Imposing curvature restrictions on flexible functional forms

Abstract A general computational method for estimating the parameters of a flexible functional form subject to convexity, quasi-convexity, concavity, or quasi-concavity at a point, at several points, or over a region, is set forth and illustrated with an example.

[1]  William A. Barnett,et al.  New Indices of Money Supply and the Flexible Laurent Demand System , 1983 .

[2]  A. Gallant,et al.  Unbiased determination of production technologies , 1982 .

[3]  H. White Using Least Squares to Approximate Unknown Regression Functions , 1980 .

[4]  P. Gill,et al.  User's Guide for SOL/NPSOL: A Fortran Package for Nonlinear Programming. , 1983 .

[5]  James Hardy Wilkinson,et al.  Householder's Method for the Solution of the Algebraic Eigenproblem , 1960, Comput. J..

[6]  E. Berndt,et al.  Technology, Prices, and the Derived Demand for Energy , 1975 .

[7]  William A. Barnett,et al.  The Muntz-Szatz demand system: An application of a globally well behaved series expansion , 1983 .

[8]  Ernst R. Berndt,et al.  Parametric Productivity Measurement and Choice Among Flexible Functional Forms , 1979, Journal of Political Economy.

[9]  L. R. Christensen,et al.  Global Properties of Flexible Functional Forms , 1980 .

[10]  A. Gallant,et al.  On the bias in flexible functional forms and an essentially unbiased form : The fourier flexible form , 1981 .

[11]  Philip E. Gill,et al.  Practical optimization , 1981 .

[12]  Richard R. Underwood,et al.  Stationary values of the ratio of quadratic forms subject to linear constraints , 1969 .

[13]  A. Zellner An Efficient Method of Estimating Seemingly Unrelated Regressions and Tests for Aggregation Bias , 1962 .

[14]  Dale W. Jorgenson,et al.  The Transcendental Logarithmic Model of Aggregate Consumer Behavior , 1982 .

[15]  William A. Barnett,et al.  The Müntz-Szatz demand system , 1983 .

[16]  C. Gouriéroux,et al.  Kuhn-Tucker, likelihood ratio and Wald tests for nonlinear models with inequality constraints on the parameters , 1981 .

[17]  Israel Zang,et al.  Nine kinds of quasiconcavity and concavity , 1981 .

[18]  A. Ronald Gallant,et al.  On unification of the asymptotic theory of nonlinear econometric models , 1982 .

[19]  I. Badawi An elasticity can be estimated consistently without a priori knowledge of functional form , 1983 .

[20]  A. Gallant,et al.  Estimating substitution elasticities with the Fourier cost function : Some Monte Carlo results , 1985 .