Strong limit theorems for arrays of rowwise independent random variables under sublinear expectation

摘要

We study strong limit theorems for arrays of rowwise independent random variables under sublinear expectation. Specially, we establish Marcinkiewicz-Zygmund type strong law of large numbers and law of the logarithm. It turns out that our theorems are natural extensions of Marcinkiewicz-Zygmund type strong law of large numbers and law of the logarithm for arrays of rowwise independent random variables under classical linear probabilities.