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Preprints, Working Papers, ... Year : 2017

Convergence rates in the central limit theorem for weighted sums of Bernoulli random fields

Abstract

We prove moment inequalities for a class of functionals of i.i.d. random fields. We then derive rates in the central limit theorem for weighted sums of such randoms fields via an approximation by $m$-dependent random fields.
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Dates and versions

hal-01491148 , version 1 (16-03-2017)
hal-01491148 , version 2 (11-01-2018)
hal-01491148 , version 3 (29-10-2018)

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Davide Giraudo. Convergence rates in the central limit theorem for weighted sums of Bernoulli random fields. 2017. ⟨hal-01491148v1⟩
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