Convergence rates in the central limit theorem for weighted sums of Bernoulli random fields
Statistics Theory
2020-03-10 v3 Probability
Statistics Theory
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 -dependent random fields.
Keywords
Cite
@article{arxiv.1703.07281,
title = {Convergence rates in the central limit theorem for weighted sums of Bernoulli random fields},
author = {Davide Giraudo},
journal= {arXiv preprint arXiv:1703.07281},
year = {2020}
}