A note on the common mean of two normal populations with order restricted variances |
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| Authors: | Abdulaziz Elfessi Nabendu Pal$sup:$esup |
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| Institution: | Department of Statistics , University of Southwestern Louisiana , Lafayette, Louisiana, 70504, USA |
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| Abstract: | Consider the problem of estimating the common mean of two normal populations when the order of the unknown variances is known. In this article we have constructed a simple improved estimator which is better than the usual Graybill-Deal estimator in terms of stochastic domination. |
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| Keywords: | common mean stochastic domination universal domination risk function |
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