Univariate Discrete Distributions (eBook)

Norman L. Johnson, Adrienne W. Kemp, Samuel Kotz (Autoren)

eBook Download: PDF

2005 | 3. Auflage
688 Seiten
John Wiley & Sons (Verlag)
978-0-471-71580-1 (ISBN)

Infos

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.

Autor

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.

Inhalt

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-SeriesDistributions.

11. Parametric Regression Models and Miscellanea.

Bibliography.

Abbreviations.

Index.

Rezensionen

"With its thorough coverage and balanced presentation of
theory and application, this is an excellent and essential
reference for statisticians and mathematicians."
(Xolosepo, 27 October 2012)
"The authors continue to do a praise-worthy job of making the
material accessible in the third edition. This book should be on
every library's shelf." (Journal of the American Statistical
Association, September 2006)

"These authors have achieved considerable renown for their
comprehensive books on statistical distributions."
(Technometrics, August 2006)

"Encyclopedic in nature, the book continues to be a valuable
reference." (Mathematical Reviews, 2006d)

"This is an important book that should be part of every
statistician's library." (MAA Reviews, January 2, 2006)

Produkt-Details

• Erscheint lt. Verlag: 3.10.2005
• Reihe/Serie: Wiley Series in Probability and Statistics
• Reihe/Serie: Wiley Series in Probability and Statistics
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Statistik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Themenwelt: Technik
• Schlagworte: Probability & Mathematical Statistics • Statistics • Statistik • Wahrscheinlichkeitsrechnung u. mathematische Statistik
• ISBN-10: 0-471-71580-8 / 0471715808
• ISBN-13: 978-0-471-71580-1 / 9780471715801