The Skorokhod representation method of proving martingale invariance principles has received only limited attention. This paper shows it to be a very powerful tool. We use the representation to obtain sufficient conditions for a sequence of random functions to be tight, and to give a direct proof of an invariance principle.
@article{1176995094,
author = {Hall, Peter},
title = {On the Skorokhod Representation Approch to Martingale Invariance Principles},
journal = {Ann. Probab.},
volume = {7},
number = {6},
year = {1979},
pages = { 371-376},
language = {en},
url = {http://dml.mathdoc.fr/item/1176995094}
}
Hall, Peter. On the Skorokhod Representation Approch to Martingale Invariance Principles. Ann. Probab., Tome 7 (1979) no. 6, pp. 371-376. http://gdmltest.u-ga.fr/item/1176995094/