Bias in the estimation of mean reversion in continuous-time Levy processes

被引:3
|
作者
Bao, Yong [1 ]
Ullah, Aman [2 ]
Wang, Yun [3 ]
Yu, Jun [4 ]
机构
[1] Purdue Univ, W Lafayette, IN 47907 USA
[2] Univ Calif Riverside, Riverside, CA 92521 USA
[3] Univ Int Business & Econ, Beijing 100029, Peoples R China
[4] Singapore Management Univ, Singapore 178902, Singapore
基金
中国国家自然科学基金;
关键词
Bias; Mean reversion parameter; Levy processes;
D O I
10.1016/j.econlet.2015.06.002
中图分类号
F [经济];
学科分类号
02 ;
摘要
This paper develops the approximate bias of the ordinary least squares estimator of the mean reversion parameter in continuous-time Levy processes. Several cases are considered, depending on whether the long-run mean is known or unknown and whether the initial condition is fixed or random. The approximate bias is used to construct a bias corrected estimator. The performance of the approximate bias and the bias corrected estimator is examined using simulated data. (C) 2015 Elsevier B.V. All rights reserved.
引用
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页码:16 / 19
页数:4
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