Far East Journal of Theoretical Statistics
Volume 19, Issue 2, Pages 273 - 279
(July 2006)
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ESTIMATION OF RELIABILITY IN NON-ACCUMULATING DAMAGE SHOCK
S. B. Munoli (India) and M. D. Suranagi (India)
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Abstract: A component is subjected to a sequence of shocks occurring
randomly in time as events of a Poisson process. The shocks damage the component
and the amount of damage due to a shock is an exponential random variable. The
component fails whenever the damage due to a shock exceeds the threshold of the
component, otherwise the component works as good as new one (non-accumulating
damage shock model). The reliability function of the model is derived. The
maximum likelihood estimator (MLE) and Bayes estimator of the reliability
function are obtained. Computation of estimators of reliability function is also
discussed. |
Keywords and phrases: Poisson process, damage, threshold, reliability, MLE and Bayes estimator. |
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