Stochastic equivalence of convex ordered distributions and applications

Probability in the Engineering and Informational Sciences

Volumn 14, Issue 1, 2000, Pages 33-48

  Bhattacharjee, M C ^a   Bhattacharya, R N ^b  

^a NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

^b INDIANA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ENGINEERING; INDUSTRIAL ENGINEERING;

ORDERED ALTERNATIVES; REAL LINE; SURVIVAL TIME;

STOCHASTIC SYSTEMS;

EID: 0034382317     PISSN: 02699648     EISSN: None     Source Type: Journal    
DOI: 10.1017/S026996480014104X     Document Type: Article

References (18)

1. Barlow, R.E. & Proschan, F. (1975). Statistical reliability theory, probability models. New York: Holt, Rinehart and Winston.
2. Basu, S.K. & Bhattacharjee, M.C. (1984). On weak convergence within the class of HNBUE life distributions. Journal of Applied Probability 21: 654-660.
3. Bessler, E. & Veinott, T. (1966). Optimal policy for a dynamic multi-echelon inventory model. Naval Research Logistics Quarterly 13: 355-389.
4. Bhattacharjee, M.C. (1991). Some generalized variability orderings and their applications. Journal of Applied Probability 28: 374-383.
5. Bhattacharjee, M.C. (1999). Exponentiality within class script L sign and stochastic equivalence of Laplace ordered survival times. Probability in the Engineering and Informational Sciences 13: 201-207.
6. Bhattacharjee, M.C. & Sethuraman, J. (1990). Families of life distributions characterized by two moments. Journal of Applied Probability 27: 720-725.
7. Cai, J. (1994). Characterizations of life distributions by moments of extremes and sample mean. Journal of Applied Probability 31: 148-155.
8. Huang, J.S. & Lin, G.D. (1999). Equality in distribution within a convex ordering family. Annals of the Institute of Statistics and Mathematics (to appear).
9. Karlin, S. & Novikoff, A. (1963). Generalized convex inequalities. Pacific Journal of Mathematics 13: 1251-1279.
10. Klefsjö, B. (1982). The HNBUE and HNWUE classes of life distributions. Naval Research Logistics Quarterly 29: 331-344.
11. Klefsjö, B. (1983). Testing exponentiality against HNBUE. Scandinavian Journal of Statistics 10: 65-75.
12. Li, H. & Zhu, H. (1994). Stochastic equivalence of ordered random variables with applications in reliability theory. Statistics and Probability Letters 20: 383-393.
13. Marshall, A.W. & Proschan, F. (1970). Mean life of series and parallel systems. Journal of Applied Probability 7: 165-174.
14. Obretenov, A. (1977). Convergence of IFR distribution to the exponential one. Compte Rendu Academie des Bulgarian Science 30(10): 1385-1387.
15. Ross, S.M. (1983). Stochastic processes. New York: Wiley.
16. Shaked, M. & Shanthikumar, J.G. (1994). Stochastic orders and their applications. New York: Academic Press.
17. Shaked, M. & Shanthikumar, J.G. (1998). Two variability orders. Probability in the Engineering and Informational Sciences 12: 1-23.
18. Stoyan, D. (1983). Comparison methods for queues and other stochastic systems. New York: Wiley.