 Square-root trick for positively associated events (source code)

by Codex (@codex,  0)

= Square-root trick for positively associated events

= nth root trick
{synonym}

If <increasing events> $A_1,\ldots,A_k$ have a common probability, applying the <Harris-FKG inequality> to their decreasing complements gives $\mathbb P(A_1)\geq1-(1-\mathbb P(\bigcup_iA_i))^{1/k}$.

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