V Statistic for Real Matrices — getRealVStat • flintyR

Computes $V$ statistic for a real matrix $\mathbf{X}$ , where $V(\mathbf{X})$ = scaled variance of $l_p^p$ distances between the row samples of $\mathbf{X}$ .

getRealVStat(X, p)

Arguments

X: The $N \times P$ real matrix
p: The power $p$ of $l_p^p$ , i.e., $||x||_p^p = (x_1^p+...x_n^p)$ s

Value

$V(\mathbf{X})$ , the variance of the pairwise $l_p^p$ distance between samples

Details

Dependencies: getLpDistance

Examples

X <- matrix(nrow = 5, ncol = 10, rnorm(50))
getRealVStat(X, p = 2)
#> [1] 6.768452