Table 2.

Essential factors of moment expressions.

	$\mathrm{E}\left({\widehat{D}}_w^2\right)$	$\mathrm{E}\left({\widehat{D}}_b^2\right)$	$\mathrm{E}\left({\widehat{D}}_w{\widehat{D}}_b\right)$	$\mathrm{E}\left({\widehat{D}}^2\right)$	$\mathrm{E}\left({\widehat{\mathrm{\Delta }}}^2\right)$	$\mathrm{E}\left(\widehat{Q}\right)$	$\mathrm{E}\left(\widehat{R}\right)$	Divisor
${\mathrm{\Phi }}_1{\mathrm{\Theta }}_1$	$n^2{v}^2\times$ $\left(2+v{v}_2\right)$	${\lambda }_7$	$-nv\times$ $\left(v{v}_1+{\lambda }_1\right)$	$v_1^2{\lambda }_5$	$2v^2{n}_1^2{v}_1^2$	$2v_1^2$	$2v^2{n}_1^2{v}_1^2$	$n^3{v}^3{v}_1\mathrm{/}Q$
${\mathrm{\Phi }}_2{\mathrm{\Theta }}_2$	$n^2{v}^2$	$2$	$-nv$	${\lambda }_5$	$v^2{\lambda }_2$	$2$	$2v^2$	$n^3{v}^2\mathrm{/}{n}_{1}Q$
${\mathrm{\Gamma }}_1$	$-2n^2{v}^2$	$-2{\lambda }_1$	$nv\left(1+{\lambda }_4\right)$	$-2v_1{\lambda }_3$	$2v^2{v}_1{\lambda }_2$	$4v_1$	$4v^2{v}_1$	$n^3{v}^2\mathrm{/}{n}_{1}Q$
${\mathrm{\Gamma }}_2$	$0$	$-2{\lambda }_1$	$-nv{v}_2$	$-2v_1{\lambda }_3$	$-4v^2{n}_1{v}_1$	$4v_1$	$-4v^2{n}_1{v}_1$	$n^3{v}^2/2n_{1}Q$
${\mathrm{\Gamma }}_3$	$0$	$4$	$-nv$	$-2{\lambda }_3$	$-2v^2{n}_2$	$4$	$4v^2$	$n^{3}v/n_1{n}_{2}Q$
${\mathrm{\Gamma }}_4$	$-2n^2{v}^2{v}_2$	$2{\lambda }_1{\lambda }_4$	${\lambda }_6$	$-2v_1^2{\lambda }_3$	$4v^2{n}_1^2{v}_1^2$	$4v_1^2$	$4v^2{n}_1^2{v}_1^2$	$n^3{v}^3{v}_1/v_{2}Q$
${\mathrm{\Delta }}_1$	$n^2{v}^2$	${\lambda }_7$	$-nv{\lambda }_4$	$2v_1^2$	$v^2{v}_1^2{\lambda }_2$	$2v_1^2$	$2v^2{v}_1^2$	$n^3{v}^2/n_{1}Q$
${\mathrm{\Delta }}_2$	$0$	$1$	$0$	$1$	$v^2$	$1$	$v^2{n}_1^2$	$n^3{v}^2/n_1{v}_1^{2}Q$
${\mathrm{\Delta }}_3$	$0$	$-2{\lambda }_1$	$nv$	$4v_1$	$-2v^2{n}_2{v}_1$	$4v_1$	$4v^2{v}_1$	$n^{3}v/n_1{n}_{2}Q$
${\mathrm{\Delta }}_4$	$0$	$v_1$	$0$	$v_1$	$v^2{v}_1$	$v_1$	$-v^2{n}_1{v}_1$	$n^{3}v/2n_1{n}_{2}Q$
${\mathrm{\Delta }}_5$	$0$	$1$	$0$	$1$	$v^2$	$1$	$v^2$	$n^3/n_1{n}_2{n}_{3}Q$
${\mathrm{\Delta }}_6$	$n^2{v}^2$	${\lambda }_4^2$	$-nv{\lambda }_4$	$v_1^2$	$v^2{n}_1^2{v}_1^2$	$v_1^2$	$v^2{n}_1^2{v}_1^2$	$n^3{v}^3{v}_1/v_2{v}_{3}Q$
${\mathrm{\Delta }}_7$	$0$	$-2{\lambda }_4$	$nv$	$2v_1$	$-2v^2{n}_1{v}_1$	$2v_1$	$-2v^2{n}_1{v}_1$	$n^3{v}^2/2n_1{v}_{2}Q$

For brevity, we denote $n-i$ by $n_i$ and $v-i$ by $v_i$, and let ${\lambda }_1=n_{2}v+2$, ${\lambda }_2=n{n}_2+2$, ${\lambda }_3=nv-2$, ${\lambda }_4=v{n}_1+1$, ${\lambda }_5=2+nv{\lambda }_3$, ${\lambda }_6=nv\left[2+\left({\lambda }_3-{\lambda }_4\right)\left(1+{\lambda }_4\right)\right]$, ${\lambda }_7=2+2n_{2}v+{\lambda }_2{v}^2$.