Convergence theorems form the backbone of probability theory and statistical inference, ensuring that sequences of random variables behave in a predictable manner as their index grows. These theorems, ...

In this paper we derive some results concerning the relation between ordinary pointwise convergence, convergence in the sense of Schwartz distributions (weak convergence), and norm convergence of ...

This is a preview. Log in through your library . Abstract In this paper we establish maximal inequalities for ρ-mixing sequences and, as a consequence, we obtain the convergence of the expected value ...