## A note on comparisons among coherent systems with dependent components using signatures.(English)Zbl 1068.60026

S. Kochar, H. Mukerjee and F. J. Samaniego [Nav. Res. Logist. 46, No. 5, 507–523 (1999; Zbl 0948.90067)] obtained some results that stochastically compare the lifetimes of coherent systems with independent and identically distributed component lifetimes. The authors extend the results to coherent systems with (possibly) dependent component lifetimes. The notion of the Samaniego’s signatures is used in the derivation of the new results.

### MSC:

 60E15 Inequalities; stochastic orderings 60K10 Applications of renewal theory (reliability, demand theory, etc.) 62N05 Reliability and life testing

### Keywords:

Ordering; $$k$$-out-of-$$n$$ systems; Order statistics

Zbl 0948.90067
Full Text:

### References:

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