Dominating the maximum likelihood estimator in predicting reliability

Dominating the maximum likelihood estimator in predicting reliability

The reliability of a series system with n independent components are estimated. The failure distributions of these components are assumed to be Weibull with parameters α i's and β i's. It is assumed that the shape parameters β i's are known. This reduces the reliability of the system...

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Veröffentlicht in:Microelectronics and reliability 1987, Vol.27 (2), p.345-350
1. Verfasser: Jaisingh, Lloyd R.
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Sprache:eng
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Applied sciences
Exact sciences and technology
Operational research and scientific management
Operational research. Management science
Reliability theory. Replacement problems
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container_title Microelectronics and reliability
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creator Jaisingh, Lloyd R.
description The reliability of a series system with n independent components are estimated. The failure distributions of these components are assumed to be Weibull with parameters α i's and β i's. It is assumed that the shape parameters β i's are known. This reduces the reliability of the system to be a function of α = ( α 1, ..., α n), ξ(α), say. The MLE of ξ(α) is derived and an estimator which dominates the MLE in terms of risk, under squared error loss, is also derived. The predicted reliability using these two estimators are computed and compared.
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source ScienceDirect Journals (5 years ago - present)
subjects Applied sciences
Exact sciences and technology
Operational research and scientific management
Operational research. Management science
Reliability theory. Replacement problems
title Dominating the maximum likelihood estimator in predicting reliability
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