On the Glivenko-Cantelli theorem for real-valued empirical functions of stationary $\alpha$-mixing and $\beta$-mixing sequences

Ousmane Coulibaly, Harouna Sangaré

In this paper we extend the classical Glivenko-Cantelli theorem to real-valued empirical functions under dependence structures characterised by $\alpha$-mixing and $\beta$-mixing conditions…