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Influence function of a trimmed mean
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Mathematics
Area of mathematics
Probability and statistics
Statistical inference
Robust statistics
Trimmed mean
2026-09-28
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At
a
differentiable
distribution
symmetric about zero, put
k
=
−
F
−
1
(
α
)
. The
influence function
of the
α
-
trimmed mean
is
IF
(
x
;
T
,
F
)
=
1
−
2
α
m
a
x
(
−
k
,
m
i
n
(
x
,
k
))
.
(1)
Ancestors
(7)
Trimmed mean
Robust statistics
Statistical inference
Probability and statistics
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 223
/
2
/
a
/
Solution
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