A strictly stationary, "causal," 5-tuplewise independent counterexample to the central limit theorem

zbMath1276.60042arXiv0911.2905MaRDI QIDQ2865826

Richard C. jun. Bradley

Publication date: 3 December 2013

Full work available at URL: https://arxiv.org/abs/0911.2905

zbMATH Keywords

causal5-tuplewise independentcounterexample to the central limit theoremtrivial double tail \(\sigma \)-field

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10)

Related Items (5)

A central limit theorem for quadruple-wise independent arrays of random variables ⋮ Corrigendum to ``A central limit theorem for quadruple-wise independent arrays of random variables ⋮ A counterexample to the existence of a general central limit theorem for pairwise independent identically distributed random variables ⋮ On the CLT for stationary Markov chains with trivial tail sigma field ⋮ A strictly stationary, \(N\)-tuplewise independent counterexample to the central limit theorem

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