Continuous Bivariate Distributions

Continuous Bivariate Distributions

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This volume, which is completely dedicated to continuous bivariate dist butions, describes in detail their forms, properties, dependence structures, computation, and applications. It is a comprehensive and thorough revision ofanearliereditionof'ContinuousBivariateDistributions, Emphasizing plications' by T.P. Hutchinson and C.D. Lai, published in 1990 by Rumsby Scienti?c Publishing, Adelaide, Australia. It has been nearly two decades since the publication of that book, and much has changed in this area of research during this period. Generali tions have been considered for many known standard bivariate distributions. Skewed versions of di?erent bivariate distributions have been proposed and appliedtomodeldatawithskewnessdepartures.Byspecifyingthetwocon tional distributions, rather than the simple speci?cation of one marginal and one conditional distribution, several general families of conditionally spe ?ed bivariate distributions have been derived and studied at great length. Finally, bivariate distributions generated by a variety of copulas and their ?exibility (in terms of accommodating association/correlation) and str tural properties have received considerable attention. All these developments andadvancesnecessitatedthepresentvolumeandhavethusresultedinas stantially di?erent version than the last edition, both in terms of coverage and topics of discussion.

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