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A stochastic comparison result about hazard rate ordering of two parallel systems comprising of geometric components. (English) Zbl 1397.60058

Summary: T. Mao and T. Hu [Probab. Eng. Inf. Sci. 24, No. 2, 245–262 (2010; Zbl 1193.60025)] left an open problem about the hazard rate order between two parallel systems each with \(n\) geometric components. In this note, we solve this open problem for \(2 \leq n \leq 9\).

MSC:

60E15 Inequalities; stochastic orderings
62N05 Reliability and life testing
90B25 Reliability, availability, maintenance, inspection in operations research

Citations:

Zbl 1193.60025
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References:

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