Statistical inference for discretely sampled stochastic functional differential equations with small noise
Statistics Theory
2023-03-21 v1 Statistics Theory
Abstract
Estimating parameters of drift and diffusion coefficients for multidimensional stochastic delay equations with small noise are considered. The delay structure is written as an integral form with respect to a delay measure. Our contrast function is based on a local-Gauss approximation to the transition probability density of the process. We show consistency and asymptotic normality of the minimum-contrast estimator when the dispersion coefficient goes to zero and the sample size goes to infinity, simultaneously.
Cite
@article{arxiv.2303.10807,
title = {Statistical inference for discretely sampled stochastic functional differential equations with small noise},
author = {Hiroki Nemoto and Yasutaka Shimizu},
journal= {arXiv preprint arXiv:2303.10807},
year = {2023}
}