Least Squares Estimator for Vasicek Model Driven by Sub-fractional Brownian Processes from Discrete Observations

Cuiyun Zhang; Jingjun Guo; Aiqin Ma; Bo Peng

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arXiv · 2007.01460

Least Squares Estimator for Vasicek Model Driven by Sub-fractional Brownian Processes from Discrete Observations

Cuiyun Zhang·Jingjun Guo·Aiqin Ma·Bo Peng

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Abstract

We study the parameter estimation problem of Vasicek Model driven by sub-fractional Brownian processes from discrete observations, and let {S_t^H,t>=0} denote a sub-fractional Brownian motion whose Hurst parameter 1/2<H<1 . The studies are as follows: firstly, two unknown parameters in the model are estimated by the least squares method. Secondly, the strong consistency and the asymptotic distribution of the estimators are studied respectively. Finally, our estimators are validated by numerical simulation.

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Cuiyun Zhang, Jingjun Guo, Aiqin Ma, Bo Peng. 2020-07-03. Least Squares Estimator for Vasicek Model Driven by Sub-fractional Brownian Processes from Discrete Observations. https://arxiv.org/abs/2007.01460

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