A Paradox in Admissibility

Sherali Mavjibhai Makani

doi:10.1214/aos/1176343853

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Home > Journals > Ann. Statist. > Volume 5 > Issue 3 > Article

May, 1977 A Paradox in Admissibility

Sherali Mavjibhai Makani

Ann. Statist. 5(3): 544-546 (May, 1977). DOI: 10.1214/aos/1176343853

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Abstract

Let $X_1, X_2$ be two independent variables with means $\theta_1, \theta_2$. Then two examples are given (one binomial, one normal) in which an estimator, depending only on $X_2$ is admissible for estimating $\theta_1$.