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Decision-Theoretic Issues in Heterogeneity Variance Estimation
Published
Author(s)
Andrew L. Rukhin
Abstract
In a random-effects setting of meta-analysis the between-study variance estimation is studied from the decision-theoretic point of view. The problem concerns simultaneous inference on curve-confined natural parameters of independent heterogeneous chi-squared random variables with given degrees of freedom. A form of the Stein phenomenon for the suggested loss function is noted, and the exact minimax value is determined. Second order minimax estimators are also derived.