Some Reliability and Other Properties of Beta-Transformed Random Variables

Abstract The reliability properties of beta-transformed random variables are discussed. A necessary and sufficient condition for a beta-transformed geometric random variable to follow a power series distribution is derived. It is shown that a beta-transformed member of the Katz family does not belong to the Katz family unless it is a geometric distribution, thereby getting a characterization.

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Year of publication:	2018
Authors:	Sreehari, M. ; Sandhya, E. ; Mohamed Akbar, V. K.
Published in:	Stochastics and Quality Control. - De Gruyter, ISSN 2367-2404, ZDB-ID 2905267-1. - Vol. 33.2018, 2, p. 83-92
Publisher:	De Gruyter
Subject:	Beta Transformation \| Infinite Divisibility \| Geometric Infinite Divisibility \| Characterization of Geometric Distribution \| Hazard Rate \| Power Series Distribution \| Katz Family \| Entropy

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Type of publication:	Article
Language:	Undetermined
Other identifiers:	10.1515/eqc-2018-0017 [DOI]
Source:	Other ZBW resources

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