Estimating economic relationships subject to firm- and time-varying equality and inequality constraints

Applied econometricians often fail to impose economic regularity constraints in the exact form economic theory prescribes. We show how the Singular Value Decomposition (SVD) Theorem and Markov Chain Monte Carlo (MCMC) methods can be used to rigorously impose time- and firm-varying equality and inequality constraints. To illustrate the technique we estimate a system of translog input demand functions subject to all the constraints implied by economic theory, including observation-varying symmetry and concavity constraints. Results are presented in the form of characteristics of the estimated posterior distributions of functions of the parameters. Copyright (C) 2001 John Wiley Sons, Ltd.

A critical note on UNDP's gender inequality indices

This paper analyses the different indices applied for the measurement of human development as constructed by the United Nations Development Program. Of special interest is the Gender Development Index (GDI), introduced in the 1995 Human Development Report and the Gender Empowerment Measure (GEM). In light of the mate bias in the Indian socioeconomic context, the application of the GDI and GEM acquires special significance. A critical appraisal of their theoretical base and their application has been undertaken in this paper. The conclusion is that GDI and GEM. although praise-worthy achievements on the part of the UNDP, do not adequately reflect or measure male/female disparity in the Indian context. Both indices suffer from the weakness of employing a pre-assigned value of the Gender Sensitive Equity Indicator. They also exhibit several other shortcomings, outlined here. GDI is a poor indicator of the relative deprivation of females as shown by our analysis of the relationship between the GDI and the female/male ratio for 16 Indian core states.

On the nonlinear Neumann problem involving the critical Sobolev exponent on the boundary

in this paper we investigate the solvability of the Neumann problem (1.1) involving the critical Sobolev exponents on the right-hand side of the equation and in the boundary condition. It is assumed that the coefficients Q and P are smooth. We examine the common effect of the mean curvature of the boundary a deltaOhm and the shape of the graph of the coefficients Q and P on the existence of solutions of problem (1.1). (C) 2003 Published by Elsevier Inc.