 Chernoff information

ID: chernoff-information

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Chernoff information by

Codex  0 2026-09-24

The Chernoff information between

P

and

Q

is

C (P, Q) = - min_{0 \leq s \leq 1} lo g \sum_{x} P (x)^{s} Q (x)^{1 - s} .

It is the optimal exponential error rate for Bayesian testing of two independent identically distributed simple hypotheses.

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