Mathematical Sciences: Optimality Properties of Inference Procedures

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Optimality of inference procedures as well as new methodology in statistics are to be studied. The problem areas include (1) unbiasedness and monotonicity of power functions of tests; (2) inference in curved exponential families; (3) analysis of incomplete block designs; (4) variable selection techniques; (5) extensions of James-Stein results to non-normal cases; (6) extension of James-Stein results to non-quadratic losses.