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Statistics
A Journal of Theoretical and Applied Statistics
Volume 28, 1996 - Issue 2
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Original Articles

Stationarity of Gtarch Processes

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Pages 171-178 | Received 01 Jul 1993, Accepted 19 Dec 1995, Published online: 27 Jun 2007

References

  • Bollerslev , T. 1986 . Generalized Autoregressive Conditional Heteroscedasticity . Journal of Econometrics , 37 : 307 – 327 .
  • Bougerol , P. 1984 . Oscillation des produits de matrices aléatoires dont l’exposant de Liapounov est nul . Lecture Notes in Mathematics, Liapounov Exponents , 1186
  • Bougerol , P. and Picard , N. 1992 . Stationanty of GARCH processes and of some non-negative time series . Journal of Econometrics , 52 : 115 – 127 .
  • Cohen , J. E. , Kersten , H. and Newman , C. H. 1986 . “ Random matrices and their applications ” . In In Contemporary Mathematics , Vol. 50 , Providence, , Rhode Island : AMS .
  • Engle , R. F. 1982 . Autoregressive Conditional Heteroscedasticity with estimates of the variance of the U. K. inflation . Econometrica , 50 : 987 – 1008 .
  • Engle , R. F. , Lilien , D. and Robins , R. 1985 . Estimation of time varying risk premiums in the term structure . Econometrica , 55 : 391 – 408 .
  • Gonçalves , E. and Mendes-Lopes , N. 1992 . Modeles ARCH à seuil: stationnarité et ergodicité . Actes des XXIV Journées de Statistique , Bruxelles
  • Kingman , J. F. C. 1976 . Subadditive Processes . Lecture Notes in Mathematics , 539 : 167 – 223 .
  • Nelson , D. B. 1991 . Conditional Heteroskedasticity in Asset Returns: A New Approach . Econometrica, , 59 : 347 – 370 .
  • Pham , D. T. 1985 . Bilinear Markovian representation and bilinear models, . J. Stochastic Proc. Appli. , 20 : 295 – 306 .
  • Rabemananjara , R. and Zakoian , J. M. 1993 . Threshold ARCH models and asymmetries in volatility . Journal of Applied Econometrics , 8 : 31 – 49 .
  • Rosenblatt , M. 1978 . Dependence and asymptotic independence for random processes . Studies in Probability Theory , 18 : 24 – 45 .
  • Tong , H. , ed. 1993 . “ Dimension Estimation and Models ” . 198 – 199 . Singapoor : World Scientific .
  • Zakoian , J. M. 1990 . “ Modèles Autoregressifs à seuil, Thèse de Docteur de l’Université en ” . In Mathématiques Appliquées , Université de Paris IX . Dauphine
  • Zakoian , J. M. 1994 . Threshold heteroscedastic models . Journal of Economic Dynamics and Control , : 931 – 955 .

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