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Subjective model selection rules versus passive model selection rules


  • Ryu, Hang Keun


In this paper, the choice of a particular functional form based on the objective of the author is called the subjective model selection rule and the choice of a particular functional form using pre-selected model selection criteria is called the passive model selection rule. The objective of the author is the analysis of equilibrium, an efficient input choice, the study of the returns to scale function, the estimation of the elasticity of substitution, and the evaluation of the technical progress. Depending on the chosen objectives, economic restrictions such as the homogeneity, homotheticity, and regularity condition (positivity, monotonicity, and quasiconcavity) can be imposed. Various well-known functions beginning from the Cobb–Douglas (CD) to a globally well-behaved polynomial series are listed and the performances are compared with respect to the possibility of extracting economic interpretation, usefulness for advanced studies, computational easiness, and the potentiality of extending the given function to a more complex function. The isoquants and three dimensional output surfaces are plotted for a series of production functions using the transportation data of Zellner and Revankar (1969). Barnett and Jonas (1983) imposed the sufficient conditions for quasiconcavity of production functions while Gallant and Golub (1984) imposed the necessary and sufficient conditions. The strength and weakness of the above two methods are discussed. These methods are extended for three input cases using the U.S. electric power industry data of Nerlove (1963) and Greene (2008).

Suggested Citation

  • Ryu, Hang Keun, 2011. "Subjective model selection rules versus passive model selection rules," Economic Modelling, Elsevier, vol. 28(1), pages 459-472.
  • Handle: RePEc:eee:ecmode:v:28:y:2011:i:1:p:459-472 DOI: 10.1016/j.econmod.2010.08.002

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    References listed on IDEAS

    1. S. Clemhout, 1968. "The Class of Homothetic Isoquant Production Functions," Review of Economic Studies, Oxford University Press, vol. 35(1), pages 91-104.
    2. Ryu, Hang K. & Slottje, Daniel J., 1996. "Two flexible functional form approaches for approximating the Lorenz curve," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 251-274.
    3. Rossi, Peter E., 1985. "Comparison of alternative functional forms in production," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 345-361.
    4. Arnold Zellner & Hang Ryu, 1998. "Alternative functional forms for production, cost and returns to scale functions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 13(2), pages 101-127.
    5. Diewert, W. E. & Avriel, M. & Zang, I., 1981. "Nine kinds of quasiconcavity and concavity," Journal of Economic Theory, Elsevier, vol. 25(3), pages 397-420, December.
    6. Hang Ryu, 2009. "Economic assumptions and choice of functional forms: comparison of top down and bottom up approaches," Journal of Productivity Analysis, Springer, vol. 32(1), pages 55-62, August.
    7. Gallant, A. Ronald, 1981. "On the bias in flexible functional forms and an essentially unbiased form : The fourier flexible form," Journal of Econometrics, Elsevier, vol. 15(2), pages 211-245, February.
    8. Jungsoo Park & Hang Ryu, 2006. "Accumulation, Technical Progress, and Increasing Returns in the Economic Growth of East Asia," Journal of Productivity Analysis, Springer, vol. 25(3), pages 243-255, June.
    9. Ryu, Hang K., 1993. "Maximum entropy estimation of density and regression functions," Journal of Econometrics, Elsevier, vol. 56(3), pages 397-440, April.
    10. Revankar, Nagesh S, 1971. "A Class of Variable Elasticity of Substitution Production Functions," Econometrica, Econometric Society, vol. 39(1), pages 61-71, January.
    11. Fuss, Melvyn & McFadden, Daniel & Mundlak, Yair, 1978. "A Survey of Functional Forms in the Economic Analysis of Production," Histoy of Economic Thought Chapters,in: Fuss, Melvyn & McFadden, Daniel (ed.), Production Economics: A Dual Approach to Theory and Applications, volume 1, chapter 4 McMaster University Archive for the History of Economic Thought.
    12. Gallant, A. Ronald & Golub, Gene H., 1984. "Imposing curvature restrictions on flexible functional forms," Journal of Econometrics, Elsevier, vol. 26(3), pages 295-321, December.
    13. Barnett, William A. & Jonas, Andrew B., 1983. "The Muntz-Szatz demand system : An application of a globally well behaved series expansion," Economics Letters, Elsevier, vol. 11(4), pages 337-342.
    14. A. Zellner & N. S. Revankar, 1969. "Generalized Production Functions," Review of Economic Studies, Oxford University Press, vol. 36(2), pages 241-250.
    15. Geweke, John, 1986. "Exact Inference in the Inequality Constrained Normal Linear Regression Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 1(2), pages 127-141, April.
    16. Apostolos Serletis & Asghar Shahmoradi, 2006. "Semi-Nonparametric Estimates of the Demand for Money in the United States," World Scientific Book Chapters,in: Money And The Economy, chapter 14, pages 278-298 World Scientific Publishing Co. Pte. Ltd..
    17. Ryuzo Sato, 1980. "The Impact of Technical Change on the Holotheticity of Production Functions," Review of Economic Studies, Oxford University Press, vol. 47(4), pages 767-776.
    18. Diewert, W E, 1971. "An Application of the Shephard Duality Theorem: A Generalized Leontief Production Function," Journal of Political Economy, University of Chicago Press, vol. 79(3), pages 481-507, May-June.
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    More about this item


    Subjective model selection rule; Passive model selection rule; Regularity; Globally flexible functional form;

    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity


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