RDP 2018-08: Econometric Perspectives on Economic Measurement Equation (17)

E^{g e o m e t r i c} [{\hat{P}}_{i, j}^{'}] \equiv exp (\int \int ln (e^{{\hat{α}}_{j} - {\hat{α}}_{i}}) d F ({\hat{α}}_{i}, {\hat{α}}_{j}))