On the existence of exchangeable or stationary sequences of \(s\) by \(s\) independent random variables

zbMath0819.60035MaRDI QIDQ1347270

A. Kłopotowski, Jean Bretagnolle

Publication date: 4 April 1995

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPB_1995__31_2_325_0

zbMATH Keywords

exchangeable random variablesstationary sequencesmutually independentpairwise independent

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Foundations of probability theory (60A99) Exchangeability for stochastic processes (60G09)

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A counterexample to the existence of a general central limit theorem for pairwise independent identically distributed random variables ⋮ An ergodic Markov chain is not determined by its two-dimensional marginal laws ⋮ An ergodic Markov chain is not determined by any \(p\)-marginals

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