An ergodic theorem is proved which extends the subadditive ergodic theorem of Kingman and the Banach valued ergodic theorem of Mourier. The theorem is applied to several problems, in particular to a problem on empirical distribution functions.
@article{1176994826,
author = {Ghoussoub, N. and Steele, J. Michael},
title = {Vector Valued Subadditive Processes and Applications in Probability},
journal = {Ann. Probab.},
volume = {8},
number = {6},
year = {1980},
pages = { 83-95},
language = {en},
url = {http://dml.mathdoc.fr/item/1176994826}
}
Ghoussoub, N.; Steele, J. Michael. Vector Valued Subadditive Processes and Applications in Probability. Ann. Probab., Tome 8 (1980) no. 6, pp. 83-95. http://gdmltest.u-ga.fr/item/1176994826/