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.
Bibliographical noteFunding 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 ).
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty