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Beyond Beta

Other Continuous Families Of Distributions With Bounded Support And Applications

Beyond Beta by Samuel Kotz
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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 field — univariate continuous distribution on a bounded domain, excluding the beta distribution. It provides an elementary but thorough discussion of ''novel'' contributions developed in recent years, such as the two-sided power, generalized trapezoidal and generalized Topp and Leone distributions, among others. It discusses a general framework for constructing two-sided distributions and some of its properties. It contains a comprehensive chapter on the triangular distribution as well as a chapter on earlier extensions not emphasized in existing literature. Special attention is given to estimation, in particular, non-standard maximum likelihood procedures. The applications are drawn mainly from the econometric and engineering domains.

World Scientific Publishing Company; December 2004
307 pages; ISBN 9789814481243
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Title: Beyond Beta
Author: Samuel Kotz ; Johan René Dorp