A note on comparisons among coherent systems with dependent components using signatures

Statistics and Probability Letters

Volumn 72, Issue 2, 2005, Pages 179-185

  Navarro, Jorge ^a   Ruiz, Jose M ^a   Sandoval, Carlos J ^b  

^a UNIVERSITY OF MURCIA   (Spain)

^b CATHOLIC UNIVERSITY OF MURCIA   (Spain)

Author keywords

Coherent systems; k out of n systems; Order statistics; Ordering; Signatures

Indexed keywords

EID: 15844383459     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2004.12.017     Document Type: Article

References (15)

1. R.E. Barlow F. Proschan Statistical Theory of Reliability and Life Testing 1975 Holt, Rinehart and Winston New York
2. P.J. Boland Signatures of direct and indirect majority systems J. Appl. Probab. 38 2 2001 597-603
3. Boland, P.J., Samaniego, F., 2003. The signature of a coherent system and its applications in reliability. In: Refik Soyer, Thomas Mazzuchi, Nozer Singpurwalla (Eds.), Mathematical Reliability: An Expository Perspective, vol. 67, International Series in Operational Research and Management Science. Kluwer, Dordrecht, pp. 1-29.
4. J.D. Esary A.W. Marshall Coherent life functions SIAM J. Appl. Math. 18 1970 810-814
5. T. Hu J. Hu Comparison of order statistics between dependent and independent random variables Statist. Probab. Lett. 37 1 1998 1-6
6. S. Karlin Total Positivity 1968 Stanford University Press Stanford, CA
7. S. Kochar H. Mukerjee F.J. Samaniego The "signature" of a coherent system and its application to comparison among systems Naval Res. Logist. 46 1999 507-523
8. J. Mi M. Shaked Stochastic dominance of random variables implies the dominance of their order statistics J. Indian Statist. Assoc. 40 2002 161-168
9. N. Papadatos Distribution and expectation bounds on order statistics from possibly dependent variates Statist. Probab. Lett. 54 1 2001 21-31
10. T. Rychlik Distributions and expectations of order statistics for possibly dependent random variables J. Multivariate Anal. 48 1 1994 31-42
11. T. Rychlik Bounds for order statistics based on dependent variables with given nonidentical distributions Statist. Probab. Lett. 23 4 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 1,2 2001 21-38
13. F. Samaniego On closure of the IFR class under formation of coherent systems IEEE Trans. Reliab. R-34 1985 69-72
14. M. Shaked J.G. Shanthikumar Stochastic Orders and their Applications 1994 Academic Press San Diego
15. M. Shaked A. Suarez-Llorens On the comparison of reliability experiments based on the convolution order J. Amer. Statist. Assoc. 98 463 2003 693-702