A Central Limit Theorem For Linear Random Fields
Probability
2010-07-14 v2 Statistics Theory
Statistics Theory
Abstract
A Central Limit Theorem is proved for linear random fields when sums are taken over finite disjoint union of rectangles. The approach does not rely upon the use of Beveridge Nelson decomposition and the conditions needed are similar to those given by Ibragimov for linear processes. When specializing this result to the case when sums are being taken over rectangles, a complete analogue of Ibragimov result is obtained with a lot of uniformity.
Cite
@article{arxiv.1007.1490,
title = {A Central Limit Theorem For Linear Random Fields},
author = {Atul Mallik and Michael Woodroofe},
journal= {arXiv preprint arXiv:1007.1490},
year = {2010}
}