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Samuel Kotz, Johan Rene van Dorp, "Beyond Beta: Other Continuous Families Of Distributions With Bounded Support And Applications"
Publisher: World Scientific Publishing Company | 2004-12-31 | ISBN 9812561153 | PDF | 308 pages | 9.99 MB
Statistical distributions are fundamental to statistical science and are a prime indispensable tool for its applications. This monograph is the first to examine an important but somewhat neglected area in this field €” univariate continuous distributions on a bounded domain, excluding the beta distribution. It provides an elementary but thorough discussion of "novel" contributions developed in recent years and some of their applications. It contains a comprehensive chapter on the triangular distribution as well as a chapter on earlier extensions of this distribution not emphasized in existing statistical literature. Special attention is given to estimation, in particular, non-standard maximum likelihood procedures.