bounds for the mean square error of reliability estimation from gamma distribution in presence of an outlier observation

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ID: 130087
1989
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Abstract
In this paper we discuss the behavlor of the statistic R^(t) , the uniformly minimum variance unbiased (UMVU) estimate for the reliability of gamma distribution with unknown scale parameter σ when an outlier observation is present. Given the outlier effect on σ, we determine bounds for the mean and mean square error (MSE) of R(t). A semi-Bayesian approach is discussed when the outlier effect on σ is treated as a random variable having a prior distribution of beta type. Results of the exponential distribution (Sinha [1]) are given as particular cases of our results.
Reference Key
ghitany1989internationalbounds Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;M. E. Ghitany;W. H. Laverty
Journal structural engineering and mechanics
Year 1989
DOI
10.1155/S0161171289000980
URL
http://dx.doi.org/10.1155/S0161171289000980
Keywords
mathematics

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