RDP 2018-08: Econometric Perspectives on Economic Measurement Equation (23)

E * [{\hat{P}}_{i, j}^{″}] \equiv {(\int \int (\frac{{\hat{α}}_{j}^{O L S}}{{\hat{α}}_{i}^{O L S}}) d F ({\hat{α}}_{i}, {\hat{α}}_{j}))}^{\frac{1}{θ}}