On the estimation of the mean of a random vector

Published 19 Jul 2016 in math.ST and stat.TH | (1607.05421v1)

Abstract: We study the problem of estimating the mean of a multivariatedistribution based on independent samples. The main result is the proof of existence of an estimator with a non-asymptotic sub-Gaussian performance for all distributions satisfying some mild moment assumptions.

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