The lower bound for the variance of unbiased estimators for one-directional family of distributions |
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| Authors: | Masafumi Akahira Kei Takeuchi |
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| Institution: | (1) University of Electro-Communications, Tokyo;(2) University of Tokyo, Tokyo, Japan;(3) Present address: University of Tsukuba, Tsukuba, Japan |
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| Abstract: | Summary In this paper we introduce the concept of one-directionality which includes both cases of location (and scale) parameter and
selection parameter and also other cases, and establish some theorems for shapr lower bounds and for the existence of zero
variance unbiased estimator for this class of non-regular distributions. |
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| Keywords: | Cramér-Rao bound Bhattacharyya bound unbiased estimator one-directional family of distributions sharp lower bound |
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