Univariate Discrete Distributions Johnson, Norman L., Kotz, Samuel, Kemp, Adrie
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Synopsis
The Third Edition addresses the latest advances in discrete distributions theory including the development of new distributions (e.g., q-series and generalized zeta-function distributions), new families of distributions (e.g., Lagrangian-type distributions) and a better understanding of their interrelationships, both theoretically and practically. New derivations of discrete distributions via stochastic processes and random walks are now introduced without turning the book into a treatise on stochastic processes. Emphasis continues to be placed on the increasing relevance of Bayesian inference to a discrete distribution, especially with regard to the binomial and Poisson distributions. All chapters have been updated to make them user-friendly and coherent. Extensive information on the increased use of the computer has been added. Methodologies for general use have priority over specific cases. The bibliography is revised and expanded along with relevant chapter and section numbers. The mathematical level has not been changed or compromised.This Set Contains: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.
Product Identifiers
ISBN-10
0471272469
ISBN-13
9780471272465
Key Details
Author
Adrienne W. Kemp, Norman L. Johnson, Samuel Kotz
Number Of Pages
672 pages
Edition Description
Revised
Series
Wiley Series in Probability and Statistics
Format
EBOOK
Publication Date
2005-08-30
Language
English
Publisher
Wiley & Sons, Incorporated, John
Publication Year
2005
Additional Details
Series Volume Number
444
Edition Number
3
Copyright Date
2005
Illustrated
Yes
Target Audience
Group
Scholarly & Professional
Classification Method
LCCN
2005-019970
LC Classification Number
QA273.6
Dewey Decimal
519.24
Dewey Edition
22
Table Of Content
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.
Reviews
"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)"The authors continue to do a praise-worthy job of making the material accessible in the third edition. This book should be on every librarys 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 statisticians library." ( MAA Reviews , January 2, 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)"This is an important book that should be part of every statistician's library." ("MAA Reviews," January 2, 2006)?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)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 praiseworthy job of making the material accessible in the third edition. This book should be on every librarys 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 statisticians library." ( MAA Reviews , January 2, 2006)
Synopsis
The Third Edition addresses the latest advances in discrete distributions theory including the development of new distributions (e.g., q-series and generalized zeta-function distributions), new families of distributions (e.g., Lagrangian-type distributions) and a better understanding of their interrelationships, both theoretically and practically. New derivations of discrete distributions via stochastic processes and random walks are now introduced without turning the book into a treatise on stochastic processes. Emphasis continues to be placed on the increasing relevance of Bayesian inference to a discrete distribution, especially with regard to the binomial and Poisson distributions. All chapters have been updated to make them user-friendly and coherent. Extensive information on the increased use of the computer has been added. Methodologies for general use have priority over specific cases. The bibliography is revised and expanded along with relevant chapter and section numbers. The mathematical level has not been changed or compromised.This Set Contains: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.
Product Identifiers
ISBN-10
0471272469
ISBN-13
9780471272465
Key Details
Author
Adrienne W. Kemp, Norman L. Johnson, Samuel Kotz
Number Of Pages
672 pages
Edition Description
Revised
Series
Wiley Series in Probability and Statistics
Format
EBOOK
Publication Date
2005-08-30
Language
English
Publisher
Wiley & Sons, Incorporated, John
Publication Year
2005
Additional Details
Series Volume Number
444
Edition Number
3
Copyright Date
2005
Illustrated
Yes
Target Audience
Group
Scholarly & Professional
Classification Method
LCCN
2005-019970
LC Classification Number
QA273.6
Dewey Decimal
519.24
Dewey Edition
22
Table Of Content
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.
Reviews
"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)"The authors continue to do a praise-worthy job of making the material accessible in the third edition. This book should be on every librarys 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 statisticians library." ( MAA Reviews , January 2, 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)"This is an important book that should be part of every statistician's library." ("MAA Reviews," January 2, 2006)?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)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 praiseworthy job of making the material accessible in the third edition. This book should be on every librarys 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 statisticians library." ( MAA Reviews , January 2, 2006)