Description

Book Synopsis
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.

Table of Contents
The Triangular Distribution; Some Early Extensions of the Triangular Distribution; The Standard Two-Sided Power Distribution; The Two-Sided Power Distribution; The Generalized Trapezoidal Distribution; Uneven Two-Sided Power Distributions; The Reflected Generalized Topp and Leone Distribution; A Generalized Framework for Two-Sided Distributions.

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

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    A Hardback by Samuel Kotz, Johan Rene Van Dorp

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      Book details

      Publisher World Scientific Publishing Co Pte Ltd
      Published 9 December 2004
      ISBN-13 9789812561152
      978-9812561152
      ISBN-10 9812561153
      Also in:
      Probability and statistics

      Description

      Book Synopsis
      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.

      Table of Contents
      The Triangular Distribution; Some Early Extensions of the Triangular Distribution; The Standard Two-Sided Power Distribution; The Two-Sided Power Distribution; The Generalized Trapezoidal Distribution; Uneven Two-Sided Power Distributions; The Reflected Generalized Topp and Leone Distribution; A Generalized Framework for Two-Sided Distributions.

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