BEYOND BETA
Other Continuous Families of Distributions with Bounded Support and Applications
by Samuel Kotz (The George Washington University, USA) & Johan René van Dorp (The George Washington University, USA)
Table of Contents (114k)
Preface (165k)
Chapter 1: The Triangular Distribution (821k)
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.
Refer to http://www.seas.gwu.edu/~dorpjr/tab4/publications_book.html for data files for the BEYOND BETA book and software programs for the maximum likelihood procedures.
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