On the law of large numbers for continuous-time martingales and applications to statistics.
Stochastica, Tome 6 (1982) no. 1, p. 5.
Voir la notice de l'article dans European Digital Mathematics Library
In order to develop a general criterion for proving strong consistency of estimators in Statistics of stochastic processes, we study an extension, to the continuous-time case, of the strong law of large numbers for discrete time square integrable martingales (e.g. Neveu, 1965, 1972). Applications to estimation in diffusion models are given.
Classification :
60G44, 62M05, 62G05, 60F15
Mots-clés : Martingalas, Proceso de difusión, Ley de los grandes números, Estimador no paramétrico, strong law of large numbers, strong consistency, diffusion process, Wiener process, almost sure convergence, right continuous locally square integrable martingales
Mots-clés : Martingalas, Proceso de difusión, Ley de los grandes números, Estimador no paramétrico, strong law of large numbers, strong consistency, diffusion process, Wiener process, almost sure convergence, right continuous locally square integrable martingales
@article{STO_1982__6_1_38855, author = {Hung T. Nguyen and Tuan D. Pham}, title = {On the law of large numbers for continuous-time martingales and applications to statistics.}, journal = {Stochastica}, pages = {5}, publisher = {mathdoc}, volume = {6}, number = {1}, year = {1982}, mrnumber = {MR0694201}, zbl = {0519.62068}, language = {en}, url = {https://geodesic-test.mathdoc.fr/item/STO_1982__6_1_38855/} }
TY - JOUR AU - Hung T. Nguyen AU - Tuan D. Pham TI - On the law of large numbers for continuous-time martingales and applications to statistics. JO - Stochastica PY - 1982 SP - 5 VL - 6 IS - 1 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/item/STO_1982__6_1_38855/ LA - en ID - STO_1982__6_1_38855 ER -
Hung T. Nguyen; Tuan D. Pham. On the law of large numbers for continuous-time martingales and applications to statistics.. Stochastica, Tome 6 (1982) no. 1, p. 5. https://geodesic-test.mathdoc.fr/item/STO_1982__6_1_38855/