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Dec 22, 2016 at 22:33 comment added Aryeh Kontorovich Well, once you know the form of the optimal estimator (empirical mean), you can use Chernoff bounds for sharp finite-sample estimates.
Dec 22, 2016 at 22:29 comment added Thomas Eberhard Thinking practically here, the (general) question is most interesting for relatively small n. How big does n need to be for the asymptotic $c/\sqrt(n)$ to hold?
Dec 22, 2016 at 21:33 comment added Thomas Eberhard This paper is just what I had been searching for. Thank you very much.
Dec 22, 2016 at 21:32 vote accept Thomas Eberhard
Dec 22, 2016 at 21:15 history answered Aryeh Kontorovich CC BY-SA 3.0