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English
smoothness
in probability theory, measure of a density function
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Statements
defining formula
∃
d
0
,
d
1
,
β
,
t
0
>
0
∀
t
>
t
0
:
d
0
|
t
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−
β
≤
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E
(
i
t
X
)
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≤
d
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t
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−
β
{\displaystyle \exists d_{0},d_{1},\beta ,t_{0}>0\forall t>t_{0}\colon d_{0}|t|^{-\beta }\leq |\mathbb {E} (\mathrm {i} tX)|\leq d_{1}|t|^{-\beta }}
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in defining formula
X
{\displaystyle X}
symbol represents
real random variable
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E
(
i
t
X
)
{\displaystyle \mathbb {E} (\mathrm {i} tX)}
symbol represents
characteristic function
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maintained by WikiProject
WikiProject Mathematics
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Identifiers
Freebase ID
/m/07khfwk
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Sitelinks
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(1 entry)
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enwiki
Smoothness (probability theory)
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