Beyond Beta: Other Continuous Families of Distributions with Bounded Support and ApplicationsWorld Scientific, 2004 - 289 Seiten 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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Beyond Beta: Other Continuous Families of Distributions with Bounded Support ... Samuel Kotz,Johan Ren Van Dorp Eingeschränkte Leseprobe - 2004 |
Beyond Beta: Other Continuous Families Of Distributions With Bounded Support ... Samuel Kotz,Johan Rene Van Dorp Eingeschränkte Leseprobe - 2004 |
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