Beyond Beta

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  • Beyond Beta Book Detail

  • Author : Samuel Kotz
  • Release Date : 2004
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 308
  • ISBN 13 : 9812561153
  • File Size : 19,19 MB

Beyond Beta by Samuel Kotz PDF Summary

Book Description: 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.

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