It is shown that a theorem of Bilingsley ((1968) Convergence of Probability Measures, Wiley; Theorem 22.1) about weak convergence of empirical processes of $\varphi$-mixing sequences also holds for a class of strong-mixing sequences.
@article{1176996855,
author = {Deo, Chandrakant M.},
title = {A Note on Empirical Processes of Strong-Mixing Sequences},
journal = {Ann. Probab.},
volume = {1},
number = {5},
year = {1973},
pages = { 870-875},
language = {en},
url = {http://dml.mathdoc.fr/item/1176996855}
}
Deo, Chandrakant M. A Note on Empirical Processes of Strong-Mixing Sequences. Ann. Probab., Tome 1 (1973) no. 5, pp. 870-875. http://gdmltest.u-ga.fr/item/1176996855/