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Stochastic comparison on general inactivity time and general residual life of \(k\)-out-of-\(n\) systems. (English) Zbl 1162.60307

Summary: This paper conducts stochastic comparison on general residual life and general inactivity time of \((n - k + 1)\)-out-of-\(n\) systems and investigates the stochastic behavior of the general inactivity time of a system with units having decreasing reversed hazard rate. These results strengthen some conclusions in both B.-E. Khaledi and M. Shaked [J. Stat. Plann. Inference 137, No. 4, 1173–1184 (2007; Zbl 1111.60012)] and Hu et al. (2007).

MSC:

60E15 Inequalities; stochastic orderings
60K10 Applications of renewal theory (reliability, demand theory, etc.)

Citations:

Zbl 1111.60012
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References:

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