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arxiv: 0804.1715 · v1 · submitted 2008-04-10 · 🧮 math.ST · stat.TH

Adaptive sequential estimation for ergodic diffusion processes in quadratic metric. Part 2: Asymptotic efficiency

classification 🧮 math.ST stat.TH
keywords asymptoticquadraticconstantconstructedefficiencyminimaxpartprocedure
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Asymptotic efficiency is proved for the constructed in part 1 procedure, i.e. Pinsker's constant is found in the asymptotic lower bound for the minimax quadratic risk. It is shown that the asymptotic minimax quadratic risk of the constructed procedure coincides with this constant.

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