A. T. Akhmyarova, A. Yu. Veretennikov, “On strong law of large numbers for pairwise independent random variables”, Teor. Veroyatnost. i Primenen., 2024, Volume 69, Issue 3,Pages <nobr>427

On strong law of large numbers for pairwise independent random variables

A. T. Akhmyarova^ab, A. Yu. Veretennikov^b

^a Lomonosov Moscow State University
^b Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow

Abstract: A new version of a strong law of large numbers for pairwise independent random variables is proposed. The main goal is to relax the assumption of existence of the expectation for each summand. The assumption of pairwise independence is also relaxed.

Keywords: strong law of large numbers, partial pairwise independence.

MSC: 60F15

Received: 19.06.2023
Revised: 17.09.2023
Accepted: 31.10.2023

DOI: 10.4213/tvp5662