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math.PR2026★ 2 cited
A finite-sample Borel--Cantelli inequality under -dependence
Chatchawan Panraksa
We prove an explicit finite-sample version of the Borel--Cantelli lemma under -dependence. Given any -dependent sequence of events , we show that \[ \m…
math.PR2026
Finite-sample Borel--Cantelli inequalities under mixing conditions
Chatchawan Panraksa
We prove explicit one-lag, finite- lower bounds for that use only the marginal probabilities and a single selected-lag dep…