RDP 2018-08: Econometric Perspectives on Economic Measurement Equation (31)

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