Hoeffding and Bernstein inequalities for weighted sums of exchangeable random variables

Rina Foygel Barber

Hoeffding and Bernstein inequalities for weighted sums of exchangeable random variables

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arxiv 2404.06457 v3 pith:I74R2AG7 submitted 2024-04-09 math.ST math.PRstat.TH

Hoeffding and Bernstein inequalities for weighted sums of exchangeable random variables

Rina Foygel Barber This is my paper

classification math.ST math.PRstat.TH

keywords exchangeablerandomvariablesbernsteinhoeffdinginequalitiessettingsums

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The aim of this paper is to establish Hoeffding and Bernstein type concentration inequalities for weighted sums of exchangeable random variables. A special case is the i.i.d. setting, where random variables are sampled independently from some distribution (and are therefore exchangeable). In contrast to the existing literature on this problem, our results provide a natural unified view of both the i.i.d. and the exchangeable setting.

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