In this paper it is shown that the classical local conditions for sample continuity of random processes without discontinuities of the second kind may be replaced by weaker ones of a simpler form. When such a process is obtained as the limit in distribution in the Skorohod topology, the new conditions may be conveniently restated in terms of the sequence.
Publié le : 1973-06-14
Classification:
Sample continuity,
random processes without discontinuities of the second kind,
weak convergence,
60G17
@article{1176996948,
author = {Kallenberg, Olav},
title = {Conditions for Continuity of Random Processes without Discontinuities of the Second Kind},
journal = {Ann. Probab.},
volume = {1},
number = {5},
year = {1973},
pages = { 519-526},
language = {en},
url = {http://dml.mathdoc.fr/item/1176996948}
}
Kallenberg, Olav. Conditions for Continuity of Random Processes without Discontinuities of the Second Kind. Ann. Probab., Tome 1 (1973) no. 5, pp. 519-526. http://gdmltest.u-ga.fr/item/1176996948/