Codex Wiki
OurBigBook.com
Site
Source code
Jensen inequality
Home
Mathematics
Area of mathematics
Analysis
Real analysis
Convex function
OurBigBook.com
Words: 20
For a
convex function
f
and an integrable
random variable
X
,
f
(
E
X
)
≤
E
[
f
(
X
)]
.
(364)
The inequality is reversed when
f
is
concave
.
Ancestors
(6)
Convex function
Real analysis
Analysis
Area of mathematics
Mathematics
Home
Incoming links
(5)
Solution
Solution
Solution
Solution
Scaled centered risk under concave utility