Sample Central Moment
المؤلف:
Rose, C. and Smith, M. D
المصدر:
Mathematical Statistics with Mathematica. New York: Springer-Verlag
الجزء والصفحة:
...
15-2-2021
1371
Sample Central Moment
The 
th sample central moment 
of a sample with sample size 
is defined as
 |
(1)
|
where 
is the sample mean. The first few sample central moments are related to power sums 
by
These relations can be given by SampleCentralToPowerSum[r] in the Mathematica application package mathStatica.
In terms of the population central moments, the expectation values of the first few sample central moments are
REFERENCES:
Rose, C. and Smith, M. D. Mathematical Statistics with Mathematica. New York: Springer-Verlag, p. 251, 2002.
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