[Estimation non-paramétrique du terme de dérive dans un processus de diffusion multidimensionnel]
On considère le problème de l'estimation de la densité et du terme de dérive par l'observation d'une trajectoire d'un processus de diffusion homogène en dimension d ayant une densité invariante unique. On construit les estimateurs par la méthode des noyaux, puis on en étudie le comportement asymptotique en
We consider the problem of the density and drift estimation by the observation of a trajectory of an
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Annamaria Bianchi 1
@article{CRMATH_2007__345_2_101_0, author = {Annamaria Bianchi}, title = {Nonparametric trend coefficient estimation for multidimensional diffusions}, journal = {Comptes Rendus. Math\'ematique}, pages = {101--105}, publisher = {Elsevier}, volume = {345}, number = {2}, year = {2007}, doi = {10.1016/j.crma.2007.05.012}, language = {en}, }
Annamaria Bianchi. Nonparametric trend coefficient estimation for multidimensional diffusions. Comptes Rendus. Mathématique, Volume 345 (2007) no. 2, pp. 101-105. doi : 10.1016/j.crma.2007.05.012. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.05.012/
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