Asymptotic spectral theory for nonlinear time series
Statistics Theory
2009-09-29 v2 Statistics Theory
Abstract
We consider asymptotic problems in spectral analysis of stationary causal processes. Limiting distributions of periodograms and smoothed periodogram spectral density estimates are obtained and applications to the spectral domain bootstrap are given. Instead of the commonly used strong mixing conditions, in our asymptotic spectral theory we impose conditions only involving (conditional) moments, which are easily verifiable for a variety of nonlinear time series.
Cite
@article{arxiv.math/0611029,
title = {Asymptotic spectral theory for nonlinear time series},
author = {Xiaofeng Shao and Wei Biao Wu},
journal= {arXiv preprint arXiv:math/0611029},
year = {2009}
}
Comments
Published in at http://dx.doi.org/10.1214/009053606000001479 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)