Equivalent mixing conditions for Markov chains
The author proves that for Markov chains the \(\psi\)-mixing condition introduced by \textit{J. R. Blum, D. L. Hanson} and \textit{L. H. Koopmans} [Z. Wahrscheinlichkeitstheorie Verw. Geb. 2, 1-11 (1963; Zbl 0117.35603)] and the \(\psi^\ast\)-mixing (or ``upper \(\psi\)-mixing'') condition are equivalent to each other. Moreover, a Markov chain is \(\psi^\ast\)-mixing if and only if its mixing coefficients become eventually smaller than 2.
scientific article; zbMATH DE number 1348357