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AUEB SEMINARS - 13/1/2016: Konstantinos Daskalakis - Testing Properties of Distributions Forumgrstats
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AUEB SEMINARS - 13/1/2016: Konstantinos Daskalakis - Testing Properties of Distributions Empty AUEB SEMINARS - 13/1/2016: Konstantinos Daskalakis - Testing Properties of Distributions

Mon 11 Jan 2016 - 10:54
AUEB SEMINARS - 13/1/2016: Konstantinos Daskalakis - Testing Properties of Distributions Wmfig2

AUEB STATISTICS SEMINAR SERIES – JANUARY 2016


Konstantinos Daskalakis
Massachusetts Institute of Technology


Testing Properties of Distributions


WEDNESDAY 13/1/2016
13:00 – 15:00


ROOM 607, 6th FLOOR,
POSTGRADUATE STUDIES BUILDING
(EVELPIDON & LEFKADOS)


ABSTRACT

Given samples from an unknown distribution, p, is it possible to distinguish whether p belongs to some class of distributions C versus p being far from every distribution in C, by at least ε in total variation distance? This fundamental question has received tremendous attention in Statistics and Computer Science. Nevertheless, even for basic classes of distributions such as monotone, log-concave, unimodal, or product, the optimal sample complexity is unknown. We provide optimal testers for these families.

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