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.

References in corpus (2)

• Normal approximation under local dependence
• Berry-Esseen theorems under weak dependence

Cited by in corpus (1)

• Bound on the maximal function associated to the law of the iterated logarithms for Bernoulli random fields