Rita Giuliano Antonini, Luca Pratelli
Abstract
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We prove a Strong Law of Large Numbers in which the variables are assumed to be asymptotically negligible and a generalized Almost Sure Central Limit Theorem is given. As an application we obtain a result about the so-called intersective ASCLT.
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We prove a Strong Law of Large Numbers in which the variables are assumed to be asymptotically negligible and a generalized Almost Sure Central Limit Theorem is given. As an application we obtain a result about the so-called intersective ASCLT.
Key concepts: Mathematics, Central limit theorem, Law of large numbers, Limit (mathematics), Pure mathematics, Mathematical analysis, Law, Random variable