An allocation scheme for estimating the reliability of a parallel-series system

Details An allocation scheme for estimating the reliability of a parallel-series system An allocation scheme for estimating the reliability of a parallel-series system

2012-02-23

arxiv.org/abs/1202.5334v2

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16 pages, 4 figures, submitted to Applied Mathematics and Computation

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We give a hybrid two stage design which can be useful to estimate the reliability of a parallel-series and/or by duality a series-parallel system, when the component reliabilities are unknown as well as the total numbers of units allowed to be tested in each subsystem. When a total sample size is fixed large, asymptotic optimality is proved systematically and validated via Monte Carlo simulation.

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