Parameter Estimation for Multiscale Diffusions
统计理论
2009-11-11 v1 数学物理
math.MP
统计理论
摘要
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.
引用
@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}
}
备注
35 pages, 14 figures, submitted to JRSSB