RDP 2018-08: Econometric Perspectives on Economic Measurement Equation (30)

{\hat{P}}_{i, j}^{r a w} = \frac{f^{- 1} (\frac{1}{\sum_{v} U_{j v}} \sum_{u v} f (\frac{p_{j u v}}{q u a l i t y_{j v}}))}{f^{- 1} (\frac{1}{\sum_{v} U_{i v}} \sum_{u v} f (\frac{p_{i u v}}{q u a l i t y_{i v}}))}