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Beyond Beta: Other Continuous Families of Distributions with Bounded Support and Applications (en Inglés)
Samuel Kotz
(Autor)
·
Johan Rene Van Dorp
(Autor)
·
World Scientific Publishing Company
· Tapa Dura
Beyond Beta: Other Continuous Families of Distributions with Bounded Support and Applications (en Inglés) - Kotz, Samuel ; Van Dorp, Johan Rene
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Reseña del libro "Beyond Beta: Other Continuous Families of Distributions with Bounded Support and Applications (en Inglés)"
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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