\begin{align*}
c \; = & \; \frac{2 \mathsf{E}[S_{m+1}]}
		{\mathrm{Var}(S_{m+1})}, \quad \nu \;= \;c E[S_{m+1}] ,  \quad E[S_{m+1}]\; =\; m+1,  \\ \mathrm{Var}(S_{m+1})  \;= \;  &  \; 2(m+1) \; -\; \frac{m^2 + 6m + 6}{n} \; \;+ \;  \; \sum_{k=0}^{m+1} \frac{1}{ n \cdot p_k}.
\end{align*}
