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Capital operating time and working time in the production function : an evaluation on a panel firms over the period 1989-2001

Author

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  • Florian Pelgrin

    (HEC Lausanne - Faculté des Hautes Etudes Commerciales (HEC Lausanne))

  • Arnaud Sylvain

    (DEFI - Centre de recherche en développement économique et finance internationale - GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Eric Heyer

    (OFCE - Observatoire français des conjonctures économiques (Sciences Po) - Sciences Po - Sciences Po)

Abstract

While a number of studies have demonstrated the importance of factor utilization in economic analysis, the impact of operating hours and/or hours of work in the production function remains largely unknown, particularly in terms of the capital operating time. Using French data on industrial firms for the period 1989 to 2001, we estimate a Cobb-Douglas production function that considers the stocks and both the capital operating time and the working time. We draw on the framework defined by Blundell and Bond (2000), assuming that serially correlated shocks allow a dynamic representation of the production function, and we use the system generalized method of moments for estimation. Splitting capital operating time into shiftwork patterns and working time, our results show that shiftwork patterns matter for the estimation of a production function while working time is less informative. Specifically, our estimates yield identical output elasticities for shiftwork and capital: thus, doubling the shifts is equivalent to doubling the stock of capital. In addition, we cannot reject the hypothesis of constant returns to scale and the Cobb-Douglas specification is accepted when taking into account the capital operating time and/or the working time. Otherwise, a Translog production function is more appropriate.

Suggested Citation

  • Florian Pelgrin & Arnaud Sylvain & Eric Heyer, 2004. "Capital operating time and working time in the production function : an evaluation on a panel firms over the period 1989-2001," SciencePo Working papers Main hal-00972838, HAL.
  • Handle: RePEc:hal:spmain:hal-00972838
    Note: View the original document on HAL open archive server: https://sciencespo.hal.science/hal-00972838
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    References listed on IDEAS

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    1. Zvi Griliches & Jacques Mairesse, 1995. "Production Functions: The Search for Identification," NBER Working Papers 5067, National Bureau of Economic Research, Inc.
    2. Arellano, Manuel & Bover, Olympia, 1995. "Another look at the instrumental variable estimation of error-components models," Journal of Econometrics, Elsevier, vol. 68(1), pages 29-51, July.
    3. Rosen, Sherwin & Nadiri, M Ishaq, 1974. "A Disequilibrium Model of Demand for Factors of Production," American Economic Review, American Economic Association, vol. 64(2), pages 264-270, May.
    4. Nadiri, M Ishaq & Rosen, Sherwin, 1969. "Interrelated Factor Demand Functions," American Economic Review, American Economic Association, vol. 59(4), pages 457-471, Part I Se.
    5. Fuss, Melvyn & McFadden, Daniel, 1978. "Production Economics: A Dual Approach to Theory and Applications (II): Applications of the Theory of Production," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, volume 2, number fuss1978a.
    6. repec:bla:scandj:v:91:y:1989:i:3:p:613-19 is not listed on IDEAS
    7. Blundell, Richard & Bond, Stephen, 1998. "Initial conditions and moment restrictions in dynamic panel data models," Journal of Econometrics, Elsevier, vol. 87(1), pages 115-143, August.
    8. Eric Heyer & Florian Pelgrin & Arnaud Sylvain, 2004. "Translog ou Cobb-Douglas? Le rôle des durées d'utilisation des facteurs," Staff Working Papers 04-19, Bank of Canada.
    9. R. J. Ball & E. B. A. St Cyr, 1966. "Short Term Employment Functions in British Manufacturing Industry," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 33(3), pages 179-207.
    10. 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.
    11. 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.
    12. Douglas Staiger & James H. Stock, 1997. "Instrumental Variables Regression with Weak Instruments," Econometrica, Econometric Society, vol. 65(3), pages 557-586, May.
    13. Bond, Stephen & Bowsher, Clive & Windmeijer, Frank, 2001. "Criterion-based inference for GMM in autoregressive panel data models," Economics Letters, Elsevier, vol. 73(3), pages 379-388, December.
    14. Gilbert Cette, 1983. "Degrés d'utilisation des facteurs et demande d'investissement et de travail," Revue Économique, Programme National Persée, vol. 34(4), pages 756-793.
    15. Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275, September.
    16. Simon Cueva & Éric Heyer, 1997. "Fonction de production et degrés d'utilisation du capital et du travail : une analyse économétrique," Économie et Prévision, Programme National Persée, vol. 131(5), pages 93-111.
    17. Kiviet, Jan F., 1995. "On bias, inconsistency, and efficiency of various estimators in dynamic panel data models," Journal of Econometrics, Elsevier, vol. 68(1), pages 53-78, July.
    18. Arellano, Manuel, 2003. "Panel Data Econometrics," OUP Catalogue, Oxford University Press, number 9780199245291.
    19. M. S. Feldstein, 1967. "Specification of the Labour Input in the Aggregate Production Function," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(4), pages 375-386.
    20. Ziliak, James P, 1997. "Efficient Estimation with Panel Data When Instruments Are Predetermined: An Empirical Comparison of Moment-Condition Estimators," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(4), pages 419-431, October.
    21. Martial Dupaigne, 2002. "Travail posté et durée d'utilisation des équipements dans les fluctuations économiques," Annals of Economics and Statistics, GENES, issue 66, pages 235-256.
    22. Fuss, Melvyn & McFadden, Daniel (ed.), 1978. "Production Economics: A Dual Approach to Theory and Applications," Elsevier Monographs, Elsevier, edition 1, number 9780444850133.
    23. Nickell, Stephen J, 1981. "Biases in Dynamic Models with Fixed Effects," Econometrica, Econometric Society, vol. 49(6), pages 1417-1426, November.
    24. M. I. Nadiri, 1968. "The Effects of Relative Prices and Capacity on the Demand for Labour in the U.S. Manufacturing Sector," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(3), pages 273-288.
    25. Hart, Robert A. & McGregor, Peter G., 1988. "The returns to labour services in West German manufacturing industry," European Economic Review, Elsevier, vol. 32(4), pages 947-963, April.
    26. Daniel S. Hamermesh, 1993. "Labor Demand and the Source of Adjustment Costs," NBER Working Papers 4394, National Bureau of Economic Research, Inc.
    27. Fuss, Melvyn & McFadden, Daniel, 1978. "Production Economics: A Dual Approach to Theory and Applications (I): The Theory of Production," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, volume 1, number fuss1978.
    28. Manuel Arellano & Stephen Bond, 1991. "Some Tests of Specification for Panel Data: Monte Carlo Evidence and an Application to Employment Equations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 277-297.
    29. Ryan, David L. & Wales, Terence J., 2000. "Imposing local concavity in the translog and generalized Leontief cost functions," Economics Letters, Elsevier, vol. 67(3), pages 253-260, June.
    30. Roger Craine, 1973. "On the Service Flow from Labour," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 40(1), pages 39-46.
    31. Leslie, Derek G & Wise, John, 1980. "The Productivity of Hours in U.K. Manufacturing and Production Industries," Economic Journal, Royal Economic Society, vol. 90(357), pages 74-84, March.
    32. Anderson, T. W. & Hsiao, Cheng, 1982. "Formulation and estimation of dynamic models using panel data," Journal of Econometrics, Elsevier, vol. 18(1), pages 47-82, January.
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