Estimating a Ratio of Normal Parameters

Andrew Rukhin

doi:10.1214/aos/1176349758

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Home > Journals > Ann. Statist. > Volume 13 > Issue 4 > Article

December, 1985 Estimating a Ratio of Normal Parameters

Andrew Rukhin

Ann. Statist. 13(4): 1616-1624 (December, 1985). DOI: 10.1214/aos/1176349758

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Abstract

The estimation problem of a function of normal parameters $\xi/\sigma^{2p}$ is considered. We prove that a "natural" estimator of this ratio is admissible for quadratic loss if and only if $p$ is nonnegative.