Solving a Functional Equation and Characterizing Distributions by Quantile Past Lifetime Functions

Shafaei Noughabi Mohammad ()
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Shafaei Noughabi Mohammad: Mathematics and Statistics, University of Gonabad, Iran

Stochastics and Quality Control, 2016, vol. 31, issue 1, 55-58

Abstract: In this paper, a special case of Schröder's functional equation is solved. Then, the general solution of the equation is utilized to determine the class of distributions by their α-quantile past lifetime function.

Keywords: Characterization; Quantile Past Lifetime Function; Schröder's Functional Equation (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1515/eqc-2015-0017

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