  We investigate polygamy relations of multipartite entanglement in
arbitrary-dimensional quantum systems. By improving an inequality and using the
$\beta$th ($0\leq\beta\leq1$) power of entanglement of assistance, we provide a
new class of weighted polygamy inequalities of multipartite entanglement in
arbitrary-dimensional quantum systems. We show that these new polygamy
relations are tighter than the ones given in [Phys. Rev. A 97, 042332 (2018)].
