Reversed preservation properties of some negative aging conceptions and stochastic orders

Statistical Papers

Volumn 46, Issue 1, 2005, Pages 65-78

  Li, Xiaohu ^a   Yam, Richard C M ^b  

^a LANZHOU UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

IMRL; NWU(2); NWUC; Parallel system; RS order; Series system; TTT transform order

Indexed keywords

EID: 25644452926     PISSN: 09325026     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02762035     Document Type: Article

References (25)

1. Abouammoh A, El-neweihi E (1986) Closure of the NBUE and DMRL classes under formation of parallel systems. Statistics and Probability Letters 4, 223-225.
2. Barlow RE, Proschan F (1981) Statistical theory of reliability and life testing. Madison: Silver Spring.
3. Bartoszewicz J (1998) Applications of a general composition theorem to the star order of distributions. Statistics and Probability Letters 38, 1-9.
4. Belzunce F, Franco M and Ruiz JM (1999) On aging properties based on the residual life of k-out of-n systems. Probability in the Engineering and Informational Sciences 13, 193-199.
5. Belzunce F, Ortega EM and Ruiz JM (2001) A note on stochastic comparisons of excess lifetimes of renewal processes. Journal of Applied Probability 38, 747-753.
6. Belzunce F, Hu T and Khaledi BE (2003) Dispersion-type variability orders. Probability in the Engineering and Informational Sciences 17, 305-334.
7. Cai J, Wu Y (1997) A note on the preservation of the NBUC class under formation of parallel system with dissimilar components. Microelectron and Reliability 37, 359-360.
8. Cao J, Wang Y (1991) The NBUC and NWUC classes of life distributions. Journal of Applied Probability 28, 473-479.
9. Cao J, Wang Y (1992) Correction for 'The NBUC and NWUC classes of life distributions'. Journal of Applied Probability 29, 753.
10. Chen Y (1994) Classes of life distributions and renewal counting process. Journal of Applied Probability 31, 1110-1115.
11. Deshpande JV, Kochar SC and Singh H (1986) Aspects of positive ageing. Journal of Applied Probability 23, 748-758.
12. Fernandez-Ponce JM, Kochar SC and Muñoz-Pérez J (1998) Partial orderings of distributions based upon right spread function. Journal of Applied Probability 35, 221-228.
13. Franco M, Ruiz JM and Ruiz MC (2001) On closure of the IFR(2) and NBU(2) classes. Journal of Applied Probability 38, 236-242.
14. Franco M, Ruiz MC and Ruiz JM (2003) A note on closure of the ILR and DLR classes under formation of coherent systems. Statistical Papers 44, 279-288.
15. Hendi MI, Mashhour AF and Montasser MA (1993) Closure property of the NBUC class of life distributions under formation of parallel systems. Journal of Applied Probability 30, 975-978.
16. Klefsjö B (1985) On closure under formation of parallel systems. IEEE Transactions on Reliability 33, 423.
17. Kochar SC, Wiens DP (1987) Partial ordering of life distributions with respect to their aging properties. Naval Research Logistics Quarterly 34, 823-829.
18. Kochar SC, Li X and Shaked M (2002) The total time on test transform and the excess wealth stochastic order of distributions. Advances in Applied Probability 34, 826-845.
19. Langberg NA, Leon RV and Proschan F (1980). Characterizations of nonparametric classes of life distributions. The Annals of Probability 8, 1163-1170.
20. Li X, Zuo Ming J (2002) Behaviors of some new aging properties based upon the residual life of k-out of-n system. Journal of Applied Probability 39, 426-433.
21. Li X, Kochar S (2001) Some new results involving the NBU(2) class of life distributions. Journal of Applied Probability 38, 242-247.
22. Li X, Li Z and Jing B (2000) Some results about the NBUC class of life distributions. Statistics and Probability Letters 46, 229-237.
23. Pellerey F, Petakos K (2002) On closure property of the NBUC class under formation of parallel systems. IEEE transaction on Reliability 51, 452-454.
24. Shaked M, Shanthikumar JG (1994) Stochastic Orders and Their Applications. San Diego: Academic Press.
25. Shaked M, Shanthikumar JG (1998) Two variability orders. Probability in the Engineering and Informational Science 12, 1-23.