Estimation of system reliability |
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| Authors: | David D Hanagal |
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| Institution: | (1) Departamento de Estadistica, Colegio de Postgraduados-Montecillo, CP 56230 Texoco, Mexico |
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| Abstract: | In this paper, we estimate the reliability of a system with k components. The system functions when at least s (1≤s≤k) components survive a common random stress. We assume that the strengths of these k components are subjected to a common
stress which is independent of the strengths of these k components. If (X
1,X
2,…,X
k
) are strengths of k components subjected to a common stress (Y), then the reliability of the system or system reliability
is given byR=PY<X
(k−s+1)] whereX
(k−s+1) is (k−s+1)-th order statistic of (X
1,…,X
k
). We estimate R when (X
1,…,X
k
) follow an absolutely continuous multivariate exponential (ACMVE) distribution of Hanagal (1993) which is the submodel of
Block (1975) and Y follows an independent exponential distribution. We also obtain the asymptotic normal (AN) distribution
of the proposed estimator. |
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| Keywords: | and Phrases" target="_blank"> and Phrases Absolutely continuous multivariate exponential model Maximum likelihood estimate S-out-of-K system Stress-Strength model System reliability |
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