
Local asymptotic minimax risk bounds in a locally asymptotically mixture of normal family of distributions have been investigated under asymmetric loss functions and the asymptotic distribution of the optimal estimator that attains the bound has been obtained.
Published at http://dx.doi.org/10.1214/074921706000000527 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)
62E20, 62C99, 62C20, locally asymptotically mixture of normal experiment, Mathematics - Statistics Theory, Statistics Theory (math.ST), FOS: Economics and business, asymmetric loss function, Risk Management (q-fin.RM), 62C20, 62F12 (Primary) 62E20, 62C99 (Secondary), FOS: Mathematics, 62F12, local asymptotic minimax risk bound, Quantitative Finance - Risk Management
62E20, 62C99, 62C20, locally asymptotically mixture of normal experiment, Mathematics - Statistics Theory, Statistics Theory (math.ST), FOS: Economics and business, asymmetric loss function, Risk Management (q-fin.RM), 62C20, 62F12 (Primary) 62E20, 62C99 (Secondary), FOS: Mathematics, 62F12, local asymptotic minimax risk bound, Quantitative Finance - Risk Management
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