Some Characterization Results Based on Dynamic Survival and Failure Entropies

다국어 초록 (Multilingual Abstract)

In this paper, we develop some characterization results in terms of survival entropy of the first order statistic. In addition, we generalize the cumulative entropy recently proposed by Di Crescenzo and Logobardi (2009) to a new measure of information (called the failure entropy) and study some properties of it and its dynamic version. Furthermore, power distribution is characterized based on dynamic failure entropy.

참고문헌 (Reference)

1 Zografos, K, "Survival exponential entropies" 51 : 1239-1246, 2005

2 Nanda, A. K, "Some properties of past entropy and their applications" 64 : 47-61, 2006

3 Baratpour, S., "Some characterization based on Renyi entropyof order statistics and record values" 138 : 2544-2551, 2008

4 Abraham, B, "Renyi’s entropy for residual lifetime distribution" 46 : 17-30, 2005

5 Nanda, A. K., "Reliability properties of reversed residuallifetime" 32 : 2031-2042, 2003

6 David, H. A, "Order Statistics" John Wiley & Sons 2003

7 Abbasnejad, M, "Onthe dynamic survival entropy" 80 : 1962-1971, 2010

8 Asadi, M, "On the dynamic cumulative residual entropy" 137 : 1931-1941, 2007

9 R´enyi,A, "On measures of entropy and information, In Proceeding of the Fourth BerkeleySymposium" UC Press 547-561, 1961

10 Di Crescenzo, A, "On cumulative entropies" 139 : 4072-4087, 2009

11 Wang, F, "Non-rigid multi-model image registration using cross-cumulativeresidual entropy" 74 : 201-215, 2007

12 Rao,M, "More on a new concept of entropy and information" 18 : 967-981, 2005

13 Ebrahimi,N, "How to measure uncertainty in the residual lifetime distributions" 58 : 48-57, 1996

14 Di Crescenzo, A, "Entropy-based measure of uncertainty in past lifetimedistributions" 39 : 434-440, 2002

15 Asadi, M., "Dynamic generalized information measures" 71 : 85-98, 2005

16 Rao, M., "Cumulative residual entropy: A new measureof information" 50 : 1220-1228, 2004

17 Kamps,U, "Characterizations of distributions by recurrence relations and identities for mo-ments of order statistics, In Order Statistics: Theory and Methods. Handbook of Statistics" Elsevier 291-311, 1998

18 Baratpour,S, "Characterizations based on cumulative residual entropy of first order statistics" 39 : 3645-3651, 2010

19 Gertsbakh, I, "Characterization of the Weibull distribution by properties of theFisher information under type I censoring" 42 : 99-105, 1999

20 Di Crescenzo, A, "A measure of discrimination between past lifetimedistributions" 67 : 173-182, 2004

21 Shannon,C.E, "A mathematical theory of communication" 27 : 379-423, 1948

22 Zheng,G, "A characterization of the factorization of hazard function by the Fisher informationunder type II censoring with application to theWeibull family" 52 : 249-253, 2001

23 Arnold, B. C., "A First Course in Order Statistics" JohnWiley & Sons 1992