On the estimation of the mean of a random vector
classification
🧮 math.ST
stat.TH
keywords
meanassumptionsdistributionsestimatingestimationestimatorexistenceindependent
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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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