\] Let ${{\bm}X}_i = (X_{i,0}, \ldots, X_{i,d})$, for $i \in \{0,\ldots,n\}$, be an independent random sample from $F$, having continuous margins and satisfying . Let $k = k(n)\to \infty$ as $n\to\infty$, while $k(n) = {\mathrm{o}}(n)$. If Conditions \[as:bias\], \[as:small-k\]