Univariate Discrete Distributions

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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.

Autor*in

Norman L. Johnson

Themen in »Univariate Discrete Distributions«

Probability & Mathematical Statistics Statistics Statistik Wahrscheinlichkeitsrechnung u. mathematische Statistik

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"With its thorough coverage and balanced presentation oftheory and application, this is an excellent and essentialreference for statisticians and mathematicians." (Xolosepo, 27 October 2012)"The authors continue to do a praise-worthy job of making thematerial accessible in the third edition. This book should be onevery library's shelf." (Journal of the American StatisticalAssociation, September 2006) "These authors have achieved considerable renown for theircomprehensive books on statistical distributions."(Technometrics, August 2006) "Encyclopedic in nature, the book continues to be a valuablereference." (Mathematical Reviews, 2006d) "This is an important book that should be part of everystatistician's library." (MAA Reviews, January 2, 2006)
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