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Restricted Least Squares Subject to Monotonicity and Concavity Constraints

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  • Ruud, Paul A.

Abstract

Economists have devoted a large research effort to the estimation of cost functions and profit functions. Since the popularization of the dual approach to such functions, econometricians have focussed particularly on methods for fitting functions that satisfy the restrictions implied by optimizing behavior, minimizing costs or maximizing profits. For the most part, researchers have sought simple parametric functional forms that are sufficiently flexible to approximate well all possible functions in the families of cost and profit functions. Given such parametric functions, much of the estimation has followed the method of least squares.

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  • Ruud, Paul A., 1995. "Restricted Least Squares Subject to Monotonicity and Concavity Constraints," University of California Transportation Center, Working Papers qt71z2n16p, University of California Transportation Center.
    • Handle: RePEc:cdl:uctcwp:qt71z2n16p
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    1. John Geweke, "undated". "Posterior Simulators in Econometrics," Computing in Economics and Finance 1996 _019, Society for Computational Economics.
    2. Goldman, Steven M., 1993. "Nonparametric Multivariate Regression Subject to Constraint," Department of Economics, Working Paper Series qt7r623607, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    3. Ying, John S, 1990. "The Inefficiency of Regulating a Competitive Industry: Productivity Gains in Trucking Following Reform," The Review of Economics and Statistics, MIT Press, vol. 72(2), pages 191-201, May.
    4. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    5. Diewert, W. E., 1973. "Functional forms for profit and transformation functions," Journal of Economic Theory, Elsevier, vol. 6(3), pages 284-316, June.
    6. Goldman, Steven M., 1993. "Nonparametric Multivariate Regression Subject to Constraint," Department of Economics, Working Paper Series qt7r623607, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
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    1. Daniel J. Henderson & Christopher F. Parmeter, 2009. "Imposing economic constraints in nonparametric regression: survey, implementation, and extension," Advances in Econometrics, in: Nonparametric Econometric Methods, pages 433-469, Emerald Group Publishing Limited.
    2. Lee, Chia-Yen & Johnson, Andrew L. & Moreno-Centeno, Erick & Kuosmanen, Timo, 2013. "A more efficient algorithm for Convex Nonparametric Least Squares," European Journal of Operational Research, Elsevier, vol. 227(2), pages 391-400.

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