Abstract

The present paper proposes a double stage shrinkage testimator (qˆs ) for the mean (average life) of an exponential life testing model. The risk properties of the proposed testimator have been studied using an asymmetric loss function. If the available guess value is accepted on the basis of the outcome of a preliminary test of significance (PTS), one can propose a shrinkage testimator, otherwise an additional sample is taken and a pooled estimator (based on n1 and n2 is proposed. Risks of the conventional estimator (X1) and the double stage estimator (X p ) have been derived under the asymmetric loss function. It has been observed that (qˆs ) dominates both (X1) and (X p ) in the sense of having smaller risk. A study of relative risks shows that for different levels of significance (preferably a = 1%) and varying degrees of overestimation or underestimation the proposed testimator fairs better than the conventional ones.

Author: Rakesh Srivastava and Vilpa Tanna

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