학술논문

Convoluted smoothed kernel estimation for drift coefficients in jump-diffusion models.
Document Type
Article
Source
Communications in Statistics: Theory & Methods. 2022, Vol. 51 Issue 21, p7354-7389. 36p.
Subject
*MONTE Carlo method
*JUMP processes
*ASYMPTOTIC normality
*MARTINGALES (Mathematics)
Language
ISSN
0361-0926
Abstract
The occurrence of economic policies and other sudden and large shocks often bring out jumps in financial data, which can be characterized through continuous-time jump-diffusion model. In this paper, we will adopt convoluted smoothed approach to estimate unknown drift function of the potentially nonstationary diffusion models with jumps under high frequency sampling data. With Gaussian approximation of locally square-integrable martingales, we will establish large sample properties for the underlying nonparametric estimators. Furthermore, we construct Monte Carlo simulation study through three examples for the better finite-sample properties such as reduction of mean-squared error compared with the existing estimators. Finally, our estimator is verified through the actual data of Shibor in China for better performance. [ABSTRACT FROM AUTHOR]