References
- Arnold, L. 1974. Stochastic differential equations, theory and applications. New York: J. Wiley.
- Bibi, A., and F. Merahi. 2015. A note on L2-structure of continuous-time bilinear processes with time-varying coefficients. International Journal of Statistical Probability 4 (3):150–60.
- Bollerslev, T., J. Litvinova, and G. Tauchen. 2006. Leverage and volatility feedback effects in high-frequency data. Journal of Financial Econometrics 4 (3):353–84. doi:https://doi.org/10.1093/jjfinec/nbj014.
- Brockwell, P. J. 2001. Continuous-time ARMA processes. In Stochastic processes: Theory and methods. Handbook of statistics, edited by Shanb-hag, D. N., and C. R. Rao, vol. 19, 249–76. Amsterdam: Elsevier.
- Chan, K. C., G. A. Karolyi, F. A. Longstaff, and A. B. Sanders. 1992. An empirical comparison of alternative models of the short-term interest rate. The Journal of Finance XLVII 47 (3):1209–27. doi:https://doi.org/10.1111/j.1540-6261.1992.tb04011.x.
- Dobrushin, R. L. 1979. Gaussian and their subordinated self-similar random generalized fields. The Annals of Probability 7 (1):1–28. doi:https://doi.org/10.1214/aop/1176995145.
- Gonçalves, E., C. M. Martins, and N. Mendes-Lopes. 2014. The Taylor property in non-negative bilinear models. 1401, arXiv:6349v1.
- Granger, C. W., and A. P. Andersen. 1978. An introduction to bilinear time series models. Gottingen: Vandenhoeck and Rpurecht.
- Iglói, E., and G. Terdik. 1999. Bilinear stochastic systems with fractional Brownian motion input. The Annals of Applied Probability 9 (1):46–77. doi:https://doi.org/10.1214/aoap/1029962597.
- Kelley, W. G., and A. Peterson. 2010. The theory of differential equations. New York: Springer Verlag.
- Klüppelberg, C., A. Lindner, and R. Maller. 2004. A continuous time GARCH process driven by a Lévy process: Stationarity and second order behaviour. Journal of Applied Probability 41 (3):601–22. doi:https://doi.org/10.1017/S0021900200020428.
- ∅Ksendal, B. 2000. Stochastic differential equations: An introduction with applications. New York: Springer-Verlag.
- Le Breton, A., and M. Musiela. 1983. A look at a bilinear model for multidimensional stochastic systems in continuous time. Statistics & Decisions 1:285–303.
- Le Breton, A., and M. Musiela. 1984. A study of one-dimensional bilinear differential model for stochastic processes. Probability and Mathemtical Statistics 4 (1):91–107.
- Leon, J. A., and V. Perez-Abreu. 1993. Strong solutions of stochastic bilinear equations with anticipating drift in the first Wiener chaos. In Stochastic processes: A Festschrift in Honor of Gopinath Kallianpur, edited by Cambanis, S., Ghosh, J. K., Karandikar, R., and Sen, P. K. 235–243. New York: Springer-Verlag.
- Major, P. 1981. Multiple Wiener-Itô integrals. Lecture Notes in Mathematics, vol. 849. New York: Springer-Verlag.
- Subba Rao, T., and G. Terdik. 2003. On the theory of discrete and continuous bilinear time series models. Handbook of Statistics 21:827–70.
- Terdik, G. 1990. Stationary solutions for bilinear systems with constant coefficients. Progress in Probability 18:197–206.
- Wegman, E. J., Schwartz, S. C., and Tomas, J. B. (eds). 1989. Topics in non-Gaussian signal processing. New York: Springer-Verlag.