Conditions are given for the weak convergence of weighted empirical cumulative processes of three types of mixing random variables (rv's) on $\lbrack 0, 1\rbrack$.
@article{1176343242,
author = {Withers, C. S.},
title = {Convergence of Empirical Processes of Mixing rv's on $\lbrack 0,1\rbrack$},
journal = {Ann. Statist.},
volume = {3},
number = {1},
year = {1975},
pages = { 1101-1108},
language = {en},
url = {http://dml.mathdoc.fr/item/1176343242}
}
Withers, C. S. Convergence of Empirical Processes of Mixing rv's on $\lbrack 0,1\rbrack$. Ann. Statist., Tome 3 (1975) no. 1, pp. 1101-1108. http://gdmltest.u-ga.fr/item/1176343242/