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A class of shrinkage estimators for the shape parameter of the Weibull lifetime modelKeywords: Shape parameter , Censored data , Weibull failure model , Shrinkage , Preliminary test , Bias ratio , Relative Efficiency Abstract: In this paper, we propose two classes of shrinkage estimators for the shape parameter of the Weibull distribution in censored samples. The proposed estimators are studied theoretically and have been compared numerically with existing estimators. Computer intensive calculations for bias and relative efficiency show that for, different values of levels of significance and for varying constants involved in the proposed estimators, the proposed testimators fare better than classical and existing estimators
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