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Parametric Aggregation of Random Coefficient Cobb-Douglas Production Functions: Evidence from Manufacturing Industries

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  • Erik Biørn
  • Terje Skjerpen
  • Knut Reidar Wangen

    ()
    (Statistics Norway)

Abstract

A panel data study of parametric aggregation of a production function is presented. A four-factor Cobb-Douglas function with random and jointly normal coefficients and jointly log-normal inputs is used. Since, if the number of micro units is not too small and certain regularity conditions are met, aggregates expressed as arithmetic means can be associated with expectations, we consider conditions ensuring the existence and stability of relationships between expected inputs and expected output and discuss their properties. Existence conditions for and relationships between higher-order moments are considered. An empirical implementation based on panel data for two manufacturing industries gives decomposition and simulation results for expected output and estimates of the aggregate parameters. Illustrations of approximation procedures and aggregation errors are also given.

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Bibliographic Info

Paper provided by Research Department of Statistics Norway in its series Discussion Papers with number 342.

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Date of creation: Feb 2003
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Handle: RePEc:ssb:dispap:342

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Keywords: Aggregation. Productivity. Cobb-Douglas. Log-normal distribution. Random coefficients. Panel data.;

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References

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  1. 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.
  2. Antle, John M, 1983. "Testing the Stochastic Structure of Production: A Flexible Moment-based Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 1(3), pages 192-201, July.
  3. Erik Biørn & Kjersti-Gro Lindquist & Terje Skjerpen, 2002. "Heterogeneity in Returns to Scale: A Random Coefficient Analysis with Unbalanced Panel Data," Journal of Productivity Analysis, Springer, vol. 18(1), pages 39-57, July.
  4. Klette, Tor Jakob & Griliches, Zvi, 1996. "The Inconsistency of Common Scale Estimators When Output Prices Are Unobserved and Endogenous," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(4), pages 343-61, July-Aug..
  5. Erik Biørn & Kjersti-Gro Lindquist & Terje Skjerpen, 2000. "Micro Data On Capital Inputs: Attempts to Reconcile Stock and Flow Information," Discussion Papers 268, Research Department of Statistics Norway.
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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.

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