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Maximum entropy distribution on a finite set
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Mathematics
Area of mathematics
Probability and statistics
Information theory
Information entropy
Created
2026-09-24
Updated
2026-09-24
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Among
probability distributions
on
a
finite set
of
m
elements, the
uniform distribution
uniquely maximizes
information entropy
, attaining
lo
g
m
.
Ancestors
(6)
Information entropy
Information theory
Probability and statistics
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2025
/
iii
/
Paper 164
/
2
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2025
/
iii
/
Paper 164
/
3
/
i
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 224
/
4
/
c
/
Solution
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