Likelihood ratio and mean residual life orders for order statistics of heterogeneous random variables

Probability in the Engineering and Informational Sciences

Volumn 15, Issue 2, 2001, Pages 259-272

  Hu, Taizhong ^a   Zhu, Zegang ^a   Wei, Ying ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ENGINEERING; INDUSTRIAL ENGINEERING;

IDENTICALLY DISTRIBUTED RANDOM VARIABLES; LIKELIHOOD RATIO ORDER; LIKELIHOOD RATIOS; MEAN RESIDUAL LIFE; ORDER STATISTICS;

RANDOM VARIABLES;

EID: 0035590181     PISSN: 02699648     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0269964801152083     Document Type: Article

References (13)

1. Balakrishnan, N. & Rao, C.R. (1998). Handbook of statistics 16 - Order statistics: Theory and methods. New York: Elsevier.
2. Balakrishnan, N. & Rao, C.R. (1998). Handbook of statistics 17 - Order statistics: Applications. New York: Elsevier.
3. Bapat, R.B. (1993). Symmetric function means and permanents. Linear Algebra and Its Applications 182: 101-108.
4. Bapat, R.B. & Beg, M.I. (1989). Order statistics for nonidentically distributed variables and permanents. Sankhyá Series A 51: 78-93.
5. Bapat, R.B. & Kochar, S.C. (1994). On likelihood-ratio ordering of order statistics. Linear Algebra and Its Applications 199: 281-291.
6. Belzunce, F., Franco, M., Ruiz, J.M., & Ruiz, M.C. (2000). On partial orderings between coherent systems with different structure. Probability in the Engineering and Informational Sciences, this issue: 273-293.
7. Block, H.W., Savits, T.H., & Singh, H. (1998). The reversed hazard rate function. Probability in the Engineering and Informational Sciences 12: 69-90.
8. Boland, P.J., El-Neweihi, E., & Proschan, F. (1994). Applications of the hazard rate ordering in reliability and order statistics. Journal of Applied Probability 31: 180-192.
9. Hu, T. & He, F. (2000). A note on comparisons of k-out-of-n systems with respect to the hazard and reversed hazard rate orders. Probability in the Engineering and Informational Sciences 14: 27-32.
10. Samuels, S.M. (1965). On the number of successes in independent trials. Annals of Mathematical Statistics 36: 1272-1278.
11. Shaked, M. & Shanthikumar, J.G. (1994). Stochastic orders and their applications. New York: Academic Press.
12. Singh, H. & Vijayasree, G. (1991). Preservation of partial orderings under the formation of k-out-of-n:G systems of i.i.d. components. IEEE Transactions on Reliability R-40:273-276.
13. van Lint, J.H. (1981). Notes on Egoritsjev's proof of the van der Waerden conjecture. Linear Algebra and Its Applications 39: 1-8.