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

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A01=Johan Rene Van Dorp
A01=Samuel Kotz
Author_Johan Rene Van Dorp
Author_Samuel Kotz
Beta Distribution
Category=PBT
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Financial Time Series
Income Comparisons
Input Distribution Modeling
Trapezoidal Distribution
Triangular Distribution
Two-Sided Distribution

Product details

  • ISBN 9789812561152
  • Publication Date: 09 Dec 2004
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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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.

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