Scandinavian Working Papers in Economics

Discussion Papers,
Statistics Norway, Research Department

No 292: Heterogeneity in Returns to Scale: A Random Coefficient Analysis with Unbalanced Panel Data

Erik Biørn (), Kjersti-Gro Lindquist and Terje Skjerpen
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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.

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

JEL-codes: C23; D24; L61; L65; L73 December 2000

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