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Asymptotic Properties of Parameter Estimators in Fractional Vasicek Model

Authors :
Stanislav Lohvinenko
Kostiantyn Ralchenko
Olga Zhuchenko
Source :
Lietuvos statistikos darbai. 55:102-111
Publication Year :
2016
Publisher :
Vilnius University Press, 2016.

Abstract

We consider the fractional Vasicek model of the form dXt = (α-βXt)dt + γdBHt, driven by fractional Brownian motion BH with Hurst parameter H ∈ (0,1). We construct three estimators for an unknown parameter θ=(α,β) and prove their strong consistency.

Details

ISSN :
20297262 and 1392642X
Volume :
55
Database :
OpenAIRE
Journal :
Lietuvos statistikos darbai
Accession number :
edsair.doi...........1a3afe0f276506916fc26ecf346bdc9c
Full Text :
https://doi.org/10.15388/ljs.2016.13872