On cumulative residual entropy of order statistics

Sangun Park; Ilmun Kim

doi:10.1016/j.spl.2014.07.020

On cumulative residual entropy of order statistics

Sangun Park, Ilmun Kim

Department of Applied Statistics

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

Cumulative residual entropy has been proposed by Rao etal. (2004). In this paper, we first show a representation of the cumulative residual entropy of the first r order statistics as a single integral. Then we provide some related results including recurrence relations, identity and characterization property.

Original language	English
Pages (from-to)	170-175
Number of pages	6
Journal	Statistics and Probability Letters
Volume	94
DOIs	https://doi.org/10.1016/j.spl.2014.07.020
Publication status	Published - 2014 Nov 1

Bibliographical note

Funding Information:
The authors are grateful to anonymous referees and an associate editor for making some useful comments on an earlier version of this manuscript. This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (No. 2011-0029104 ) and the Korea government (MEST) (No. 2012-004905 ).

Publisher Copyright:
© 2014 Elsevier B.V..

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1016/j.spl.2014.07.020

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author = "Sangun Park and Ilmun Kim",

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AU - Kim, Ilmun

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PY - 2014/11/1

Y1 - 2014/11/1

N2 - Cumulative residual entropy has been proposed by Rao etal. (2004). In this paper, we first show a representation of the cumulative residual entropy of the first r order statistics as a single integral. Then we provide some related results including recurrence relations, identity and characterization property.

AB - Cumulative residual entropy has been proposed by Rao etal. (2004). In this paper, we first show a representation of the cumulative residual entropy of the first r order statistics as a single integral. Then we provide some related results including recurrence relations, identity and characterization property.

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On cumulative residual entropy of order statistics

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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