SOME NEW RESULTS ON RÉNYI ENTROPY OF RESIDUAL LIFE AND INACTIVITY TIME

Author:

Li Xiaohu,Zhang Shuhong

Abstract

This article deals with Rényi entropies for the residual life and the inactivity time. Monotonic properties of the entropy in order statistics, record values, and weighted distributions are investigated, and the comparison on weighted random variables is studied in terms of residual Rényi entropy as well.

Publisher

Cambridge University Press (CUP)

Subject

Industrial and Manufacturing Engineering,Management Science and Operations Research,Statistics, Probability and Uncertainty,Statistics and Probability

Reference25 articles.

1. Rényi information, loglikelihood and an intrinsic distribution measure

2. 23. Rényi A. (1961). On measures of entropy and information. In proceeding of the fourth Berkeley symposium on Mathematical Statistics and Probability, Vol. I. Berkeley: University of California Press, pp. 547–561.

3. On the dimension and entropy of probability distributions

4. On discrete distributions arising out of methods of ascertainment;Rao;Sankhya Series A,1965

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