This paper considers stochastic differential equations with solutions which are multidimensional diffusion processes with drift coefficient depending on a parametric vector θ. By considering a trajectory observed up to a stopping time, the maximum likelihood estimator for θ has been obtained and its consistency and asymptotic normality have been proved.
@article{urn:eudml:doc:40482, title = {On the estimation of the drift coefficient in diffusion processes with random stopping times.}, journal = {Trabajos de Estad\'\i stica}, volume = {1}, year = {1986}, pages = {57-66}, zbl = {0656.62094}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40482} }
Gutiérrez Jáimez, Ramón; Hermoso Carazo, Aurora; Molina Fernández, Manuel. On the estimation of the drift coefficient in diffusion processes with random stopping times.. Trabajos de Estadística, Tome 1 (1986) pp. 57-66. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40482/