Other Related Distributions -- 5. Negative Binomial Distribution. 1. Definition. 2. Geometric Distribution. 3. Historical Remarks and Genesis. 4. Moments. 5. Properties. 6. Approximations and Transformations. 7. Computation and Tables. 8. Estimation. 9. Characterizations. 10. Applications. 11. Truncated Negative Binomial Distributions. 12. Other Related Distributions -- ".
catalog tableOfContents "6. Hypergeometric Distributions. 1. Definition. 2. Historical Remarks and Genesis. 3. Moments. 4. Properties. 5. Approximations and Bounds. 6. Tables and Computation. 7. Estimation. 8. Characterizations. 9. Applications. 10. Special Cases. 11. Extended Hypergeometric Distributions. 12. Other Related Distributions -- 7. Logarithmic Distribution. 1. Definition. 2. Historical Remarks and Genesis. 3. Moments. 4. Properties. 5. Approximations and Bounds. 6. Computation and Tables. 7. Estimation. 8. Characterizations. 9. Applications. 10. Truncated and Modified Logarithmic Distributions. 11. Other Related Distributions -- 8. Mixture Distributions. 1. Introduction. 2. Finite Mixtures of Discrete Distributions. 3. Continuous and Countable Mixtures of Discrete Distributions -- ".
catalog tableOfContents "9. Generalized (Stopped-Sum) Distributions. 1. Introduction. 2. Damage Processes. 3. Poisson-Stopped-Sum Distributions: Generalized Poisson Distributions. 4. Hermite Distribution. 5. Poisson-Binomial Distribution. 6. Neyman Type A Distribution. 7. Polya-Aeppli Distribution. 8. Poisson-Pascal Distribution: Poisson-Negative Binomial Distribution, Generalized Polya-Aeppli Distribution. 9. Generalizations of the Neyman Type A Distribution. 10. Thomas Distribution. 11. Lagrangian Poisson Distribution: Shifted Borel-Tanner Distribution. 12. Other Families of Stopped-Sum Distributions -- 10. Matching, Occupancy, and Runs Distributions. 1. Introduction. 2. Probabilities of Combined Events. 3. Matching Distributions. 4. Occupancy Distributions. 5. Runs Distributions. 6. Distributions of Order k -- ".
catalog title "Univariate discrete distributions / by Norman L. Johnson, Samuel Kotz, Adrienne Kemp.".
catalog type "text".