BUILT-IN MATHEMATICA SYMBOL
CentralMoment
CentralMoment[list, r]
gives the r
central moment of the elements in list with respect to their mean.
CentralMoment[dist, r]
gives the r
central moment of the symbolic distribution dist.
- CentralMoment is also known as a moment about the mean.
- CentralMoment handles both numerical and symbolic data.
- For the list
, the 
central moment is given by 
, where 
is the mean of the list.
- CentralMoment[{{x1, y1, ...}, ..., {xn, yn, ...}}, {rx, ry, ...}] gives
.
- CentralMoment works with SparseArray objects.
- For a symbolic distribution dist, the r
central moment is given by Expectation[(x-Mean[dist])r, x
dist].
- For a multivariate symbolic distribution dist, the
central moment is given by Expectation[(x1-
1)r1(x2-2)r2
, {x1, x2, ...}dist] and {1, 2, ...}==Mean[dist].
- CentralMoment[r] can be used in functions such as MomentConvert and MomentEvaluate, etc.
New in 6 | Last modified in 8
formal central moment. 
of a discrete univariate distribution:
of a multivariate distribution:
