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math.PR2017
On the Strong Law of Large Numbers for Sequences of Pairwise Independent Random Variables
Valery Korchevsky
We establish new sufficient conditions for the applicability of the strong law of large numbers (SLLN) for sequences of pairwise independent non-identically distributed random vari…
math.PR2014
A Generalization of the Petrov Strong Law of Large Numbers
Valery Korchevsky
In 1969 V.V.~Petrov found a new sufficient condition for the applicability of the strong law of large numbers to sequences of independent random variables. He proved the following…
math.PR2014★ 3 cited
Marcinkiewicz-Zygmund Strong Law of Large Numbers for Pairwise i.i.d. Random Variables
Valery Korchevsky
It is shown that the Marcinkiewicz-Zygmund strong law of large numbers holds for pairwise independent identically distributed random variables. It is proved that if $X_{1}, X_{2},…