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

Solving a Functional Equation and Characterizing Distributions by Quantile Past Lifetime Functions 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Economic Quality Control de Gruyter

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

Economic Quality Control , Volume 31 (1) – Jun 1, 2016

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Publisher
de Gruyter
Copyright
Copyright © 2016 by the
ISSN
0940-5151
eISSN
1869-6147
DOI
10.1515/eqc-2015-0017
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Economic Quality Controlde Gruyter

Published: Jun 1, 2016

References