Author : Samuel Kotz
Release : 2004
Genre : Mathematics
Kind : eBook
Book Rating : 153/5 ( reviews)
Book Synopsis Beyond Beta by : Samuel Kotz
Download or read book Beyond Beta written by Samuel Kotz. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: 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.