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SOME EXTENSIONS OF THE RESIDUAL LIFETIME AND ITS CONNECTION TO THE CUMULATIVE RESIDUAL ENTROPY

Published online by Cambridge University Press:  17 November 2011

Stella Kapodistria  and
Georgios Psarrakos
Stella Kapodistria
Affiliation:
Department of Mathematics and Computer Science & Eurandom, Eindhoven University of Technology, The Netherlands E-mail: s.kapodistria@tue.nl
Georgios Psarrakos
Affiliation:
Department of Statistics and Insurance Science, University of Piraeus, Athens, Greece E-mail: gpsarr@unipi.gr
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Abstract

In this article we present a sequence of random variables with weighted tail distribution functions, constructed based on the relevation transform. For this sequence, we prove several recursive formulas and connections to the residual entropy through the unifying framework of the Dickson–Hipp operator. We also give some numerical examples to evaluate our results.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 26 , Issue 1 , January 2012 , pp. 129 - 146
Copyright
Copyright © Cambridge University Press 2011

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