Average sampling restoration of harmonizable processes
Probability
2013-07-10 v1 Information Theory
math.IT
Abstract
The harmonizable Piranashvili-type stochastic processes are approximated by finite time shifted average sampling sums. Explicit truncation error upper bounds are established. Various corollaries and special cases are discussed.
Cite
@article{arxiv.1307.2432,
title = {Average sampling restoration of harmonizable processes},
author = {Andriy Olenko and Tibor Pogány},
journal= {arXiv preprint arXiv:1307.2432},
year = {2013}
}
Comments
16 pages. This is an Author's Accepted Manuscript of an article published in the Communications in Statistics - Theory and Methods, Vol. 40, Issue 19-20, 2011, 3587-3598. [copyright Taylor \& Francis], available online at: http://www.tandfonline.com/ [DOI: 10.1080/03610926.2011.581180]