Estimation of reliability in a shock model for a two component system

The parallel system consisting of two components is subjected to random shocks from single source according to a Poisson process. The cumulative damage model with fixed threshold on each component is considered. For this model, the reliability function is obtained for a parallel system. The maximum...

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Bibliographic Details
Published in:Statistics & probability letters 1993-05, Vol.17 (1), p.35-38
Main Authors: Kunchur, S.H., Munoli, Surekha B.
Format: Article
Language:English
Subjects:
Applied sciences
Exact sciences and technology
Operational research and scientific management
Operational research. Management science
reliability
Reliability theory. Replacement problems
shock model
two component parallel system
UMVUE MLE
UMVUE MLE shock model two component parallel system reliability
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Summary:The parallel system consisting of two components is subjected to random shocks from single source according to a Poisson process. The cumulative damage model with fixed threshold on each component is considered. For this model, the reliability function is obtained for a parallel system. The maximum likelihood estimator (MLE) and the uniformly minimum variance unbiased estimator (UMVUE) of the reliability function are obtained.
ISSN:0167-7152
1879-2103
DOI:10.1016/0167-7152(93)90191-K