Parametric Aggregation of Random Coefficient Cobb-Douglas Production Functions: Evidence from Manufacturing Industries
AbstractA 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Research Department of Statistics Norway in its series Discussion Papers with number 342.
Date of creation: Feb 2003
Date of revision:
Aggregation. Productivity. Cobb-Douglas. Log-normal distribution. Random coefficients. Panel data.;
Find related papers by JEL classification:
- C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Longitudinal Data; Spatial Time Series
- C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
- D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
- L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
This paper has been announced in the following NEP Reports:
- NEP-ALL-2003-06-04 (All new papers)
- NEP-ECM-2003-06-09 (Econometrics)
- NEP-EFF-2003-07-29 (Efficiency & Productivity)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- Tor Jakob Klette & Zvi Griliches, 1996.
"The Inconsistency of Common Scale Estimators When Output Prices Are Unobserved and Engogenous,"
NBER Working Papers
4026, National Bureau of Economic Research, Inc.
- 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..
- Klette, T.J., 1992. "The Inconsistency of Common Scale Estimators when Output Prices are unobserved and Endogenous," Harvard Institute of Economic Research Working Papers 1586, Harvard - Institute of Economic Research.
- Tor Jakob Klette & Zvi Griliches, 1994. "The Inconsistency of Common Scales Estimators when Output Prices are Unobserved and Endogenous," Discussion Papers 127, Research Department of Statistics Norway.
- 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.
- Erik Biørn & Kjersti-Gro Lindquist & Terje Skjerpen, 2000.
"Heterogeneity in Returns to Scale: A Random Coefficient Analysis with Unbalanced Panel Data,"
292, Research Department of Statistics Norway.
- 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.
- 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.
- 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.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (J Bruusgaard).
If references are entirely missing, you can add them using this form.