Some new results on the cumulative residual entropy

Journal of Statistical Planning and Inference

Volumn 140, Issue 1, 2010, Pages 310-322

  Navarro, Jorge ^a   del Aguila, Yolanda ^b   Asadi, Majid ^c  

^a UNIVERSITY OF MURCIA   (Spain)

^b UNIVERSITY OF ALMERÍA   (Spain)

^c UNIVERSITY OF ISFAHAN   (Iran)

Author keywords

Cumulative residual entropy; Dynamic cumulative residual entropy; Mean residual life; Reliability function

Indexed keywords

EID: 70349335542     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2009.07.015     Document Type: Article

References (17)

1. Asadi M., and Zohrevand Y. On the dynamic cumulative residual entropy. Journal of Statistical Planning and Inference 137 (2007) 1931-1941
2. Belzunce F., Navarro J., Ruiz J.M., and del Aguila Y. Some results on residual entropy function. Metrika 59 (2004) 147-161
3. Block H., Savits T., and Singh H. The reversed hazard rate function. Probability in the Engineering and Informational Sciences 12 (1998) 69-90
4. Di Crescenzo, A., Longobardi, M., 2009. On cumulative entropies. Journal of Statistical Planning and Inference, doi:10.1016/j.jspi.2009.05.038, in press.
5. Ebrahimi N. How to measure uncertainty in the residual life time distribution. Sankhya Ser. A 58 (1996) 48-56
6. Ebrahimi N., and Pellerey F. New partial ordering of survival functions based on the notion of uncertainty. Journal of Applied Probability 32 (1995) 202-211
7. Marshall A.W., and Olkin I. Life distributions. Structure of nonparametric, semiparametric, and parametric families. Springer Series in Statistics (2007), Springer, New York
8. Nanda A.K., Singh H., Misra N., and Paul P. Reliability properties of reversed residual lifetime. Communications in Statistics: Theory and Methods 32 (2003) 2031-2042
9. Navarro J., Ruiz J.M., and del Aguila Y. Parametric estimation from weighted samples. Biometrical Journal 43 (2001) 297-311
10. Navarro J., Ruiz J.M., and del Aguila Y. How to detect biased samples?. Biometrical Journal 45 (2003) 91-112
11. Navarro J., Ruiz J.M., and del Aguila Y. Multivariate weighted distributions-a review and some extensions. Statistics 40 (2006) 51-64
12. Navarro J., Ruiz J.M., and del Aguila Y. Characterizations and ordering properties based on log-odds functions. Statistics (2008) 313-328
13. Patil, G.P., Rao, C.R., 1977. The weighted distributions: a survey of their applications. In: Applications of Statistics, North-Holland Publishing Co., Amsterdam, pp. 383-405.
14. Rao C.R. On discrete distributions arising out of methods of ascertainment. Sankhya Ser. A 27 (1965) 311-324
15. Rao M. More on a new concept of entropy and information. Journal of Theoretical Probability 18 (2005) 967-981
16. Rao M., Chen Y., Vemuri B.C., and Wang F. Cumulative residual entropy: a new measure of information. IEEE Transactions on Information Theory 50 (2004) 1220-1228
17. Shaked M., and Shanthikumar J.G. Stochastic Orders (2007), Springer, New York