Admissible and minimax estimation of the parameter of the selected Pareto population under squared log error loss function

摘要

Abstract The problem of estimation after selection arises when we select a population from the given k populations by a selection rule, and estimate the parameter of the selected population. In this paper we consider the problem of estimation of the scale parameter of the selected Pareto population $$heta _{M}$$ θ M (or $$heta _{J}$$ θ J ) under squared