Short Communications

The complex normal law and the admissibility of the sample mean as an estimator of a location parameter

A. L. Rukhin

Leningrad

Abstract: It is proved that the sample mean is an admissible unbiased estimator of a complex location parameter if and only if the population distribution function is a complex normal one.

Received: 03.11.1966

 English version: Theory of Probability and its Applications, 1967, 12:4, 695–697

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