The 
th
sample raw moment 
of a sample with sample size 
is defined as
 |
(1)
|
The sample raw moments are unbiased estimators of the population raw
moments,
 |
(2)
|
(Rose and Smith 2002, p. 253). The sample raw moment 
is related to power sums 
by
 |
(3)
|
This relationship can be given by SampleRawToPowerSum[r] in the Mathematica application package mathStatica.
See also
Central Moment,
Raw Moment,
Sample,
Sample
Central Moment,
Sample Mean
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References
Rose, C. and Smith, M. D. Mathematical Statistics with Mathematica. New York: Springer-Verlag, p. 253, 2002.Referenced
on Wolfram|Alpha
Sample Raw Moment
Cite this as:
Weisstein, Eric W. "Sample Raw Moment."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SampleRawMoment.html
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