Chatchawan Panraksa

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math.PR2026

Finite-sample Borel--Cantelli inequalities under mixing conditions

Chatchawan Panraksa

We prove explicit one-lag, finite- $N$ lower bounds for $P (⋃_{k = 1}^{N} A_{k})$ that use only the marginal probabilities $P (A_{k})$ and a single selected-lag dep…

math.PR2026★ 1 cited

A finite-sample Borel--Cantelli inequality under $m$ -dependence

Chatchawan Panraksa

We prove an explicit finite-sample version of the Borel--Cantelli lemma under $m$ -dependence. Given any $m$ -dependent sequence of events $(A_{k})_{1 \leq k \leq N}$ , we show that \[ \m…

Finite-sample Borel--Cantelli inequalities under mixing conditions

A finite-sample Borel--Cantelli inequality under m-dependence

A finite-sample Borel--Cantelli inequality under $m$ -dependence