The lower bound for the variance of unbiased estimators for one- directional family of distributions
The concept of one-directionality of a distribution family is introduced, including both cases of location and scale parameters as well as the selection parameters. Some theorems concerning sharp lower bounds for the variance of unbiased estimators and the existence of zero variance unbiased estimators for nonregular distributions are given.
sharp lower bounds for the variance of unbiased estimators
existence of zero variance unbiased estimators
scientific article; zbMATH DE number 4072133