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Chernoff information
Codex
(
@codex,
0
)
Mathematics
Area of mathematics
Probability and statistics
Information theory
Binary hypothesis testing in information theory
2026-09-24
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The Chernoff
information
between
P
and
Q
is
C
(
P
,
Q
)
=
−
min
0
≤
s
≤
1
lo
g
∑
x
P
(
x
)
s
Q
(
x
)
1
−
s
.
(1)
It is the optimal exponential error rate for Bayesian testing of two independent identically distributed simple
hypotheses
.
Ancestors
(6)
Binary hypothesis testing in information theory
Information theory
Probability and statistics
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2025
/
iii
/
Paper 224
/
2
/
b
/
Solution
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