@article{PSMIR_1989-1990___1_134_0, author = {Vostrikova, L.}, title = {Divergence {Processes} and {Weak} {Convergence} of {Likelihood} {Ratio} {Processes}}, journal = {Publications de l'Institut de recherche math\'ematiques de Rennes}, pages = {134--146}, publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes}, number = {1}, year = {1989-1990}, zbl = {0737.62013}, language = {en}, url = {http://www.numdam.org/item/PSMIR_1989-1990___1_134_0/} }
TY - JOUR AU - Vostrikova, L. TI - Divergence Processes and Weak Convergence of Likelihood Ratio Processes JO - Publications de l'Institut de recherche mathématiques de Rennes PY - 1989-1990 SP - 134 EP - 146 IS - 1 PB - Département de Mathématiques et Informatique, Université de Rennes UR - http://www.numdam.org/item/PSMIR_1989-1990___1_134_0/ LA - en ID - PSMIR_1989-1990___1_134_0 ER -
%0 Journal Article %A Vostrikova, L. %T Divergence Processes and Weak Convergence of Likelihood Ratio Processes %J Publications de l'Institut de recherche mathématiques de Rennes %D 1989-1990 %P 134-146 %N 1 %I Département de Mathématiques et Informatique, Université de Rennes %U http://www.numdam.org/item/PSMIR_1989-1990___1_134_0/ %G en %F PSMIR_1989-1990___1_134_0
Vostrikova, L. Divergence Processes and Weak Convergence of Likelihood Ratio Processes. Publications de l'Institut de recherche mathématiques de Rennes, no. 1 (1989-1990), pp. 134-146. http://www.numdam.org/item/PSMIR_1989-1990___1_134_0/
[1] On the Hellinger type distances for filtered experiments. Probab. Th. Rel. Fields 85, 105-117 (1990). | MR | Zbl
, .[2] Contiguity and the statistical invariance principle. Stochastics Monographs I, Gordon and Breach, New York, 1985. | MR | Zbl
, .[3] Asymptotic theory of estimations. Moscow, "Nauka", 1979 (in Russian). | MR | Zbl
, .[4] Filtered statistical models and Hellinger processes. Stochastic Processes and their Applications 32, 3-45 (1989). | MR | Zbl
.[5] Convergence of filtered statistical models and Hellinger processes. Stochastic Processes and their Applications 32, 47-68 (1989). | MR | Zbl
[6] Limit theorems for stochastic processes. Springer-Verlag, Berlin Heildelberg, 1987. | MR | Zbl
, .[7] Weak convergence of likelihood ratio process. Uspehi mat. nauk, 39 (4), 167 (1984). | MR
.[8] Parameter estimation for stochastic processes. Erevan, A.N. ARSSR, 1980 (in Russian) | Zbl
.[9] Parameter estimation for stochastic processes. Heldermann Verlag, Berlin, 1984. | MR | Zbl
.[10] Identification of dynamic systems with small noise (to appear). | Zbl
.[11] Convex statistical distances. Leipzig : Teubner, 1987. | MR | Zbl
, .[12] Théorèmes limite fonctionnels pour les processus de vraisemblance (cadre asymptotiquement non gaussien). Publications de l'I.R.M.A.R., Rennes 1985. | Numdam | MR | Zbl
.[13] An extended martingale principle. Ann. Probab. 6(1), 144-150 (1978). | MR | Zbl
.[14] An integral representation for the Hellinger distance. Math. Scand. 58, 239-257 (1986). | MR | Zbl
, .[15] Functional limit theorems for the likelihood ratio processes. Annales Universitatis Scientiarum Budapestinenses de Rolando Eötvös Nominatae, vi, 145-182 (1985). | MR | Zbl
.[16] On the weak convergence of likelihood ratio processes of general statistical parametric models. Stochastics 23, 277-298 (1988). | MR | Zbl
.