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Revisiting the flexibility and regularity properties of the asymptotically ideal production model

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  • Mark Jensen

Abstract

In this paper we estimate the flexibility properties and regular regions for the first three orders of the seminonparametric Asymptotically Ideal Model (AIM) under four different types of constant returns to scale production technologies. The AIM model's parameters are estimatedfrom a Monte Carlo simulation where the data is generated from a three input, one output, globally regular Constant Differences of Elasticity of Substitution function. The Monte Carlo's input quantity and elasticity of substitution estimates at the unit vector are graphed along with the area of the relative price space where the AIM model is monotonically increasing andquasi-concave.

Suggested Citation

  • Mark Jensen, 1997. "Revisiting the flexibility and regularity properties of the asymptotically ideal production model," Econometric Reviews, Taylor & Francis Journals, vol. 16(2), pages 179-203.
  • Handle: RePEc:taf:emetrv:v:16:y:1997:i:2:p:179-203
    DOI: 10.1080/07474939708800381
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    1. William A. Barnett & Michael Wolfe, 2004. "Semi-nonparametric Bayesian Estimation of the Asymptotically Ideal Production Model1," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 303-349, Emerald Group Publishing Limited.
    2. Andrews, Donald W K, 1991. "Asymptotic Normality of Series Estimators for Nonparametric and Semiparametric Regression Models," Econometrica, Econometric Society, vol. 59(2), pages 307-345, March.
    3. Gallant, A. Ronald & Souza, Geraldo, 1991. "On the asymptotic normality of Fourier flexible form estimates," Journal of Econometrics, Elsevier, vol. 50(3), pages 329-353, December.
    4. Eastwood, Brian J., 1991. "Asymptotic normality and consistency of semi-nonparametric regression estimators using an upwards F test truncation rule," Journal of Econometrics, Elsevier, vol. 48(1-2), pages 151-181.
    5. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    6. W.A. Barnett & J.M. Binner, 2004. "The Global Properties of the Minflex Laurent, Generalized Leontief, and Translog Flexible Functional Forms," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 79-97, Emerald Group Publishing Limited.
    7. White, Halbert, 1980. "Using Least Squares to Approximate Unknown Regression Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(1), pages 149-170, February.
    8. Wales, Terence J., 1977. "On the flexibility of flexible functional forms : An empirical approach," Journal of Econometrics, Elsevier, vol. 5(2), pages 183-193, March.
    9. William A. Barnett & Michael Wolfe, 2004. "The Global Properties of the Two Minflex Laurent Flexible Functional Forms," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 141-157, Emerald Group Publishing Limited.
    10. Barnett, William A. & Lee, Yul W. & Wolfe, Michael D., 1985. "The three-dimensional global properties of the minflex laurent, generalized leontief, and translog flexible functional forms," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 3-31.
    11. 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.
    12. Barnett, William A. & Lee, Yul W., 1987. "The Laurent series approach to structural modeling," European Journal of Operational Research, Elsevier, vol. 30(3), pages 270-279, June.
    13. Eastwood, Brian J. & Gallant, A. Ronald, 1991. "Adaptive Rules for Seminonparametric Estimators That Achieve Asymptotic Normality," Econometric Theory, Cambridge University Press, vol. 7(3), pages 307-340, September.
    14. Hanoch, Giora, 1975. "Production and Demand Models with Direct or Indirect Implicit Additivity," Econometrica, Econometric Society, vol. 43(3), pages 395-419, May.
    15. Berndt, Ernst R & Wood, David O, 1975. "Technology, Prices, and the Derived Demand for Energy," The Review of Economics and Statistics, MIT Press, vol. 57(3), pages 259-268, August.
    16. T. Dudley Wallace, 1977. "Pretest Estimation in Regression: A Survey," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 59(3), pages 431-443.
    17. Guilkey, David K & Lovell, C A Knox & Sickles, Robin C, 1983. "A Comparison of the Performance of Three Flexible Functional Forms," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(3), pages 591-616, October.
    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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    1. William A. Barnett & Ikuyasu Usui, 2007. "The Theoretical Regularity Properties of the Normalized Quadratic Consumer Demand Model," International Symposia in Economic Theory and Econometrics, in: Functional Structure Inference, pages 107-127, Emerald Group Publishing Limited.
    2. Fleissig, Adrian R. & Kastens, Terry & Terrell, Dek, 2000. "Evaluating the semi-nonparametric fourier, aim, and neural networks cost functions," Economics Letters, Elsevier, vol. 68(3), pages 235-244, September.
    3. Lusk, Jayson L. & Featherstone, Allen M., 1999. "The Multi-Product Asymptotically Ideal Model: An Application To Agriculture," 1999 Annual meeting, August 8-11, Nashville, TN 21503, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).

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