QplicIndx {MultiStatM}

Qplication vector

Description

Restores the duplicated/q-plicated elements which are eliminated by EliminMatr or EliminIndx in a T-product of vectors of dimension d. It produces the same results as QplicMatr.

Usage

QplicIndx(d, q)

Arguments

d

dimension of the vectors in the T-product

q

power of the Kronecker product

Value

A vector (T-vector) with all elements previously eliminated by EliminIndx

References

Gy. Terdik, Multivariate statistical methods - going beyond the linear, Springer 2021, p.21, (1.31)

See Also

Other Matrices and commutators: EliminIndx(), EliminMatr(), QplicMatr(), SymIndx(), SymMatr(), UnivMomCum()

Examples

x<-c(1,2,3)
y<-kronecker(kronecker(x,x),x)
## Distinct elements of y
z<-y[EliminIndx(3,3)]
## Restore eliminated elements in z
z[QplicIndx(3,3)]