Reliability Estimation in Life Testing in the Presence of an Outlier Observation

S. K. Sinha
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S. K. Sinha: University of Manitoba, Winnipeg, Manitoba, Canada

Operations Research, 1972, vol. 20, issue 4, 888-894

Abstract: The behavior of R̂ t , the uniformly minimum variance unbiased estimator (umvne) of the reliability function for the one-parameter exponential family, is discussed when an outlier observation is present. Bounds of E ( R̂ t ∣α) and MSE( R̂ t ∣α) have been obtained and a new estimator R t * is proposed, where α reflects the “outlier effect on the scale” parameter. A “semi-Bayesian” approach is discussed when α is treated as a random variable with a Beta-type prior. A similar solution, when δ reflects the “outlier effect of the location” has been obtained.

Date: 1972
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:20:y:1972:i:4:p:888-894

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