On minimax estimation of infinite dimensional vector of binomial proportions

author: Eduard Belitser, Utrecht University
published: Feb. 25, 2007,   recorded: October 2005,   views: 3498

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We consider the problem of minimax estimation of infinite dimensional vector of binomial proportions. Under some conditions we derive the asymptotic behavior of the minimax risk over some nonparametric classes. Further, we discuss the issue of adaptation and the problem of optimal allocation of observations.

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