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 ...

Magda Peligrad, The Convergence of Moments in the Central Limit Theorem for ρ-Mixing Sequences of Random Variables, Proceedings of the American Mathematical Society, Vol. 101, No. 1 (Sep., 1987), pp.

N. Frantzikinakis, E. Lesigne, M. Wierdl, Random Sequences and Pointwise Convergence of Multiple Ergodic Averages, Indiana University Mathematics Journal, Vol. 61, No ...