D. Terrell, INCORPORATING MONOTONICITY AND CONCAVITY CONDITIONS IN FLEXIBLE FUNCTIONAL FORMS, Journal of applied econometrics, 11(2), 1996, pp. 179-194
Empirical economists using flexible functional forms often face the di
sturbing choice of drawing inferences from an approximation violating
properties dictated by theory or imposing global restrictions that gre
atly restrict the flexibility of the functional form. Focusing on the
cost function, this paper presents an alternative approach which impos
es monotonicity and concavity properties only over the set of prices w
here inferences will be drawn. An application investigating elasticiti
es for Berndt-Wood data set using the translog, generalized Leontief,
and symmetric generalized McFadden flexible functional forms illustrat
es the technique.