In this paper we give explicit representations for
Kullback--Leibler information numbers between a priori and a
posteriori distributions, when the observations come from a
semimartingale. We assume that the distribution of the observed
semimartingale is described in terms of the so-called triplet of
predictable characteristics. We end by considering the
corresponding notions in a model with a fractional noise.
@article{1046294310,
author = {Dzhaparidze, Kacha and Spreij, Peter and Valkeila, Esko},
title = {Information processes for semimartingale experiments},
journal = {Ann. Probab.},
volume = {31},
number = {1},
year = {2003},
pages = { 216-243},
language = {en},
url = {http://dml.mathdoc.fr/item/1046294310}
}
Dzhaparidze, Kacha; Spreij, Peter; Valkeila, Esko. Information processes for semimartingale experiments. Ann. Probab., Tome 31 (2003) no. 1, pp. 216-243. http://gdmltest.u-ga.fr/item/1046294310/