A convexification argument is offered which implies that the strong law of large numbers for random compact sets in a Banach space is valid without a convexity assumption.
Publié le : 1985-02-14
Classification:
Random compact sets,
strong law,
60D05,
60F15
@article{1176993083,
author = {Artstein, Zvi and Hansen, Jennie C.},
title = {Convexification in Limit Laws of Random Sets in Banach Spaces},
journal = {Ann. Probab.},
volume = {13},
number = {4},
year = {1985},
pages = { 307-309},
language = {en},
url = {http://dml.mathdoc.fr/item/1176993083}
}
Artstein, Zvi; Hansen, Jennie C. Convexification in Limit Laws of Random Sets in Banach Spaces. Ann. Probab., Tome 13 (1985) no. 4, pp. 307-309. http://gdmltest.u-ga.fr/item/1176993083/