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Self-bounding function
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Mathematics
Area of mathematics
Probability and statistics
Probability theory
Probability inequality
Concentration inequality
Created
2026-09-24
Updated
2026-09-24
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A
nonnegative
function
f
of independent coordinates is self-bounding when there are coordinate-deleted versions
f
i
such that
0
≤
f
−
f
i
≤
1
and
∑
i
(
f
−
f
i
)
≤
f
.
(1)
These
inequalities
make the natural
variance
proxy no larger than the
function
itself.
Ancestors
(7)
Concentration inequality
Probability inequality
Probability theory
Probability and statistics
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 208
/
2
/
b
/
Solution
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