This paper derives sufficient conditions for superconvergence of sums of bounded free random variables and provides an estimate for the rate of superconvergence.
Publié le : 2007-09-14
Classification:
Free probability,
free convolutions,
noncommutative probability,
central limit theorem,
large deviations,
46L54,
60F05,
60B99,
46L53
@article{1189000932,
author = {Kargin, Vladislav},
title = {On superconvergence of sums of free random variables},
journal = {Ann. Probab.},
volume = {35},
number = {1},
year = {2007},
pages = { 1931-1949},
language = {en},
url = {http://dml.mathdoc.fr/item/1189000932}
}
Kargin, Vladislav. On superconvergence of sums of free random variables. Ann. Probab., Tome 35 (2007) no. 1, pp. 1931-1949. http://gdmltest.u-ga.fr/item/1189000932/