Some aging properties of the residual life of k-out-of-n systems

IEEE Transactions on Reliability

Volumn 55, Issue 3, 2006, Pages 535-541

  Li, Xiaohu ^a   Zhao, Peng ^a  

^a LANZHOU UNIVERSITY   (China)

Author keywords

Hazard rate order; Increasing failure rate; Likelihood ratio order; New better than used; Stochastic order

Indexed keywords

FAILURE ANALYSIS; FAULT TOLERANCE; MAXIMUM LIKELIHOOD ESTIMATION;

HAZARD RATE ORDER; INCREASING FAILURE RATE; LIKELIHOOD RATIO ORDER; STOCHASTIC ORDER;

SYSTEMS ANALYSIS;

EID: 34047271086     PISSN: 00189529     EISSN: None     Source Type: Journal    
DOI: 10.1109/TR.2006.879652     Document Type: Article

References (16)

1. M. Asadi and I. Bairamov, "A note on the mean residual life function of a parallel system," Communications in Statistics-Theory and Methods, vol. 34, pp. 475-484, 2005.
2. I. Bairamov, M. Ahsanullah, and I. Akhundov, "A residual life function of a system having parallel or series structures," Journal of Statistical Theory and Applications, vol. 1, pp. 119-132, 2002.
3. R. E. Barlow and F. Proschan, Statistical Theory of Reliability and Life Testing: Probability Models., Maryland: Silver Spring, 1975.
4. F. Belzunce, M. Franco, and J. M. Ruiz, "On aging properties based on the residual life of k-out-of- n systems," Probability in the Engineering and Informational Sciences, vol. 13, pp. 193-199, 1999.
5. Y. Chen, "Classes of life distributions and renewal counting process," Journal of Applied Probability, vol. 31, pp. 1110-1115, 1994.
6. M. Franco, J. M. Ruiz, and M. C. Ruiz, "On closure of IFR(2) and NBU(2) classes," Journal of Applied Probability, vol. 38, pp. 235-241, 2001.
7. M. I. Hendi, A. F. Mashhour, and M. A. Montasser, "Closure of the NBUC class under formation of parallel systems," Journal of Applied Probability, vol. 30, pp. 975-978, 1993.
8. W. Kuo and M. Zuo, Optimal Reliability Modeling: Principles and Applications., New Jersey: John Wiley and Sons, 2002.
9. N. A. Lanberg, R. V. Leon, and F. Proschan, "Characterizations of non-parametric classes of life distributions," The Annals of Probability, vol. 8, pp. 1163-1170, 1980.
10. X. Li and J. Chen, "Aging properties of the residual life length of k-out-of- n systems with independent but non-identical components," Applied Stochastic Models in Business and Industry, vol. 20, pp. 143-153, 2004.
11. X. Li and S. C. Kochar, "Some new results involving the NBU(2) class of life distributions," Journal of Applied Probability, vol. 38, pp. 242-247, 2001.
12. X. Li, Z. Li, and B. Jing, "Some results about the NBUC class of life distributions," Statistics and Probability Letters, vol. 46, pp. 229-237, 2000.
13. X. Li and M. J. Zuo, "On the behaviour of some new aging properties based upon the residual life of t-out-of- n systems," Journal of Applied Probability, vol. 39, pp. 426-433, 2002.
14. F. Pellerey and K. Petakos, "On closure property of the NBUC class under formation of parallel systems," IEEE Transactions on Reliability, vol. 51, pp. 452-454, 2002.
15. M. Z. Raqab and W. A. Amin, "Some ordering results on order statistics and record values," IAPQR transactions, vol. 21, pp. 1-8, 1996.
16. M. Shaked and J. G. Shanthikumar, Stochastic Orders and Their Applications. San Diego: Academic Press, 1994.