Complete f-moment convergence for Sung’s type weighted sums of negatively superadditive dependent random variables

In this paper, by utilizing the Marcinkiewicz–Zygmund inequality and Rosenthal type inequality of negatively superadditive dependent (NSD) random arrays and truncated method, the complete f -moment convergence of NSD random variables is studied. We establish and improve a general result on the complete f-moment convergence for Sung’s type randomly weighted sums of negatively superadditivedependent random variables under some general assumptions. As applications, thecomplete consistency for the randomly weighted estimator is obtained in a nonparametric regression model based on NSD errors.