On the strong law of large numbers for sums of pairwise independent random variables

DOI10.1016/0167-7152(94)00201-IzbMath0842.60026MaRDI QIDQ1907885

Alexander I. Martikainen

Publication date: 11 March 1996

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

strong law of large numbersalmost sure convergencepairwise independent random variables

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (4)

On Rio's proof of limit theorems for dependent random fields ⋮ Marcinkiewicz-Zygmund type strong law of large numbers for pairwise i.i.d. random variables ⋮ On the Baum-Katz theorem for sequences of pairwise independent random variables with regularly varying normalizing constants ⋮ Sharp Bounds for Generalized Order Statistics via Logarithmic Moments

Cites Work

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• A stationary pairwise independent absolutely regular sequence for which the central limit theorem fails
• Bemerkung über paarweise unabhängige zufällige Größen. (Remark on pairwise independent random variables)
• Bemerkungen zum Gesetz der großen Zahlen
• Some pairwise independent sequences for which the central limit theorem fails
• Note on the Concept ofm-Dependence
• An elementary proof of the strong law of large numbers
• On a Theorem of Feller

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