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Heterogeneity in Returns to Scale: A Random Coefficient Analysis with Unbalanced Panel Data

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  • Erik Biørn
  • Kjersti-Gro Lindquist
  • Terje Skjerpen

    ()
    (Statistics Norway)

Abstract

This paper analyses the importance of scale economies by means of unbalanced plant-level panel data from three Norwegian manufacturing industries. Focus is on heterogeneous technologies, and unlike most previous work on micro data, the model description includes heterogeneity in both the scale properties (the slope coefficients) and the intercept term, represented by random coefficients in the production function. Three (nested) functional forms are investigated: the Translog, an extended Cobb-Douglas, and the strict Cobb-Douglas. Although constant or weakly increasing returns to scale is found for the average plant, the results reveal considerable variation across plants. Variations in both input and scale elasticities are to a larger extent due to randomness of the production function parameters than to systematic differences in the input mix.

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Bibliographic Info

Paper provided by Research Department of Statistics Norway in its series Discussion Papers with number 292.

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Date of creation: Dec 2000
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Handle: RePEc:ssb:dispap:292

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Keywords: Panel Data. Economies of Scale. Heterogeneity. Random Coefficients;

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References

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  1. Badi H. Baltagi & Seuck H. Song & Byoung C. Jung, 2002. "A comparative study of alternative estimators for the unbalanced two-way error component regression model," Econometrics Journal, Royal Economic Society, vol. 5(2), pages 480-493, 06.
  2. Donald W. K. Andrews, 1999. "Estimation When a Parameter Is on a Boundary," Econometrica, Econometric Society, vol. 67(6), pages 1341-1384, November.
  3. Hsiao, Cheng, 1975. "Some Estimation Methods for a Random Coefficient Model," Econometrica, Econometric Society, vol. 43(2), pages 305-25, March.
  4. Mundlak, Yair, 1996. "Production Function Estimation: Reviving the Primal," Econometrica, Econometric Society, vol. 64(2), pages 431-38, March.
  5. Matyas, Laszlo & Lovrics, Laszlo, 1991. "Missing observations and panel data : A Monte-Carlo analysis," Economics Letters, Elsevier, vol. 37(1), pages 39-44, September.
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Citations

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Cited by:
  1. Biørn, Erik & Skjerpen, Terje & Wangen, Knut Reidar, 2004. "Can Random Coefficient Cobb-Douglas Production Functions Be Aggregated to Similar Macro Functions?," Memorandum 22/2004, Oslo University, Department of Economics.
  2. Erik Biørn & Terje Skjerpen & Knut Reidar Wangen, 2003. "Parametric Aggregation of Random Coefficient Cobb-Douglas Production Functions: Evidence from Manufacturing Industries," Discussion Papers 342, Research Department of Statistics Norway.
  3. Biorn, Erik & Hagen, Terje P. & Iversen, Tor & Magnussen, Jon, 2006. "Heterogeneity in Hospitals' Responses to a Financial Reform: A Random Coefficient Analysis of The Impact of Activity-Based Financing on Efficiency," MPRA Paper 8169, University Library of Munich, Germany.
  4. Héctor Salgado Banda & Lorenzo Bernal Verdugo, 2011. "Multifactor productivity and its determinants: an empirical analysis for Mexican manufacturing," Journal of Productivity Analysis, Springer, vol. 36(3), pages 293-308, December.
  5. Gorodnichenko, Yuriy, 2008. "Using Firm Optimization to Evaluate and Estimate Returns to Scale," IZA Discussion Papers 3368, Institute for the Study of Labor (IZA).
  6. Erik Biørn & Terje Skjerpen, 2002. "Aggregation and Aggregation Biases in Production Functions: A Panel Data Analysis of Translog Models," Discussion Papers 317, Research Department of Statistics Norway.
  7. Biorn, Erik & Skjerpen, Terje, 2004. "Aggregation biases in production functions: a panel data analysis of Translog models," Research in Economics, Elsevier, vol. 58(1), pages 31-57, March.
  8. Hossein Karimi Hosnijeh & Robabeh Jaberi, 2009. "The Impacts of Technical Changes on Banking Economic Indices, Case Study of Iran," Iranian Economic Review, Economics faculty of Tehran university, vol. 14(2), pages 97-111, fall.
  9. Erik Biørn & Terje Hagen & Tor Iversen & Jon Magnussen, 2010. "How different are hospitals’ responses to a financial reform? The impact on efficiency of activity-based financing," Health Care Management Science, Springer, vol. 13(1), pages 1-16, March.
  10. Kjersti-Gro Lindquist, 2002. "The Effect of New Technology in Payment Services on Banks' Intermediation," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 B3-2, International Conferences on Panel Data.
  11. Hailu, Getu & Goddard, Ellen W. & Jeffrey, Scott R., 2005. "Measuring Efficiency in Fruit and Vegetable Marketing Co-operatives with Heterogeneous Technologies in Canada," 2005 Annual meeting, July 24-27, Providence, RI 19507, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
  12. Biørn, Erik, 2012. "Estimating SUR Systems with Random Coefficients: The Unbalanced Panel Data Case," Memorandum 22/2012, Oslo University, Department of Economics.

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