References
- Berlinet , A. and Francq , C. 1990 . Stationnarité et identification d’un processus bilinéaire strictement superdiagonal . Statist. Anal. Données , 15 : 1 – 24 .
- Bollerslev , T. 1986 . Generalized Autoregressive Conditional Heteroskedasticity . J. Econometrics , 31 : 307 – 327 .
- Bougerol , P. and Picard , N. 1992a . Stationarity of GARCH Processes and of some Nonnegative Time Series . J. Econometrics , 52 : 115 – 127 .
- Bougerol , P. and Picard , N. 1992b . Strict Stationarity of Generalized Autoregressive Processes . Ann. Probab , 20 ( IV ) : 1714 – 1730 .
- Brandt , A. 1986 . The Stochastic Equation stationary coefficients . Adv. in Appl. Probab , 18 ( IV ) : 211 – 220 .
- Engle , R.F. 1982 . Autoregressive Conditional Heteroskedasticity with Estimates of the Variance of U.K. Inflation . Econometrica , 50 ( IV ) : 987 – 1008 .
- Francq , C. 1992 . ARMA Models with a Bilinear White Noise , Vol. 15 , 1 – 16 . Lille : IRMA .
- Granger C.W.J. Andersen A. An Introduction to Bilinear Time Series Models Vanderhoeck and Reprecht Gottingen 1978
- Kingman , J.F.C. 1973 . Subadditive Ergodic Theory . Ann. Probab , 1 : 883 – 909 .
- Liu , J. 1989 . On the Existence of a General Multiple Bilinear Time Series . J.Time Ser.Anal , 10 : 341 – 355 .
- Liu , J. and Brockwell , P.J. 1988 . On the General Bilinear Time Series Model . J.Appl.Probab , 25 : 553 – 564 .
- Magnus , J.R. and Neudecker , H. 1988 . Matrix Differential Calculus with Applications in Statistics and Econometrics , Chichester : John Wiley .
- Nelson , D.B. 1990 . Stationarity and persistence in the GARCH(1,1)model . Econometric Theory , 6 : 318 – 334 .
- Nicholls , D.F. and Quinn , B.G. 1982 . Random coefficient autoregressive models: an introduction , Vol. 11 , New York : Springer . Lecture Notes in Statistics
- Ozaki T. Non-linear models for non-linear random vibrations Tech. Rept.No. 92,Dept. of Mathematics Univ. of Manchester Institute of Sc. and Tech. Manchester, UK 1978
- Priestley , M.B. 1988 . Non-linear and Non-stationary Time Series Analysis , Academic Press .
- Sims , C.A. 1980 . Macroeconomics and Reality . Econometrica , 48 : 1 – 48 .
- Stensholt , B.K. and Tjostheim , D. 1987 . Multiple Bilinear Time Series Models . J. Time Ser. Anal , 8 : 221 – 233 .
- Subba Rao , T. 1981 . On the Theory of Bilinear Time Series Models . J. Roy. Statist. Soc. Ser. B , 43 : 244 – 255 .
- Tong , H. 1990 . Non-linear Time Series. A Dynamical System Approach , Oxford Science Publications .
- Tong , H. and Lim , K.S. 1980 . Threshold autoregression, limit cycles and cyclical data . J. Roy. Statist. Soc. Ser. B , 42 : 245 – 292 .
- Wold , H.O.A. 1938 . A study in the analysis of time series , Uppsala : Almquist & Wiksell .