This study derives the relationship between environmental production functions and environmental directional distance functions. These two approaches make different assumptions when modeling the joint production of good and bad outputs. The environmental production function credits a producer...

The regression residual is commonly used as a productivity indicator. However, the observed input demands are endogenous if rational managers adjust their input use for inefficiency. A large stream of studies considers possible solutions to the endogeneity problem that require as little external...

This paper extends the basic results of Houck's insight for derived demand elasticities for the case of joint products by allowing for the possibility of the joint and raw products being traded. Theoretical relationships between individual demands for a set of jointly-produced commodities that...