	\begin{equation}\label{eq:vf-holders}
		V_{f_{h_i}}(t) :=\dfrac{\sum_{\tau\in{\mathcal{T}_i}}n_{\tau}(t)\pi_{\tau\rightarrow t}(t)}{\sum_{\tau\leq t}n_{\tau}(t)\pi_{\tau\rightarrow t}(t)} = \dfrac{V_{\mathcal{T}_i}(t)}{V(t)}\quad\quad i=1,2,3~,
	\end{equation}
