Uniform concentration inequality for ergodic diffusion processes observed at discrete times
Probability
2011-09-16 v1
Abstract
In this paper a concentration inequality is proved for the deviation in the ergodic theorem in the case of discrete time observations of diffusion processes. The proof is based on the geometric ergodicity property for diffusion processes. As an application we consider the nonparametric pointwise estimation problem for the drift coefficient under discrete time observations.
Cite
@article{arxiv.1109.3406,
title = {Uniform concentration inequality for ergodic diffusion processes observed at discrete times},
author = {Leonid Galtchouk and Serguei Pergamenchtchikov},
journal= {arXiv preprint arXiv:1109.3406},
year = {2011}
}