The lower bound for the variance of unbiased estimators for one-directional family of distributions
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.
Key words and phrasesCramér-Rao bound Bhattacharyya bound unbiased estimator one-directional family of distributions sharp lower bound
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