Abstract
Abstract The performance of an estimator can be improved by incorporating some additional information(s) available besides the sample information. If two censored samples are available from the same exponential distribution, it is advantageous to pool the two samples for estimating the mean life. Further, incorporating guess information facilitates accuracy borrowing by shrinkage to a guess point or interval. Both the views have been taken into consideration in the present study. The present paper proposes an estimator for the mean life time of a two parameter exponential distribution, using conditional and/or guess information on it, when the two guarantees are equal but unknown. The bias, mean square error and relative efficiency of the proposed estimator have been studied. Some theoretical results have been derived. It is observed that the proposed testimator dominates the conventional estimator in certain range of life ratio, guess life ratio and shrinkage factor. Further, it is claimed that it always fares better than the preliminary test estimator for mean life proposed by Gupta and Singh (Microelectron. Reliab., 1985, 25, 881–887).
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