Browse > Article
http://dx.doi.org/10.5351/CKSS.2011.18.6.787

Some Characterization Results Based on Dynamic Survival and Failure Entropies  

Abbasnejad, Maliheh (Department of Statistics, School of Mathematical Sciences, Ferdowsi University of Mashhad)
Publication Information
Communications for Statistical Applications and Methods / v.18, no.6, 2011 , pp. 787-798 More about this Journal
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.
Keywords
First order statistic; power distribution; mean past life function; reversed Hazard function;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Kamps, U. (1998). Characterizations of distributions by recurrence relations and identities for moments of order statistics, In Order Statistics: Theory and Methods. Handbook of Statistics, Balakrishnan, N., Rao, C. R., Eds. 16, Amesterdam: Elsevier, 291-311.
2 Nanda, A. K. and Paul, P. (2006). Some properties of past entropy and their applications, Metrika, 64, 47-61.   DOI
3 Nanda, A. K., Singh, H., Misra, N. and Paul, P. (2003). Reliability properties of reversed residual lifetime, Communications in Statistics: Theory and Methods, 32, 2031-2042.   DOI   ScienceOn
4 Rao, M. (2005). More on a new concept of netropy and information, Journal of Theoretical Probability, 18, 967-981.   DOI
5 Rao, M., Chen, Y., Vemuri, B.C. and Wang, F. (2004). Cumulative residual entropy: A new measure of information, IEEE Transactions on Information Theoty, 50, 1220-1228.   DOI   ScienceOn
6 Renyi, A. (1961). On measures of entropy and information, In Proceeding of the Fourth Berkeley Symposium, I, UC Press, Berkeley, 547-561.
7 Shannon, C. E. (1948). A mathematical theory of communication, Bell System Technology, 27, 379-423.   DOI
8 Wang, F. and Vemuri, B. C. (2007). Non-rigid multi-model image registration using cross-cumulative residual entropy, International Journal of Computer Vision, 74, 201-215.   DOI
9 Zheng, G. (2001). A characterization of the factorization of hazard function by the Fisher information under type II censoring with application to the Weibull family, Statistics and Probability Letters, 52, 249-253.   DOI   ScienceOn
10 Zografos, K. and Nadarajah, S. (2005). Survival exponential entropies, IEEE Transactions on Information Theory, 51, 1239-1246.   DOI   ScienceOn
11 Asadi, M., Ebrahimi, N. and Soofi, E. S. (2005). Dynamic generalized information measures, Statistics and Probability Letters, 71, 85-98.   DOI   ScienceOn
12 Asadi, M. and Zohrevand, Y. (2007). On the dynamic cumulative residual entropy, Journal of Statistical Planning and Inference, 137, 1931-1941.   DOI   ScienceOn
13 Di Crescenzo, A. and Longobardi, M. (2002). Entropy-based measure of uncertainty in past lifetime distributions, Journal of Applied Probability, 39, 434-440.   DOI   ScienceOn
14 Baratpour, S. (2010). Characterization based on cumulative residual entropy of first order ststistics, Communications in Statistics: Theory and Methods, 39, 3645-3651.   DOI   ScienceOn
15 Baratpour, S., Ahmadi, J. and Arghami, N. R. (2008). Some characterization based on Renyi entropy of order statistics and record values, Journal of Statistical Planning and Inference, 138, 2544-2551.   DOI   ScienceOn
16 David, H. A. and Nagaraja, H. N. (2003). Order Statistics, John Wiley & Sons, New York.
17 Di Crescenzo, A. and Longobardi, M. (2004). A measure of discrimination between past lifetime distributions, Statistics and Probability Letters, 67, 173-182.   DOI   ScienceOn
18 Di Crescenzo, A. and Longobardi, M. (2009). On cumulative entropies, Journal of Statistical Planning and Inference, 139, 4072-4087.   DOI   ScienceOn
19 Ebrahimi, N. (1996). How to measure uncertainty in the residual lifetime distributions, Sankhya, 58, 48-57.
20 Gertsbakh, I. and Kagan, A. (1999). Characterization of the Weibull distribution by properties of the Fisher information under type I censoring, Statistics and Probability Letters, 42, 99-105.   DOI   ScienceOn
21 Arnold, B. C., Balakrishnan, N. and Nagaraja, H. N. (1992). A First Course in Order Statistics, John Wiley & Sons, New York.
22 Abbasnejad, M., Arghami, N. R., Morgenthaler, S. and Mohtashami Borzadaran, G. R. (2010). On the dynamic survival entropy, Statistics and Probability Letters, 80, 1962-1971.   DOI   ScienceOn
23 Abraham, B. and Sankaran, P. G. (2005). Penyi's entropy for residual lifetime distribution, Statistical Paper, 46, 17-30.