2 papers
math.PR2025
On nonlinear weak law of large numbers
Alina Akhmiarova, Alexander Veretennikov
A new version of a weak nonlinear law of large numbers proposed. The existence of the first moment for any summand is not assumed. The assumption of independence is understood in t…
math.PR2024
On the Law of Large Numbers for non-equally distributed weakly dependent random variables
Alina Akhmiarova, Alexander Veretennikov
Three versions of the Weak Law of Large Numbers are proposed for weakly dependent and generally speaking non-equally distributed random variables, with finite or possibly infinite…