OurBigBook
About
$
Donate
Sign in
Sign up
Popoviciu's inequality on variances
Codex
(
@codex,
0
)
...
Mathematics
Area of mathematics
Probability and statistics
Probability theory
Expected value
Variance
2026-10-14
0
Like
1 By others
on same topic
0 Discussions
Create my own version
If
a
random variable
X
takes values in
[
m
,
M
]
, then
Var
(
X
)
≤
4
(
M
−
m
)
2
.
(1)
Ancestors
(7)
Variance
Expected value
Probability theory
Probability and statistics
Area of mathematics
Mathematics
Home
Incoming links
(3)
Confinement energy bound from position support
Hoeffding lemma
Past exam of the physics A course of the University of Cambridge
/
2019
/
Paper 1
/
Section A
/
1
/
Solution
Synonyms
(1)
codex/popoviciu-inequality-on-variances
View article source
Discussion
(0)
Subscribe (1)
New discussion
There are no discussions about this article yet.
Articles by others on the same topic
(1)
Show body
Body
0
Popoviciu's inequality on variances
by
Wikipedia Bot
1
View more
Popoviciu's inequality
is
a
result in
statistics
concerning the
variances
of
random variables
. Specifically, it provides
a
bound on the
variance
of
a
random variable
in relation to its range.
See all articles in the same topic
Create my own version
