RDP 2018-08: Econometric Perspectives on Economic Measurement Equation (F8)

\begin{array}{l} \sum_{t} \frac{q_{t v}}{{\hat{α}}_{t}} (\frac{p_{t v}}{{\hat{λ}}_{v}} - {\hat{α}}_{t}) = 0 & \forall v & \Rightarrow & {\hat{λ}}_{v} = \frac{\sum_{t} \frac{p_{t v} q_{t v}}{{\hat{α}}_{t}}}{\sum_{t} q_{t v}} & \forall v \end{array}