Discrete Multivariate Distributions

This book is an expanded and updated version of Chapter 11 of Distributions in Statistics: Discrete Distributions, written by Norman L. Johnson and Samuel Kotz in 1969. It provides detailed explanations of discrete multivariate distributions, including their properties and usefulness.

Timely, comprehensive, practical--an important working resource forall who use this critical statistical method Discrete Multivariate Distributions is the only comprehensive,single-source reference for this increasingly important statisticalsubdiscipline. It covers all significant advances that haveoccurred in the field over the past quarter century in the theory,methodology, computational procedures, and applications of discretemultivariate distributions in a wide range of disciplines.Distributions covered include multinomial, binomial, negativebinomial, Poisson, power series, hypergeometric, Polya-Eggenberger,Ewens, orders, and some families of distributions. Eachdistribution is presented in its own chapter, along with necessarydetails and descriptions of real-world applications gleaned fromthe current literature on discrete multivariatedistributions. Discrete Multivariate Distributions is the fourth volume of theongoing revision of Johnson and Kotz's acclaimed Distributions inStatistics--universally acknowledged to be the definitive work onstatistical distributions. Originally planned as a revision ofChapter 11 of that classic, this project soon blossomed into asubstantial volume as a result of the unprecedented growth that hasoccurred in the literature on discrete multivariate distributionsand their applications over the past quarter century. The only comprehensive, single-volume work on the subject, thisvaluable reference affords statisticians direct access to all ofthe latest developments concerning discrete multivariatedistributions. Concentrating primarily on areas of interest totheoretical as well as applied statisticians, the authors providecomplete coverage of several important discrete multivariatedistributions. These include multinomial, binomial, negativebinomial, Poisson, power series, hypergeometric, Polya-Eggenberger,Ewens, orders, and some families of distributions. Discrete Multivariate Distributions begins with a general overviewof the multivariate method in which the authors lay the basictheoretical groundwork for the discussions that follow. For clarityand consistency, subsequent chapters follow a similar format,beginning with a concise historical account followed by adiscussion of properties and characteristics. Coverage thenadvances to in-depth explorations of inferential issues andapplications, liberally supplemented with helpful details and acollection of real-world applications obtained from the authors'extensive searches of current literature worldwide. Discrete Multivariate Distributions is an essential workingresource for researchers, professionals, practitioners, andgraduate students in statistics, mathematics, computer science,engineering, medicine, and the biological sciences.