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ASYMPTOTIC THEORY FOR ESTIMATING DRIFT PARAMETERS IN THE FRACTIONAL VASICEK MODEL

Econometric theory, 2019-02, Vol.35 (1), p.198-231 [Peer Reviewed Journal]

Copyright © Cambridge University Press 2018 ;ISSN: 0266-4666 ;EISSN: 1469-4360 ;DOI: 10.1017/S0266466618000051

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  • Title:
    ASYMPTOTIC THEORY FOR ESTIMATING DRIFT PARAMETERS IN THE FRACTIONAL VASICEK MODEL
  • Author: Xiao, Weilin ; Yu, Jun
  • Subjects: Economic models ; Estimating techniques ; Parameters ; Recurrent
  • Is Part Of: Econometric theory, 2019-02, Vol.35 (1), p.198-231
  • Description: This article develops an asymptotic theory for estimators of two parameters in the drift function in the fractional Vasicek model when a continuous record of observations is available. The fractional Vasicek model with long-range dependence is assumed to be driven by a fractional Brownian motion with the Hurst parameter greater than or equal to one half. It is shown that, when the Hurst parameter is known, the asymptotic theory for the persistence parameter depends critically on its sign, corresponding asymptotically to the stationary case, the explosive case, and the null recurrent case. In all three cases, the least squares method is considered, and strong consistency and the asymptotic distribution are obtained. When the persistence parameter is positive, the estimation method of Hu and Nualart (2010) is also considered.
  • Publisher: New York, USA: Cambridge University Press
  • Language: English
  • Identifier: ISSN: 0266-4666
    EISSN: 1469-4360
    DOI: 10.1017/S0266466618000051
  • Source: ProQuest Databases
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