Parameter Estimation for Multiscale Diffusions
Statistics Theory
2009-11-11 v1 Mathematical Physics
math.MP
Statistics Theory
Abstract
We study the problem of parameter estimation for time-series possessing two, widely separated, characteristic time scales. The aim is to understand situations where it is desirable to fit a homogenized singlescale model to such multiscale data. We demonstrate, numerically and analytically, that if the data is sampled too finely then the parameter fit will fail, in that the correct parameters in the homogenized model are not identified. We also show, numerically and analytically, that if the data is subsampled at an appropriate rate then it is possible to estimate the coefficients of the homogenized model correctly.
Cite
@article{arxiv.math/0603668,
title = {Parameter Estimation for Multiscale Diffusions},
author = {G. A. Pavliotis and A. M. Stuart},
journal= {arXiv preprint arXiv:math/0603668},
year = {2009}
}
Comments
35 pages, 14 figures, submitted to JRSSB