English

Uniform Convergence of Multivariate Spectral Density Estimates

Methodology 2015-05-15 v1

Abstract

We consider uniform moment convergence of lag-window spectral density estimates for univariate and multivariate stationary processes. Optimal rates of convergence are obtained under mild and easily verifiable conditions. Our theory complements earlier results which primarily concern weak or in-probability convergence.

Keywords

Cite

@article{arxiv.1505.03659,
  title  = {Uniform Convergence of Multivariate Spectral Density Estimates},
  author = {Wei Biao Wu and Paolo Zaffaroni},
  journal= {arXiv preprint arXiv:1505.03659},
  year   = {2015}
}
R2 v1 2026-06-22T09:34:05.279Z