Volatility Estimation of Gaussian Ornstein–Uhlenbeck Processes of the Second Kind

Author:

Belfadli Rachid,Es-Sebaiy Khalifa,Farah Fatima-Ezzahra

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference19 articles.

1. Alazemi, F., Alsenafi, A., Es-Sebaiy, K.: Parameter estimation for Gaussian mean-reverting Ornstein–Uhlenbeck processes of the second kind: non ergodic case. Stoch. Dyn. 19, 1–25 (2020)

2. Aldous, D., Eagleson, G.K.: On mixing and stability of limit theorems. Ann. Probab. 6, 325–331 (1978)

3. Bajja, S., Es-Sebaiy, K., Viitasaari, L.: Volatility estimation in fractional Ornstein–Uhlenbeck models. Stoch. Model. 36, 94–111 (2019)

4. Barndorff-Nielsen, O.E., Corcuera, J.M., Podolskij, M.: Power variation for Gaussian processes with stationary increment. Stoch. Process. Appl. 119, 1845–1865 (2009)

5. Barndorff-Nielsen, O.E., Jacod, S.E., Podolskij, J., Shephard, N.A.: Central limit theorem for realised power and bipower variation of continuous semimartingale. In: Kabanov, Y., Liptser, R., Stoyanov, J. (eds.) From Stochastic Analysis to Mathematical Finance: The Shirayev Festschrift. Springer, Berlin (2006)

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