Dr.
Johan René van Dorp Professor |
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Journals & Other: Book |
Book: Beyond Beta Published 1. Samuel Kotz and J. R. van Dorp (2004). "Beyond Beta, Other Continuous Families of Distributions with Bounded Support and Applications", World Scientific Press, Singapore. 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. Software: Data Files
used in the book in conjuction with MLE_Calculator.Exe: Chapter 3 - Beyond Beta Data Equation 3_4.txt Chapter 6 - Beyond Beta Data Equation 6_46.txt Excelspreadsheets:
Spreadsheet with Interest
Rate Data used in Chapter 3: Spreadsheet to plot
Generalized Trapezoidal Distributions: Spreadsheet with Certificate
Deposit Rate Data used in Chapter 6: Spreadsheet to plot
Reflected Generalized Topp Leone (RGTL) Distributions: Spreadsheet with 2001
US income data and RGTL ML procedure used in Chapter 7: Page 1 of 2 Next
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