\}\)</span> and <span class="math inline">\(\lambda_{ij}^2 \geq
0\)</span> be entries of a strictly conditionally negative definite
matrix <span class="math inline">\(\boldsymbol{\Lambda}\)</span>, for
which <span class="math inline">\(\lambda_{ij}^2=\lambda_{ji}^2\)</span>. Then,
following <span class="citation">Nikoloulopoulos, Joe, and Li
(2009)</span> (Remark~2.5) and <span class="citation">Huser and Davison
(2013)</span>, we can write the distribution function as <span class="math display">\[\begin{ali