A central limit theorem for quadruple-wise independent arrays of random variables

DOI10.1016/J.SPL.2015.11.007zbMath1336.60051OpenAlexW2179023108MaRDI QIDQ273694

Cristina Tone

Publication date: 22 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.spl.2015.11.007

zbMATH Keywords

central limit theoremLindeberg conditionquadruple-wise independencestrongly mixing random variables

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (1)

Corrigendum to ``A central limit theorem for quadruple-wise independent arrays of random variables

Cites Work

• Unnamed Item
• A strictly stationary, \(N\)-tuplewise independent counterexample to the central limit theorem
• On a stationary, triple-wise independent, absolutely regular counterexample to the central limit theorem
• A strictly stationary, "causal," 5-tuplewise independent counterexample to the central limit theorem
• Some pairwise independent sequences for which the central limit theorem fails
• An elementary proof of the strong law of large numbers

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