Univariate Discrete Distributions - Couverture rigide

Johnson, Norman L.; Kotz, Samuel; Kemp, A.

 
9780471548973: Univariate Discrete Distributions

Synopsis

This revised edition explores new advances in discrete distribution theory, including the development of new distributions, new families of distributions and a better understanding of their interrelationships. Material on hypergeometric families and the use of computers are included.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This Set Contains:
Continuous Multivariate Distributions, Volume 1, Models and Applications, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson
Continuous Univariate Distributions, Volume 1, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson
Continuous Univariate Distributions, Volume 2, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson
Discrete Multivariate Distributions by Samuel Kotz, N. Balakrishnan and Normal L. Johnson
Univariate Discrete Distributions, 3rd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson

Discover the latest advances in discrete distributions theory

The Third Edition of the critically acclaimed Univariate Discrete Distributions provides a self–contained, systematic treatment of the theory, derivation, and application of probability distributions for count data. Generalized zeta–function and q–series distributions have been added and are covered in detail. New families of distributions, including Lagrangian–type distributions, are integrated into this thoroughly revised and updated text. Additional applications of univariate discrete distributions are explored to demonstrate the flexibility of this powerful method.

A thorough survey of recent statistical literature draws attention to many new distributions and results for the classical distributions. Approximately 450 new references along with several new sections are introduced to reflect the current literature and knowledge of discrete distributions.

Beginning with mathematical, probability, and statistical fundamentals, the authors provide clear coverage of the key topics in the field, including:

  • Families of discrete distributions
  • Binomial distribution
  • Poisson distribution
  • Negative binomial distribution
  • Hypergeometric distributions
  • Logarithmic and Lagrangian distributions
  • Mixture distributions
  • Stopped–sum distributions
  • Matching, occupancy, runs, and q–series distributions
  • Parametric regression models and miscellanea

Emphasis continues to be placed on the increasing relevance of Bayesian inference to discrete distribution, especially with regard to the binomial and Poisson distributions. New derivations of discrete distributions via stochastic processes and random walks are introduced without unnecessarily complex discussions of stochastic processes. Throughout the Third Edition, extensive information has been added to reflect the new role of computer–based applications.

With its thorough coverage and balanced presentation of theory and application, this is an excellent and essential reference for statisticians and mathematicians.

Quatrième de couverture

Discover the latest advances in discrete distributions theory

The Third Edition of the critically acclaimed Univariate Discrete Distributions provides a self–contained, systematic treatment of the theory, derivation, and application of probability distributions for count data. Generalized zeta–function and q–series distributions have been added and are covered in detail. New families of distributions, including Lagrangian–type distributions, are integrated into this thoroughly revised and updated text. Additional applications of univariate discrete distributions are explored to demonstrate the flexibility of this powerful method.

A thorough survey of recent statistical literature draws attention to many new distributions and results for the classical distributions. Approximately 450 new references along with several new sections are introduced to reflect the current literature and knowledge of discrete distributions.

Beginning with mathematical, probability, and statistical fundamentals, the authors provide clear coverage of the key topics in the field, including:

  • Families of discrete distributions
  • Binomial distribution
  • Poisson distribution
  • Negative binomial distribution
  • Hypergeometric distributions
  • Logarithmic and Lagrangian distributions
  • Mixture distributions
  • Stopped–sum distributions
  • Matching, occupancy, runs, and q–series distributions
  • Parametric regression models and miscellanea

Emphasis continues to be placed on the increasing relevance of Bayesian inference to discrete distribution, especially with regard to the binomial and Poisson distributions. New derivations of discrete distributions via stochastic processes and random walks are introduced without unnecessarily complex discussions of stochastic processes. Throughout the Third Edition, extensive information has been added to reflect the new role of computer–based applications.

With its thorough coverage and balanced presentation of theory and application, this is an excellent and essential reference for statisticians and mathematicians.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780471272465: Univariate Discrete Distrbutions

Edition présentée

ISBN 10 :  0471272469 ISBN 13 :  9780471272465
Editeur : Wiley-Interscience, 2005
Couverture rigide