Complete convergence for arrays of rowwise END random variables and its statistical applications under sub-linear expectations

Abstract

In this paper, we study the complete convergence for arrays of rowwise extended negatively dependent (END, for short) random variables under sub-linear expectations. Some general results on complete convergence for arrays of rowwise END random variables under sub-linear expectations are established, which extend some corresponding ones from the traditional probability space to the sub-linear expectation space. As applications, we apply the obtained results to nonparametric regression models based on END errors in (Ω,H,Eˆ).