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Improved estimation of common location of two exponential populations with order restricted scale parameters using censored samples |
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| Authors: | Manas Ranjan Tripathy |
| Institution: | 1. Department of Mathematics, National Institute of Technology Rourkela, Rourkela, Indiamanasmath@yahoo.co.in |
| Abstract: | ABSTRACTEstimation of common location parameter of two exponential populations is considered when the scale parameters are ordered using type-II censored samples. A general inadmissibility result is proved which helps in deriving improved estimators. Further, a class of estimators dominating the MLE has been derived by an application of integrated expression of risk difference (IERD) approach of Kubokawa. A discussion regarding extending the results to a general k( ? 2) populations has been done. Finally, all the proposed estimators are compared through simulation. |
| Keywords: | Affine equivariant estimators Inadmissibility Maximum likelihood estimator Ordered parameters Quadratic loss function Relative risk performance Type-II censoring Uniformly minimum variance unbiased estimator |