Abstract
This paper presents a metafrontier production function model for firms in different groups having different technologies. The metafrontier model enables the calculation of comparable technical efficiencies for firms operating under different technologies. The model also enables the technology gaps to be estimated for firms under different technologies relative to the potential technology available to the industry as a whole. The metafrontier model is applied in the analysis of panel data on garment firms in five different regions of Indonesia, assuming that the regional stochastic frontier production function models have technical inefficiency effects with the time-varying structure proposed by Battese and Coelli (1992).
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Battese, G. E. (1997). “A Note on the Estimation of Cobb-Douglas Production Functions When Some Explanatory Variables Have Zero Values.” Journal of Agricultural Economics 48, 250–252.
Battese, G. E. and T. J. Coelli. (1992). “Frontier Production Functions, Technical Efficiency and Panel Data: With Application to Paddy Farmers in India.” Journal of Productivity Analysis 3, 153–169.
Battese, G. E. and T. J. Coelli. (1995). “A Model for Technical Inefficiency Effects in a Stochastic Frontier Production Function for Panel Data.” Empirical Economics 20, 325–332.
Battese, G. E. and D. S. P. Rao. (2002). “Technology Gap, Efficiency and a Stochastic Metafrontier Function.” International Journal of Business and Economics 1(2), 1–7.
Battese, G. E., D. S. P. Rao and D. Walujadi. (2001). “Technical Efficiency and Productivity Potential of Garment Firms in Different Regions in Indonesia: A Stochastic Frontier Analysis Using a Time-varying Inefficiency Model and a Metaproduction Frontier.” CEPA Working Papers, No. 7/2001, School of Economics, University of New England, Armidale, p. 27.
Coelli, T. J. (1996). “A Guide to FRONTIER Version 4.1: A Computer Program for Stochastic Frontier Production and Cost Function Estimation.” CEPA Working Papers, No. 7/96, School of Economics, University of New England, Armidale, p. 33.
Coelli, T. J., D. S. P. Rao and G. E. Battese. (1998). Introduction to Efficiency and Productivity Analysis. Boston: Kluwer Academic Publishers, p. 271.
Hayami, Y. and V. W. Ruttan. (1971). Agricultural Development: An International Perspective. Baltimore: Johns Hopkins University Press.
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Battese, G.E., Rao, D.S.P. & O'Donnell, C.J. A Metafrontier Production Function for Estimation of Technical Efficiencies and Technology Gaps for Firms Operating Under Different Technologies. Journal of Productivity Analysis 21, 91–103 (2004). https://doi.org/10.1023/B:PROD.0000012454.06094.29
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DOI: https://doi.org/10.1023/B:PROD.0000012454.06094.29