Reliability and expectation bounds for coherent systems with exchangeable components

Journal of Multivariate Analysis

Volumn 98, Issue 1, 2007, Pages 102-113

  Navarro, Jorge ^a   Rychlik, Tomasz ^b  

^a UNIVERSITY OF MURCIA   (Spain)

^b INSTITUTE OF MATHEMATICS   (Poland)

Author keywords

Coherent system; Exchangeable components; Expectation bound; Order statistic; Reliability bound; Signature

Indexed keywords

EID: 33749992350     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2005.09.003     Document Type: Article

References (16)

1. Barlow R.E., and Proschan F. Statistical Theory of Reliability and Life Testing (1975), Holt Rinehart & Winston, New York
2. Esary J.D., and Marshall A.W. Coherent life functions. SIAM J. Appl. Math. 18 (1970) 810-814
3. Hu T., and Hu J. Comparison of order statistics between dependent and independent random variables. Statist. Probab. Lett. 37 (1998) 1-6
4. Kochar S., Mukerjee H., and Samaniego F.J. The "signature" of a coherent system and its application to comparison among systems. Naval Res. Logist. 46 (1999) 507-523
5. Mi J., and Shaked M. Stochastic dominance of random variables implies the dominance of their order statistics. J. Indian Statist. Assoc. 40 (2002) 161-168
6. Navarro J., Ruiz J.M., and Sandoval C.J. A note on comparisons among coherent systems with dependent components using signatures. Statist. Probab. Lett. 72 (2005) 179-185
7. Papadatos N. Distribution and expectation bounds on order statistics from possibly dependent variates. Statist. Probab. Lett. 54 (2001) 21-31
8. T. Rychlik, Bounds for expectation of L-estimates for dependent samples, Statistics 24 (1993) 1-7.
9. T. Rychlik, Sharp bounds on L-estimates and their expectations for dependent samples, Commun. Statist. Theory Methods 22 (1993) 1053-1068.
10. Rychlik T. Distributions and expectations of order statistics for possibly dependent random variables. J. Multivariate Anal. 48 (1994) 31-42
11. Rychlik T. Bounds for order statistics based on dependent variables with given nonidentical distributions. Statist. Probab. Lett. 23 (1995) 351-358
12. T. Rychlik, Mean-variance bounds for order statistics from dependent DFR, IFR, DFRA and IFRA samples, J. Statist. Plann. Inference 92 (2001) 21-38.
13. T. Rychlik, Projecting Statistical Functionals, Lecture Notes in Statistics, vol. 160, Springer, New York, 2001.
14. Samaniego F. On closure of the IFR class under formation of coherent systems. IEEE Trans. Reliab. R-34 (1985) 69-72
15. Shaked M., and Shanthikumar J.G. Stochastic Orders and their Applications (1994), Academic Press, San Diego
16. Shaked M., and Suarez-Llorens A. On the comparison of reliability experiments based on the convolution order. J. Amer. Statist. Assoc. 98 463 (2003) 693-702