SymIndx

Vector symmetrizing a T-product of vectors of the same dimension d.
Produces the same results as SymMatr

Algorithms to build set partitions and commutator matrices and their use in the
construction of multivariate d-Hermite polynomials;  estimation and derivation of theoretical  vector moments and vector
cumulants  of multivariate distributions; conversion formulae for multivariate moments and cumulants. Applications to
estimation and derivation of multivariate measures of skewness and kurtosis;  estimation and derivation of asymptotic
covariances for d-variate Hermite polynomials, multivariate moments and cumulants and measures of skewness and kurtosis.
The formulae implemented are discussed in Terdik (2021, ISBN:9783030813925), "Multivariate Statistical Methods".

Emanuele Taufer

MultiStatM

Multivariate Statistical Methods

Gyorgy Terdik

SymIndx function

<dl><dt>x</dt>
<dd>the vector to be symmetrized of dimension d^n</dd>
<dt>d</dt>
<dd>size of the single vectors in the product</dd>
<dt>n</dt>
<dd>power of the T-product</dd></dl>

Arguments

Symmetrizing vector — SymIndx

<dl>

<dt>x</dt>
<dd>the vector to be symmetrized of dimension d^n</dd>


<dt>d</dt>
<dd>size of the single vectors in the product</dd>


<dt>n</dt>
<dd>power of the T-product</dd>

</dl>

SymIndx: Symmetrizing vector

Description

Usage

Value

Arguments

References

See Also

Examples