Sample autocovariances of long-memory time series
Statistics Theory
2008-12-18 v1 Statistics Theory
Abstract
We find the asymptotic distribution of the sample autocovariances of long-memory processes in cases of finite and infinite fourth moment. Depending on the interplay of assumptions on moments and the intensity of dependence, there are three types of convergence rates and limit distributions. In particular, a normal approximation with the standard rate does not always hold in practically relevant cases.
Cite
@article{arxiv.0805.2029,
title = {Sample autocovariances of long-memory time series},
author = {Lajos Horváth and Piotr Kokoszka},
journal= {arXiv preprint arXiv:0805.2029},
year = {2008}
}
Comments
Published in at http://dx.doi.org/10.3150/07-BEJ113 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)