@TechReport{iza:izadps:dp2712, author={Christev, Atanas and Featherstone, Allen}, title={A Note on Allen-Uzawa Partial Elasticities of Substitution: The Case of the Translog Cost Function}, year={2007}, month={Mar}, institution={Institute of Labor Economics (IZA)}, address={Bonn}, type={IZA Discussion Paper}, number={2712}, url={https://www.iza.org/index.php/publications/dp2712}, abstract={This note provides a useful property of the Allen-Uzawa partials for the translog cost function. It also suggests how the main results extend to any functional form with certain properties. The curvature of the Allen-Uzawa matrix is the same as the curvature of the Hessian matrix. Intuitively and empirically, the Allen-Uzawa partials allow for the verification of curvature properties.}, keywords={translog cost function;elasticity of substitution;concavity}, }