Johnson / Kemp / Kotz Univariate Discrete Distributions

3. Auflage 2005
ISBN: 978-0-471-71580-1
Verlag: John Wiley & Sons
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 688 Seiten, E-Book

Reihe: Wiley Series in Probability and Statistics

This Set Contains:
Continuous Multivariate Distributions, Volume 1, Models andApplications, 2nd Edition by Samuel Kotz, N. Balakrishnan andNormal L. Johnson
Continuous Univariate Distributions, Volume 1, 2nd Editionby Samuel Kotz, N. Balakrishnan and Normal L. Johnson
Continuous Univariate Distributions, Volume 2, 2nd Editionby 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 SamuelKotz, N. Balakrishnan and Normal L. Johnson
Discover the latest advances in discrete distributionstheory
The Third Edition of the critically acclaimedUnivariate Discrete Distributions provides a self-contained,systematic treatment of the theory, derivation, and application ofprobability distributions for count data. Generalized zeta-functionand q-series distributions have been added and are covered indetail. New families of distributions, including Lagrangian-typedistributions, are integrated into this thoroughly revised andupdated text. Additional applications of univariate discretedistributions are explored to demonstrate the flexibility of thispowerful method.
A thorough survey of recent statistical literature drawsattention to many new distributions and results for the classicaldistributions. Approximately 450 new references along with severalnew sections are introduced to reflect the current literature andknowledge of discrete distributions.
Beginning with mathematical, probability, and statisticalfundamentals, the authors provide clear coverage of the key topicsin 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 ofBayesian inference to discrete distribution, especially with regardto the binomial and Poisson distributions. New derivations ofdiscrete distributions via stochastic processes and random walksare introduced without unnecessarily complex discussions ofstochastic processes. Throughout the Third Edition, extensiveinformation has been added to reflect the new role ofcomputer-based applications.
With its thorough coverage and balanced presentation of theoryand application, this is an excellent and essential reference forstatisticians and mathematicians.

Autoren/Hrsg.

Johnson, Norman L.

Kemp, Adrienne W.

Kotz, Samuel

Inhaltsverzeichnis

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.

Über Autor(innen)

NORMAN L. JOHNSON, PHD, was Professor Emeritus, Departmentof Statistics, University of North Carolina at Chapel Hill. Dr.Johnson was Editor-in-Chief (with Dr. Kotz) of the Encyclopediaof Statistical Sciences, Second Edition (Wiley).
ADRIENNE W. KEMP, PHD, is Honorary Senior Lecturer at theMathematical Institute, University of St. Andrews in Scotland.
SAMUEL KOTZ, PHD, is Professor and Research Scholar,Department of Engineering Management and Systems Engineering, TheGeorge Washington University in Washington, DC.