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.
Содержание
Preface.
1. Preliminary Information.
2. Families of Discrete Distributions.
3. Binomial Distributions.
4. Poisson Distributions.
5. Neggative Binomial Distributions.
6. Hypergeometric Distributions.
7. Logarithmic and Lagrangian Distributions.
8. Mixture Distributions.
9. Stopped-Sum Distributions.
10. Matching, Occupancy, Runs, and q-Series Distributions.
11. Parametric Regression Models and Miscellanea.
Bibliography.
Abbreviations.
Index.
Об авторе
NORMAN L. JOHNSON, PHD, was Professor Emeritus, Department
of Statistics, University of North Carolina at Chapel Hill. Dr.
Johnson was Editor-in-Chief (with Dr. Kotz) of the Encyclopedia
of Statistical Sciences, Second Edition (Wiley).
ADRIENNE W. KEMP, PHD, is Honorary Senior Lecturer at the
Mathematical Institute, University of St. Andrews in Scotland.
SAMUEL KOTZ, PHD, is Professor and Research Scholar,
Department of Engineering Management and Systems Engineering, The
George Washington University in Washington, DC.
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