Some Reliability and Other Properties of Beta-Transformed Random Variables

Sreehari M. (), Sandhya E. () and Mohamed Akbar V. K. ()
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Sreehari M.: M. S. University of Baroda, Vadodara, India
Sandhya E.: Department of Statistics, Prajyoti Niketan College, Pudukkadâ680301, India
Mohamed Akbar V. K.: Department of Statistics, St. Thomas College, Palaâ686574, India

Stochastics and Quality Control, 2018, vol. 33, issue 2, 83-92

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.

Keywords: Beta Transformation; Infinite Divisibility; Geometric Infinite Divisibility; Characterization of Geometric Distribution; Hazard Rate; Power Series Distribution; Katz Family; Entropy (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1515/eqc-2018-0017

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