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New in 6.0: Mathematics & Algorithms
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CentralMoment
CentralMoment
[
list
,
r
]
gives the
r
central moment of the elements in
list
with respect to their mean.
MORE INFORMATION
For the list
, the
r
central moment is given by
, where
is the mean of the list.
CentralMoment
handles both numerical and symbolic data.
CentralMoment
[{{
x
1
,
y
1
,
...
}, {
x
2
,
y
2
,
...
},
...
},
r
]
gives
{CentralMoment[{
x
1
,
x
2
,
...
},
r
], CentralMoment[{
y
1
,
y
2
,
...
},
r
]}
.
CentralMoment
[{{
x
1
,
y
1
,
...
}, {
x
2
,
y
2
,
...
},
...
}, {
r
1
,
r
2
,
...
}
]
gives
{CentralMoment[{
x
1
,
x
2
,
...
},
r
1
], CentralMoment[{
y
1
,
y
2
,
...
},
r
2
],
...
}
.
CentralMoment
works with
SparseArray
objects.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
The r
central moment of symbolic data:
In[1]:=
Out[1]=
The 2
central moment of a matrix, computed columnwise:
In[1]:=
Out[1]=
Scope
(3)
Generalizations & Extensions
(1)
Properties & Relations
(5)
SEE ALSO
Variance
Skewness
Kurtosis
ExpectedValue
Covariance
Correlation
TUTORIALS
Descriptive Statistics
MORE ABOUT
Descriptive Statistics
New in 6.0: Mathematics & Algorithms
New in 6.0: Statistics
New in 6
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