References
- Basak , G. K. , Lee , P. ( 2008 ). Asymptotic properties of an estimator of the drift coefficients of multidimensional Ornstein-Uhlenbeck processes that are not necessarily stable . Electron. J. Statist. 2 : 1309 – 1344 .
- Chaâbane , F. ( 2002 ). Invariance principles with logarithmic averaging for continuous local martingales . Statist. Probab. Lett. 59 ( 2 ): 209 – 217 .
- Chaâbane , F. ( 2001 ). Invariance principles with logarithmic averaging for martingales . Studia Sci. Math. Hungar. 37 ( 1–2 ): 21 – 52 .
- Chaâbane , F. , Fathallah , H. ( 2007 ). Identification of a stable Gaussian autoregressive process by an averaging method . J. Appl. Probab. Statist. 2 ( 2 ): 211 – 226 .
- Chaâbane , F. , Kebaier , A. ( 2008 ). Théorèmes limites avec poids pour les martingales vectorielles à temps continu . ESAIM Probab. Statist. 12 : 464 – 491 .
- Chaâbane , F. , Touati , A. ( 2001 ). On averaging methods for identification of linear regression models . C. Roy. Acad. Sci. Paris Sér. I Math. 333 ( 2 ): 133 – 138 .
- Chan , N. H. , Wei , C. Z. ( 1988 ). Limiting distributions of least squares estimates of unstable autoregressive processes . Ann. Statist. 16 ( 1 ): 367 – 401 .
- Darwich , A. R. ( 2002 ). About the asymptotic behaviour of continuous vector-valued local martingales and application in multiple linear regression models . Stoch. Stoch. Rep. 74 ( 1–2 ): 393 – 409 .
- Darwich , A. R. ( 1989 ). Une loi du logarithme itéré pour les martingales locales multidimensionnelles et son application en régression linéaire stochastique . C. Roy. Acad. Sci. Paris Sér. I Math. 309 ( 6 ): 387 – 390 .
- Darwich , A. R. , Le Breton , A. ( 1991 ). About the asymptotic behaviour of multidimensional Gaussian martingales and estimates in normal linear regression . Statist. Probab. Lett. 12 ( 4 ): 317 – 321 .
- De Gregorio , A. , Iacus , S. M. ( 2008 ). Least squares volatility change point estimation for partially observed diffusion processes . Commun. Statist. Theor. Meth. 37 ( 13–15 ): 2342 – 2357 .
- Duflo , M. , Senoussi , R. , Touati , A. ( 1991 ). Almost sure asymptotic properties of the least-squares estimator of a vector-valued autoregressive model . Ann. Inst. H. Poincaré Probab. Statist. 27 ( 1 ): 1 – 25 .
- Fathallah , H. , Kebaier , A. (2012). Weigthed limit theorems for continuous-time vector martingales with explosive and mixed growth and statistical applications. J. Stochastic Anal. Applic. 30:238–257.
- Galtchouk , L. , Konev , V. ( 2004 ). On uniform asymptotic normality of sequential least squares estimators for the parameters in a stable AR(p) . J. Multivariate Anal. 91 ( 2 ): 119 – 142 .
- Galtchouk , L. , Konev , V. ( 2006 ). Sequential estimation of the parameters in unstable AR(2) . Sequen. Anal. 25 ( 1 ): 25 – 43 .
- Kutoyants , Y. ( 2004 ). Statistical inference for ergodic diffusion processes . London : Springer. Springer Series in Statistics .
- Le Breton , A. ( 1984 ). Propriétés asymptotiques et estimation des paramètres pour les diffusions gaussiennes homogènes hypoelliptiques dans le cas purement explosif . C. Roy. Acad. Sci. Paris Sér. I Math. 299 ( 6 ): 185 – 188 .
- Le Breton , A. , Musiela , M. ( 1985 ). Some parameter estimation problems for hypoelliptic homogeneous Gaussian diffusions . In: Sequential Methods in Statistics . Vol. 16 . Banach Center Publ . Warsaw : PWN , pp. 337 – 356 .
- Le Breton , A. , Musiela , M. ( 1986 ). Une loi des grands nombres pour les martingales locales continues vectorielles et son application en régression linéaire stochastique . C. Roy. Acad. Sci. Paris Sér. I Math. 303 ( 9 ): 421 – 424 .