Ordering conditional general coherent systems with exchangeable components

Abstract This paper investigates some ordering properties of the residual lives and the inactivity times of coherent systems with dependent exchangeable absolutely continuous components, based on the stochastically ordered signatures between systems, extending the results of Li and Zhang [2008. Some stochastic comparisons of conditional coherent systems. Applied Stochastic Models in Business and Industry 24, 541–549] for the case of independent and identically distributed components.

[1]  Peng Zhao,et al.  Some Aging Properties of the Residual Life of$k$-out-of-$n$Systems , 2006, IEEE Transactions on Reliability.

[2]  Xiaohu Li,et al.  Some stochastic comparisons of conditional coherent systems , 2008 .

[3]  Jorge Navarro,et al.  Mean residual life functions of finite mixtures, order statistics and coherent systems , 2008 .

[4]  Xiaohu Li,et al.  Stochastic Comparison on General Inactivity Time and General Residual Life of k-Out-of-n Systems , 2008, Commun. Stat. Simul. Comput..

[5]  J. Navarro Likelihood ratio ordering of order statistics, mixtures and systems , 2008 .

[6]  F. Samaniego,et al.  The signature of a coherent system and its application to comparisons among systems , 1999 .

[7]  Serkan Eryilmaz,et al.  Mean Residual Lifetimes of Consecutive-k-out-of-n Systems , 2007, Journal of Applied Probability.

[8]  Moshe Shaked,et al.  Ordering conditional lifetimes of coherent systems , 2007 .

[9]  Jorge Navarro,et al.  A note on comparisons among coherent systems with dependent components using signatures , 2005 .

[10]  Majid Asadi,et al.  The mean residual life function of a k-out-of-n structure at the system level , 2006, IEEE Transactions on Reliability.

[11]  Majid Asadi,et al.  A Note on the Mean Residual Life Function of a Parallel System , 2005 .

[12]  Taizhong Hu,et al.  ORDERING CONDITIONAL DISTRIBUTIONS OF GENERALIZED ORDER STATISTICS , 2007, Probability in the Engineering and Informational Sciences.

[13]  A. W. Marshall,et al.  Coherent Life Functions , 1970 .

[14]  F. Samaniego On Closure of the IFR Class Under Formation of Coherent Systems , 1985, IEEE Transactions on Reliability.

[15]  Narayanaswamy Balakrishnan,et al.  On the application and extension of system signatures in engineering reliability , 2008 .

[16]  Francisco J. Samaniego,et al.  Mixture Representations of Residual Lifetimes of Used Systems , 2008, Journal of Applied Probability.

[17]  Barry C. Arnold,et al.  On the residual lifelengths of the remaining components in an n−k+1 out of n system , 2008 .

[18]  Richard E. Barlow,et al.  Statistical Theory of Reliability and Life Testing: Probability Models , 1976 .