Weak convergence for empirical processes of associated sequences
Weak convergence for the row sums of a triangular array of empirical processes indexed by a manageable triangular array of functions.
Weak convergence of summation processes in Besov spaces
We prove invariance principles for partial sum processes in Besov spaces. This functional framework allows us to give a unified treatment of the step process and the smoothed process in the same parametric scale of function spaces. Our functional central limit theorems in Besov spaces hold for i.i.d. sequences and also for a large class of weakly dependent sequences.
Weak convergence of the corrected empirical -statistics under mixing condition. (Convergence faible de la -statistique empirique corrigée en condition de mélange.)
Weak convergence to Ocone martingales: a remark.
Wiener process with reflection in non-smooth narrow tubes.