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Lithuanian Journal of Statistics
Article . 2017 . Peer-reviewed
License: CC BY
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Lithuanian Journal of Statistics
Article
License: CC BY NC
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Lithuanian Journal of Statistics
Article . 2017
Data sources: DOAJ
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Maximum Likelihood Estimation in the Fractional Vasicek Model

Authors: Stanislav Lohvinenko; Kostiantyn Ralchenko;

Maximum Likelihood Estimation in the Fractional Vasicek Model

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 ∈ (1/2,1). We construct the maximum likelihood estimators for unknown parameters α and β, and prove their consistency and asymptotic normality.

Keywords

fractional Vasicek model, asymptotic normality, Statistics, fractional Brownian motion, maximum likelihood estimation, strong consistency, HA1-4737

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Top 10%
Top 10%
Average
gold