نهمین کنفرانس آمار ایران , 2008-08-20

Title : ( Some Results on Dynamic Renyi Entropy )

Authors: Maliheh Abbasnezhad Mashhadi ,

Citation: BibTeX | EndNote

Abstract

This paper examines the role of R{e}nyi entropy in ordering distributions and establishes a relation between R{e}nyi entropy ordering of distributions and a strong ordering known as dispersion ordering. It is also shown that R{e}nyi entropy of continuous transformations behave similar to variance and Shannon entropy. Further, we investigate R{e}nyi entropy ordering of location-scale and shape-scale families. The results are conveniently tabulated in terms of distribution parameters. If a system is known to have survived to age t, then R\'{e}nyi entropy is no longer useful for measuring the uncertainty about the remaining lifetime of a system. Asadi textit{et al.} (2005) defined dynamic R{e}nyi entropy which measures the uncertainty about the remaining lifetime of a system of age t. We present a bound for dynamic R\'{e}nyi entropy of a system in terms of mean residual life function. Then some conditions are stated under which R{e}nyi entropy of a residual lifetime distribution is monotone. We give sufficient conditions for a function phi(X) of a random variable X to have more (less) dynamic R{e}nyi entropy than X itself.

Keywords

Dynamic Renyi Entropy; Life Distributions; Mean Residual Life Function; Ordering Relations
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@inproceedings{paperid:1009855,
author = {Abbasnezhad Mashhadi, Maliheh},
title = {Some Results on Dynamic Renyi Entropy},
booktitle = {نهمین کنفرانس آمار ایران},
year = {2008},
location = {اصفهان, IRAN},
keywords = {Dynamic Renyi Entropy; Life Distributions; Mean Residual Life Function; Ordering Relations},
}

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%0 Conference Proceedings
%T Some Results on Dynamic Renyi Entropy
%A Abbasnezhad Mashhadi, Maliheh
%J نهمین کنفرانس آمار ایران
%D 2008

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