Efficient particle filters for residual generation in partially observed SDE's
Cérou, Frédéric ; Le Gland, François
HAL, hal-00912040 / Harvested from HAL
The problem of detecting a change in the drift coefficient of a partially observed stochastic differential equation is addressed. The score function, evaluated at the nominal value, is used as the residual, and only the problem of residual generation is considered. In the special case where the drift coefficient depends on the parameter only in directions that are affected by nondegenerate noise, an efficient numerical approximation of the residual is proposed, using particle filters.
Publié le : 2000-12-05
Classification:  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR]
@article{hal-00912040,
     author = {C\'erou, Fr\'ed\'eric and Le Gland, Fran\c cois},
     title = {Efficient particle filters for residual generation in partially observed SDE's},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00912040}
}
Cérou, Frédéric; Le Gland, François. Efficient particle filters for residual generation in partially observed SDE's. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00912040/