Description Usage Arguments Details Value Examples
Generate a string with symbolic expression for expectation of powers and products of noncentral (raw) sample moments of an arbitrary order.
1  one_combination(powvect, smpsize = "n")

powvect 
vector of nonnegative integers representing exponents
j[1], ..., j[m] of noncentral moments in
expectation (see "Details"). The position (index) of an element of this
vector indicates a corresponding moment, e.g. for E(\overline{X}^5
\overline{X^4}), 
smpsize 
symbol to be used for sample size. Defaults to 
For a zeromean random variable X
and a sample X[1], ..., X[n], find E(Xbar^{j_1}
{X^2}bar^{j[2]} \cdots {X^m}bar^{j[m]}), where {X^k}bar = sum_{i = 1}^n X[i]^k is a k'th
noncentral sample moment. The expression is given in terms of sample size
and true moments μ[k] of X. These expectations can
subsequently be used for generating unbiased central moment estimators of an
arbitrary order, Edgeworth expansions, and possibly solving other
higherorder problems.
A string representing a symbolic expression for further processing using computer algebra (e.g. with Sage or SymPy), for calculating numeric values, or to be rendered with Latex.
1  one_combination(c(5, 0, 2, 1))

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