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Estimation of time-varying ARMA models with Markovian changes in regime

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  • Francq, Christian
  • Gautier, Antony

Abstract

In this paper, we consider the estimation of time-varying ARMA models subject to Markovian changes in regime. We give explicit conditions ensuring consistency and asymptotic normality, as well as the limiting covariance matrix, of least squares and quasi-generalized least-squares estimators.

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Bibliographic Info

Article provided by Elsevier in its journal Statistics & Probability Letters.

Volume (Year): 70 (2004)
Issue (Month): 4 (December)
Pages: 243-251

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Handle: RePEc:eee:stapro:v:70:y:2004:i:4:p:243-251

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Related research

Keywords: Time-varying ARMA models Non-stationary processes Quasi-generalized least-squares estimator Asymptotic covariance matrix Markovian changes in regime;

References

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  1. Francq, C. & Zakoian, J. -M., 2001. "Stationarity of multivariate Markov-switching ARMA models," Journal of Econometrics, Elsevier, vol. 102(2), pages 339-364, June.
  2. Abdelouahab Bibi & Christian Francq, 2003. "Consistent and asymptotically normal estimators for cyclically time-dependent linear models," Annals of the Institute of Statistical Mathematics, Springer, vol. 55(1), pages 41-68, March.
  3. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-84, March.
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Cited by:
  1. Zakoïan, Jean-Michel, 2010. "A class of DCC asymmetric GARCH models driven by exogenous variables," Economics Papers from University Paris Dauphine 123456789/5529, Paris Dauphine University.
  2. Regnard, Nazim & Zakoian, Jean-Michel, 2010. "A conditionally heteroskedastic model with time-varying coefficients for daily gas spot prices," MPRA Paper 22642, University Library of Munich, Germany.
  3. Zakoïan, Jean-Michel & Regnard, Nazim, 2008. "GARCH (1,1) Models with Exogenously-Driven Volatility: Structure and Estimation," Economics Papers from University Paris Dauphine 123456789/2285, Paris Dauphine University.

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