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A micro-econometric model of a short run cost function with unobserved heterogeneity

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  • Prentice, David

Abstract

Unobserved plant level heterogeneity and discrete production processes can produce problems for estimation. A structural model of discrete production decisions by heterogeneous plants is constructed and, as a case study, estimated for the U.S. Portland cement industry. A new estimator is proposed to handle the discrete production process – for which the ordered probit is a special case. Data on firm survival and exit are used to adjust all input requirement coefficients for unobserved heterogeneity. The structural model is successfully estimated. Differences between many estimated coefficients and independent estimates from external sources are statistically insignificant.

Suggested Citation

  • Prentice, David, 2000. "A micro-econometric model of a short run cost function with unobserved heterogeneity," MPRA Paper 28682, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:28682
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    References listed on IDEAS

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    1. David Prentice, 1998. "A Micro-Economic Model of a Short Run Cost Function with Unobserved Heterogeneity," Working Papers 1998.01, School of Economics, La Trobe University.
    2. Timothy F. Bresnahan & Peter C. Reiss, 1990. "Entry in Monopoly Market," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(4), pages 531-553.
    3. Olley, G Steven & Pakes, Ariel, 1996. "The Dynamics of Productivity in the Telecommunications Equipment Industry," Econometrica, Econometric Society, vol. 64(6), pages 1263-1297, November.
    4. Lindenberg, Eric B & Ross, Stephen A, 1981. "Tobin's q Ratio and Industrial Organization," The Journal of Business, University of Chicago Press, vol. 54(1), pages 1-32, January.
    5. Charles A. Capone Jr. & Kenneth G. Elzinga, 1987. "Technology and Energy Use Before, During, and After OPEC: The U.S. Portland Cement Industry," The Energy Journal, , vol. 8(3), pages 93-112, July.
    6. McBride, Mark E, 1983. "Spatial Competition and Vertical Integration: Cement and Concrete Revisited," American Economic Review, American Economic Association, vol. 73(5), pages 1011-1022, December.
    7. Bresnahan, Timothy F., 1989. "Empirical studies of industries with market power," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 2, chapter 17, pages 1011-1057, Elsevier.
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    9. Dionne, Georges & Gagne, Robert & Vanasse, Charles, 1998. "Inferring technological parameters from incomplete panel data," Journal of Econometrics, Elsevier, vol. 87(2), pages 303-327, September.
    10. David Prentice, 1998. "A Micro-Economic Model of a Short Run Cost Function with Unobserved Heterogeneity," Working Papers 1998.01, School of Economics, La Trobe University.
    11. Das, Sanghamitra, 1991. "A semiparametric structural analysis of the idling of cement kilns," Journal of Econometrics, Elsevier, vol. 50(3), pages 235-256, December.
    12. Sanghamitra Das, 1992. "A Micro-Econometric Model of Capital Utilization and Retirement: The Case of the U.S. Cement Industry," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(2), pages 277-297.
    13. Timothy F. Bresnahan & Valerie A. Ramey, 1994. "Output Fluctuations at the Plant Level," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 593-624.
    14. Das, Sanghamitra, 1991. "Estimation of Fuel Coefficients of Cement Production: A Fixed-Effects Approach to Nonlinear Regression," Journal of Business & Economic Statistics, American Statistical Association, vol. 9(4), pages 469-474, October.
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    1. David Prentice, 1998. "A Micro-Economic Model of a Short Run Cost Function with Unobserved Heterogeneity," Working Papers 1998.01, School of Economics, La Trobe University.

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    More about this item

    Keywords

    marginal cost; portland cement; ordered probit;
    All these keywords.

    JEL classification:

    • L61 - Industrial Organization - - Industry Studies: Manufacturing - - - Metals and Metal Products; Cement; Glass; Ceramics
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities

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