Some new results on stochastic orders and aging properties of coherent systemsc

IEEE Transactions on Reliability

Volumn 59, Issue 4, 2010, Pages 718-724

  Zhang, Zhengcheng ^a   Li, Xiaohu ^b  

^a LANZHOU JIAOTONG UNIVERSITY   (China)

^b XIAMEN UNIVERSITY   (China)

Author keywords

Hazard rate order; inactivity time; likelihood ratio order; residual life; signature

Indexed keywords

HAZARD RATE ORDER; INACTIVITY TIME; LIKELIHOOD RATIO ORDER; RESIDUAL LIFE; SIGNATURE;

STOCHASTIC SYSTEMS;

EID: 78649793964     PISSN: 00189529     EISSN: None     Source Type: Journal    
DOI: 10.1109/TR.2010.2087431     Document Type: Article

References (17)

1. F. Belzunce, M. Franco, J. M. Ruiz, and M. C. Ruiz, "On partial orderings between coherent systems with different structures," Probability in the Engineering and Informational Sciences, Vol. 15, pp. 273-293, 2001.
2. 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.
3. M. Denuit, J. Dhaene, M. Goovaerts, and R. Kaas, Actuarial Theory for Dependent Risks. Chichester: Wiley, 2005.
4. T. Hu, W. Jin, and B. E. Khaledi, "Ordering conditional distributions of generalized order statistics," Probability in the Engineering and Informational Sciences, Vol. 21, pp. 401-417, 2007.
5. B. E. Khaledi and M. Shaked, "Ordering conditional lifetimes of coherent systems," Journal of Statistical Planning and Inference, Vol. 137, pp. 1173-1184, 2007.
6. S. C. Kochar and S. N. U. A. Kirmani, "Some results on normalized spacings from restricted families of distributions," Journal of Statistical Planning and Inference, Vol. 46, pp. 47-57, 1995.
7. S. C. Kochar, H. Mukerjee, and F. J. Samaniego, "The signature of a coherent system and its application to comparisons among systems," Naval Research Logistics, Vol. 46, pp. 507-523, 1999.
8. N. A. Langberg, R. V. Leon, and F. Proschan, "Characterizations of nonparametric classes of life distributions," The Annals of Probability, Vol. 8, pp. 1163-1170, 1980.
9. 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.
10. X. Li and P. Zhao, "Some aging properties of the residual life of k-out-of- n system," IEEE Trans. Reliability, Vol. 55, pp. 535-541, 2006.
11. X. Li and P. Zhao, "Stochastic comparison on inactivity time and residual life of k-out-of- n systems," Communications in Statistics-Simulation and Computation, Vol. 37, pp. 1005-1019, 2008.
12. X. Li and Z. Zhang, "Some stochastic comparisons of conditional coherent systems," Applied Stochastic Models in Business and Industry, Vol. 24, pp. 541-549, 2008.
13. X. Li and M. J. Zuo, "On the behavior of some new ageing properties based upon the residual life of k-out-of- n system," Journal of Applied Probability, Vol. 39, pp. 426-433, 2002.
14. A. K. Nanda, K. Jain, and H. Singh, "Preservation of some partial orderings under the formation of coherent systems," Statistics and Probability Letters, Vol. 39, pp. 123-131, 1998.
15. J. Navarro, J. M. Ruiz, and C. J. Sandoval, "A note on comparisons among coherent systems with dependent components using signatures," Statistics and Probability Letters, Vol. 72, pp. 179-185, 2005.
16. F. Samaniego, "On closure of the IFR class under formation of coherent systems," IEEE Trans. Reliability, Vol. 34, pp. 69-72, 1985.
17. M. Shaked and J. G. Shanthikumar, Stochastic Orders. New York: Springer, 2007.