On the asymptotic behavior of sums of pairwise independent random variables

DOI10.1016/0167-7152(91)90144-GzbMath0721.60026MaRDI QIDQ2640987

Juan Antonio Cuesta, Carlos Matrán

Publication date: 1991

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

zbMATH Keywords

pairwise independentKolmogorov 0-1 lawtotal independent

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Zero-one laws (60F20)

Related Items (4)

A random-projection based test of Gaussianity for stationary processes ⋮ A counterexample to the existence of a general central limit theorem for pairwise independent identically distributed random variables ⋮ On a stationary, triple-wise independent, absolutely regular counterexample to the central limit theorem ⋮ Almost sure lim sup behavior of bootstrapped means with applications to pairwise i. i. d. sequences and stationary ergodic sequences

Cites Work

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• On the laws of large numbers for nonnegative random variables
• A pairwise independent stationary stochastic process
• A stationary pairwise independent absolutely regular sequence for which the central limit theorem fails
• On a set of almost deterministic k-independent random variables
• 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 Sequence of Almost Deterministic Pairwise Independent Random Variables

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