Some sufficient conditins for tightness of continuous stochastic processes is given. It is verified that in the classical tightness sufficient conditions for continuous stochastic processes it is possible to take a continuous nondecreasing stochastic process instead of a deterministic function one.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1079,
author = {Micha\l\ Kisielewicz},
title = {Tightness of Continuous Stochastic Processes},
journal = {Discussiones Mathematicae Probability and Statistics},
volume = {26},
year = {2006},
pages = {151-162},
zbl = {1142.60024},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1079}
}
Michał Kisielewicz. Tightness of Continuous Stochastic Processes. Discussiones Mathematicae Probability and Statistics, Tome 26 (2006) pp. 151-162. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1079/
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