Abstract #301355

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JSM 2003 Abstract #301355
Activity Number: 93
Type: Contributed
Date/Time: Monday, August 4, 2003 : 8:30 AM to 10:20 AM
Sponsor: General Methodology
Abstract - #301355
Title: The Beta pdf: Revisited
Author(s): Dovalee Dorsett*+ and Patrick L. Odell
Companies: Baylor University and Baylor University
Address: PO Box 98005, Waco, TX, 76798-8005,
Keywords: Beta pdf ; variance upper bounds ; modeling ; statistical consulting
Abstract:

The random variable Z distributed as Beta(v,w;0,1) defines a standardized variate basic for creating other Beta random variables of the form X=(b-a)Z+a whose pdf is Beta(v,w;a,b). Sets of least favorable density functions of various sets are computed using several variance upper bounds. It is argued that the Beta pdfs and the upper bounds are useful tools in mathematical modeling and statistical consulting activities. Several numerical examples are presented.

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