It is proved that the class of stable probability measures and the class of self-decomposible probability measures on Banach spaces are closed under weak convergence.
Publié le : 1973-08-14
Classification:
Infinitely divisible probability measure,
stable probability measure,
self-decomposible probability measure,
compact,
convegence types theorem,
weak convergence,
60B05,
60B10
@article{1176996900,
author = {Kumar, A.},
title = {A Note on the Convergence of Stable and Class L Probability Measures on Banach Spaces},
journal = {Ann. Probab.},
volume = {1},
number = {5},
year = {1973},
pages = { 716-718},
language = {en},
url = {http://dml.mathdoc.fr/item/1176996900}
}
Kumar, A. A Note on the Convergence of Stable and Class L Probability Measures on Banach Spaces. Ann. Probab., Tome 1 (1973) no. 5, pp. 716-718. http://gdmltest.u-ga.fr/item/1176996900/