Let {Xi:-∞<i<∞} be a Φ-mixing stationary sequence of random vectors with distribution function F and ξ=E(X1) be the corresponding empirical distribution function of X1,…,Xn,then we obtain an uniform almost sure representation of │{Fn(x)-F(x)}-{Fn(ξ)-F(ξ)}│ under different Φ -mixing conditions on Xi.
