Local asymptotic minimax risk bounds in a locally asymptotically mixture of normal experiments under asymmetric loss

Mathematics – Statistics Theory

Scientific paper

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Published at http://dx.doi.org/10.1214/074921706000000527 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/

Scientific paper

10.1214/074921706000000527

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.

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