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

Moment inequalities for a class of functionals of i.i.d. random fields are proved. Then rates are derived in the central limit theorem for weighted sums of such randoms fields via an approximation by m-dependent random fields.

Bibliographic Details
Main Author: Davide Giraudo
Format: Article
Language:English
Published: VTeX 2018-12-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://www.vmsta.org/doi/10.15559/18-VMSTA121