Explicit finite-N lower bounds for union probabilities under phi- or alpha-mixing are proved via residue-class blocking with spacing coefficient 1/(L+1) and mixing residuals.
Petrov, A note on the Borel–Cantelli lemma, Statist
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Finite-sample Borel--Cantelli inequalities under mixing conditions
Explicit finite-N lower bounds for union probabilities under phi- or alpha-mixing are proved via residue-class blocking with spacing coefficient 1/(L+1) and mixing residuals.