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2026 1

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On lower bounds for hypergeometric tails

math.PR · 2026-01-14 · conditional · novelty 6.0

New lower bounds are proven for P(H ≥ E[H]) in the hypergeometric distribution, including a simple bound of k/n when n ≥ 8k and a variance-based bound under additional conditions.

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  • On lower bounds for hypergeometric tails math.PR · 2026-01-14 · conditional · none · ref 13

    New lower bounds are proven for P(H ≥ E[H]) in the hypergeometric distribution, including a simple bound of k/n when n ≥ 8k and a variance-based bound under additional conditions.