A local convergence theorem for a class of martingales with multidimensional time parameter is proved. This is accomplished by an elaboration of stopping time arguments used in the one-dimensional setting.
Publié le : 1980-06-14
Classification:
Multidimensional time martingales,
convergence of martingales,
60G45
@article{1176994731,
author = {Gundy, Richard F.},
title = {Local Convergence of a Class of Martingales in Multidimensional Time},
journal = {Ann. Probab.},
volume = {8},
number = {6},
year = {1980},
pages = { 607-614},
language = {en},
url = {http://dml.mathdoc.fr/item/1176994731}
}
Gundy, Richard F. Local Convergence of a Class of Martingales in Multidimensional Time. Ann. Probab., Tome 8 (1980) no. 6, pp. 607-614. http://gdmltest.u-ga.fr/item/1176994731/