Mathematica > Data Manipulation > Statistical Data Analysis > Probability & Statistics > Statistical Moments and Generating Functions > PowerSymmetricPolynomial >
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Mathematica > Data Manipulation > Statistical Data Analysis > Probability & Statistics > Statistical Distribution Functions > Statistical Moments and Generating Functions > PowerSymmetricPolynomial >

PowerSymmetricPolynomial

PowerSymmetricPolynomial[r]
represents a formal power symmetric polynomial with exponent r.
PowerSymmetricPolynomial
represents a multivariate formal power symmetric polynomial with exponents , , ....
PowerSymmetricPolynomial
gives the power symmetric polynomial in data.
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PowerSymmetricPolynomial of order 0 is effectively the number of data points:
Use MomentEvaluate to evaluate formal power symmetric polynomials on data:
TraditionalForm formatting:
Linearize power symmetric polynomials using AugmentedSymmetricPolynomial:
Check equality for 5 variables:
PowerSymmetricPolynomial is equivalent to AugmentedSymmetricPolynomial with a single exponent:
This relationship also holds for the multivariate generalization:
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