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Least squares estimation of joint production functions by the differential evolution method of global optimization

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  • Sudhanshu Mishra

    () (North-Eastern Hill University)

Abstract

Most of the studies relating to estimation of joint production functions have noted two difficulties: first that allocation of inputs to different outputs is not known, and the second that a method of estimation cannot have more than one dependent variable, which necessitates construction of a composite output transformation function. This study has conducted some simulation experiments on joint estimation of the CES, the Transcendental and the Nerlove-Ringstad functions. Allocation parameters of inputs across the products have been introduced. Estimation has been done jointly, but without constructing a composite macro production function or an output transformation function. We use nonlinear least squares based on the Differential Evolution method of global optimization that permits fitting multiple production functions simultaneously.

Suggested Citation

  • Sudhanshu Mishra, 2007. "Least squares estimation of joint production functions by the differential evolution method of global optimization," Economics Bulletin, AccessEcon, vol. 3(51), pages 1-13.
  • Handle: RePEc:ebl:ecbull:eb-07c10007
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    References listed on IDEAS

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    1. Vinod, Hrishikesh D, 1969. "Econometrics of Joint Production-A Reply," Econometrica, Econometric Society, vol. 37(4), pages 739-740, October.
    2. Chetty, V Karuppan, 1969. "Econometrics of Joint Production: A Comment," Econometrica, Econometric Society, vol. 37(4), pages 731-731, October.
    3. Chizmar, John F & Zak, Thomas A, 1983. "Modeling Multiple Outputs in Educational Production Functions," American Economic Review, American Economic Association, vol. 73(2), pages 17-22, May.
    4. Dhrymes, Phoebus J & Mitchell, B M, 1969. "Estimation of Joint Production Functions," Econometrica, Econometric Society, vol. 37(4), pages 732-736, October.
    5. Vinod, H. D., 1976. "Canonical ridge and econometrics of joint production," Journal of Econometrics, Elsevier, vol. 4(2), pages 147-166, May.
    6. 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.
    7. Robert D. Weaver, 1983. "Multiple Input, Multiple Output Production Choices and Technology in the U.S. Wheat Region," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 65(1), pages 45-56.
    8. Rao, Potluri, 1969. "A Note on Econometrics of Joint Production," Econometrica, Econometric Society, vol. 37(4), pages 737-738, October.
    9. Mishra, SK, 2007. "Performance of Differential Evolution Method in Least Squares Fitting of Some Typical Nonlinear Curves," MPRA Paper 4634, University Library of Munich, Germany.
    10. K. Sato, 1967. "A Two-Level Constant-Elasticity-of-Substitution Production Function," Review of Economic Studies, Oxford University Press, vol. 34(2), pages 201-218.
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    Cited by:

    1. S K Mishra, 2010. "A Brief History of Production Functions," The IUP Journal of Managerial Economics, IUP Publications, vol. 0(4), pages 6-34, November.

    More about this item

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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