On the lifetime distribution of consecutive k-out-of-n : F system

IEEE Transactions on Reliability

Volumn 56, Issue 1, 2007, Pages 35-39

  Eryilmaz, Serkan ^a  

^a IZMIR UNIVERSITY OF ECONOMICS   (Turkey)

Author keywords

Consecutive k out of n : Fsystem; Lifetime distribution; Longest run; Stochastic ordering

Indexed keywords

FAILURE ANALYSIS; RANDOM PROCESSES; RELIABILITY ANALYSIS;

LIFETIME DISTRIBUTION; STOCHASTIC ORDERING;

RELIABILITY THEORY;

EID: 34047098368     PISSN: 00189529     EISSN: None     Source Type: Journal    
DOI: 10.1109/TR.2006.890902     Document Type: Article

References (20)

1. S. Aki and K. Hirano, "Lifetime distributions of consecutive k-out-of-n : F systems, " Nonlinear Anal.-Theor., vol. 30, no. 1, pp. 555-562, 1997.
2. L. Bai, "Circular sequential k-out-of-n congestion system," IEEE Trans. Reliability, vol. 54, no. 3, pp. 412-420, 2005.
3. N. Balakrishnan and M. Koutras, Runs and Scans With Applications, ser. Probability and Statistics.: Wiley, 2002.
4. P. J. Boland and F. J. Samaniego, "Stochastic ordering results for consecutive k-out-of-n: F systems," IEEE Trans. Reliability, vol. 53, no. 1, pp. 7-10, 2004.
5. R. W. Chen and F. K. Hwang, "Failure distributions of consecutive k-out-of-n: F systems," IEEE Trans. Reliability, vol. R-34, pp. 338-341, 1985.
6. S. Eryilmaz, "On the distribution and expectation of success runs in nonhomogeneous Markov dependent trials," Statistical Papers, vol. 46, no. 1, pp. 117-128, 2005.
7. S. Eryilmaz, "Some results associated with the longest run statistic in a sequence of Markov dependent trials," Applied Mathematics & Computation, vol. 175, pp. 119-130, 2006.
8. J. C. Fu and M. Koutras, "Distribution theory of runs: A Markov chain approach," Journal of American Statistical Association, vol. 89, pp. 1050-1058, 1994.
9. J. C. Fu and W. Y. W. Lou, Distribution Theory of Runs and Patterns and Its Applications.: World Scientific Publishing, 2003.
10. A. E. Gera, "Combined k-out-of-n: G, and consecutive k(c)-out-of-n: G systems," IEEE Trans. Reliability, vol. 53, no. 4, pp. 523-531, 2004.
11. T. Hu, Z. Zhu, and Y. Wei, "Likelihood ratio and mean residual life orders for order statistics of heterogeneous random variables," Probability in the Engineering and Informational Sciences, vol. 15, pp. 259-272, 2001.
12. R. Korwar, "On stochastic orders for the lifetime of a k-out-of-n: F system," Probability in the Engineering and Informational Sciences, vol. 17, pp. 137-142, 2003.
13. G. Levitin, "Consecutive k-out-of-r-from-n system with multiple failure criteria," IEEE Trans. Reliability, vol. 53, no. 3, pp. 394-400, 2004.
14. 2 log(n)) algorithm for computing the reliability of consecutive k-out-of-n: F systems," IEEE Trans. Reliability, vol. 53, no. 1, pp. 3-6, 2004.
15. J. Mi and M. Shaked, "Stochastic dominance of random variables implies the dominance of their order statistics," J. Indian Statist. Assoc., vol. 40, pp. 161-168.
16. S. G. Papastavridis, "Lifetime distribution of circular consecutive k-out-of-n: F systems with exchangeable lifetimes," IEEE Trans. Reliability, vol. 38, no. 4, pp. 460-461, 1989.
17. M. Shaked and J. G. Shanthikumar, Stochastic Orders and Their Applications. San Diego, CA: Academic Press, 1994.
18. J. G. Shanthikumar, "Lifetime distribution of consecutive k-out-of-n: F systems with exchangeable lifetimes," IEEE Trans. Reliability, vol. R-34, no. 5, pp. 480-483, 1985.
19. Y. Q. Wu and J. C. Guan, "Repairable consecutive k-out-of-n: C systems with r repairmen," IEEE Trans. Reliability, vol. 54, no. 2, pp. 328-337, 2005.
20. H. Yamamoto, M. J. Zuo, T. Akiba, and Z. Tian, "Recursive formulas for the reliability of multi-state consecutive k-out-of-n: G systems," IEEE Trans. Reliability, vol. 55, no. 1, pp. 98-104, 2006.