Title
Parameter Identification for Drift Fractional Brownian Motions with Application to the Chinese Stock Markets.
Abstract
This article deals with the problem of estimating all the unknown parameters in the drift fractional Brownian motion with discretely sampled data. The estimation procedure is built upon the marriage of the variation method and the ergodic theory. The strong consistencies of these estimators are provided. Moreover, our method and two existing approaches are compared based on the computational running time and the accuracy of estimation via simulation studies. We also apply the proposed method to the real high-frequency financial data within a window of 4 h in the trading day from the Chinese mainland stock market.
Year
DOI
Venue
2015
10.1080/03610918.2013.849738
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
Keywords
Field
DocType
Discrete-time observations,Drift fractional Brownian motions,Ergodic theory,Strong consistency,Variation method,60G99,62M10,65T60,91B70,91G60
Econometrics,Ergodic theory,Brownian motion,Stock market,Fractional Brownian motion,Strong consistency,Mathematics,Estimator
Journal
Volume
Issue
ISSN
44
8
0361-0918
Citations 
PageRank 
References 
0
0.34
6
Authors
3
Name
Order
Citations
PageRank
Weilin Xiao1685.19
Wei-Guo Zhang255739.22
Xili Zhang3583.90