References
- Barndorff-Nielsen, O. and Shephard, N. (2001). Non-Gaussian Ornstein-Uhlenbeck based models and some of their uses in financial economics, Journal of Royal Statistical Society. B 63, 167–241. https://doi.org/10.1111/1467-9868.00282
- Doukhan, P. (1994). Mixing: Properties and Examples, Lecture note in Statistics 85, Springer-Verlag, New York.
- Down, D., Meyn, S. P. and Tweedie, R. L. (1995). Exponential and uniform ergodicity of Markov processes, The Annals of Probability, 23, 1671–1691.
- Fasen, V. (2009). Extremes of continuous time processes, In Anderson, T.G., Davis, R.A., Kreiss, J.P. and Mikosch, T.(Eds.) Handbook of Financial Time Series, Springer, 653–667.
- Haug, S. and Czado, C. (2007). An exponential continuous time GARCH process, Journal of Applied Probability, 44, 960–976.
- Haug, S., Kluppelberg, A., Lindner, A. and Zapp, M. (2007). Method of moment estimation in the COGARCH(1,1) model, The Econometrics Journal, 10, 320–341.
- Kluppelberg, C., Lindner, A. and Maller, R. (2006). Continuous time volatility modelling: COGARCH versus Ornstein-Uhlenbeck Models. In Kabanov, Y. Lispter, R. and Stoyanov, J (Eds.) Stochastic Calculus to Mathematical Finance. The Shiryaev Fostschrift, Springer, Berlin, 393–419.
- Kusuoka, S. and Yoshida, N. (2000). Malliavin calculus, geometric mixing, and expansion of diffusion functionals, Probability Theory and Related Fields, 116, 457–484. https://doi.org/10.1007/s004400070001
- Masuda, H. (2004). On multidimensional Ornstein-Uhlenbeck processes driven by a general Levy process, Bernoulli, 10, 97–120.
- Meyn, S. P. and Tweedie, R. L. (1993). Stability of Markovian processes III: Foster-Lyapunov criteria for continuous time processes, Advances in Applied Probability, 25, 518–548.
- Nelson, D. B. (1990). ARCH models as diffusion approximations, Journal of Econometrics, 45, 7–38.
- Protter, P. E. (2005). Stochastic Integration and Differential Equations, 2nd Ed. Springer.
- Sato, K. (1999). Levy Processes and Infinitely Divisible Distributions, Cambridge University press, Cambridge.
- Sato, K. and Yamazato, M. (1984). Operator-self-decomposable distributions as limit distributions of processes of Ornstein-Uhlenbeck type, Stochastic Processes and their Applications, 17, 73–100. https://doi.org/10.1016/0304-4149(84)90312-0