Beyond Beta: Other Continuous Families Of Distributions With Bounded Support And Applications

by Samuel Kotz and Johan Rene Van Dorp

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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.
  • ISBN13 9789812561152
  • Publish Date 9 December 2004 (first published 1 January 2004)
  • Publish Status Active
  • Publish Country SG
  • Imprint World Scientific Publishing Co Pte Ltd