Some efficiency properties of best linear unbiased estimators

In this paper, we show that the best linear unbiased estimators of the location and scale parameters of a location-scale parameter distribution based on a general Type-II censored sample are in fact trace-efficient linear unbiased estimators as well as determinant-efficient linear unbiased estimators. More generally, we show that the best linear unbiased estimators possess complete covariance matrix dominance in the class of all linear unbiased …