Some results on residual entropy function

Metrika

Volumn 59, Issue 2, 2004, Pages 147-161

  Belzunce, Felix ^a   Navarro, Jorge ^a   Ruiz, José M ^a   Del Aguila, Yolanda ^b  

^a UNIVERSITY OF MURCIA   (Spain)

^b UNIVERSITY OF ALMERÍA   (Spain)

Author keywords

Characterization; Failure rate; Life distributions; Residual entropy; Shannon entropy; Stochastic orders and classes

Indexed keywords

EID: 17444402786     PISSN: 00261335     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001840300276     Document Type: Article

References (20)

1. Asadi M, Ebrahimi N (2000) Residual entropy and its characterizations in terms of hazard function and mean residual life function. Statist. Prob. Lett. 49:263-269
2. Belzunce F, Guillamón A, Navarro J, Ruiz JM (2001) Kernel estimation of residual entropy. Comm. Statist. Theory Methods 30:1243-1255
3. Cox DR (1972) Regression models and life-tables. J. Royal Statistical Soc. Ser B 34:187-202
4. Ebrahimi N (1996) How to measure uncertainty about residual life time. Sankhya Ser. A 58:48-57
5. Ebrahimi N (1997) Testing whether lifetime distribution is decreasing uncertainty. J. Statist. Plann. Infer. 64:9-19
6. Ebrahimi N, Kirmani SNUA (1996) Some results on ordering of survival functions through uncertainty. Statist. Prob. Lett. 29:167-176
7. Ebrahimi N, Pellerey F (1995) New partial ordering of survival functions based on notion of uncertainty. J. Appl. Prob. 32:202-211
8. Gupta RC, Kirmani SNUA (1990) The role of weighted distributions in stochastic modeling. Comm. Statist. Theory Methods 19:3147-3162
9. Hall P, Morton SC (1993) On the estimation of entropy. Ann. Inst. Statist. Math. 45:69-88
10. Jain K, Singh H, Bagai I (1989) Relations for reliability measures of weighted distributions. Comm. Statist. Theory Methods 18:4393-4412
11. Kotz S, Shanbhag DN (1980) Some new approaches to probability distributions. Adv. Appl. Prob. 12:903-921
12. Nair KRM, Rajesh G (1998) Characterization of probability distributions using the residual entropy function. J. Indian Statist. Assoc. 36:157-166
13. Nanda AK, Jain K (1999) Some weighted distributions results on univariate and bivariate cases. J. Statist. Plann. Inference 77:169-180
14. Oluyede BO (1999) On inequalities and selection of experiments for length biased distributions. Prob. Engineering Inform. Sci. 13:169-185
15. Ord JK, Patil GP, Taillie C (1981) The choice of a distribution to describe personal incomes. In: Taillie C, Patil GP, Baldessari, BA (eds) Statistical Distributions in Scientific Work Vol. 6, D. Reidel Publishing Co., Dordrecht-Boston, Massachusetts, pp. 193-201
16. Ord JK, Patil GP, Taillie C (1983) Truncated distributions and measures of income inequality. Sankhya Ser. B 45:413-430
17. Rajesh G, Nair KRM (1998) Residual entropy function in discrete time. Far. East J. Theo. Statist. 2:43-57
18. Rao CR (1965) Linear Statistical Inference and its applications. Wiley, New York
19. Shaked M, Shanthikumar JG (1994) Stochastic Orders and their Applications, Academic Press, San Diego
20. Shannon CE (1948) A mathematical theory of communication. Bell System Technical J. 27:379-423