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 Explore with Wolfram|Alpha
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 Resource. https://mathworld.wolfram.com/SampleRawMoment.html
Subject classifications
