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Han's entropy inequality
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Mathematics
Area of mathematics
Probability and statistics
f-divergence
Kullback-Leibler divergence
Han's inequality for relative entropy
2026-09-24
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For
a
random vector
X
1
:
n
,
∑
i
=
1
n
H
(
X
(
i
)
)
≥
(
n
−
1
)
H
(
X
1
:
n
)
.
(1)
This is equivalent to
Han's inequality for relative entropy
after expansion against
a
product
reference
measure
.
Ancestors
(7)
Han's inequality for relative entropy
Kullback-Leibler divergence
f-divergence
Probability and statistics
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2024
/
iii
/
Paper 208
/
2
/
a
/
Solution
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