Fronteiras de eficiência estocásticas para as empresas de distribuição de energia elétrica no Brasil: uma análise de dados de painel
DOI:
https://doi.org/10.1590/S0101-41612009000100008Keywords:
efficiency, Brazilian electrical sector, stochastic frontierAbstract
This paper analyzes the efficiency of the Brazilian electrical sector distributing companies based on an econometrics study of information and data that directly affect distributing companies´ efficiency, such as operational cost, number of employees, volume of energy supplied, and some qualitative indicators, such as the percentage of energy lost, average duration of the supply interruption per year in hours (DEC) and average frequency of the supply interruption per year (FEC). Besides these, some socio-economic indicators are considered, such as appliances ownership and the demographic density of the area each company is located. The analysis starts with the definition of production and cost frontiers, followed by the production and cost frontier functions, applying the Stochastic Frontier Method.Downloads
References
Aigner, D. J.; Chu; S. F. On estimating the industry production function. The American Economic Review, v. 58, n. 4, p. 826-839, 1968.
Aigner, D.J .; Lovell, C. A. K.; Schmidt, P. Formulation and estimation of stochastic frontier production function models. Journal of Econometrics. North-Holland, v. 6, p. 21-37, 1977.
Arcoverde, F. D. Mensuração e modelagem das eficiências das distribuidoras do setor energético brasileiro usando fronteiras estocásticas. 2005. Dissertação (Mestrado). Departamento de Economia – UNB. Brasília.
Banke r, R. D. Maximum likelihood, consistency and data envelopment analysis: a statistical foundation. Management Science, v. 39, n. 10, p. 1265-1273, 1993.
Battese , G. E.; Coelli, T. J. A model for technical inefficiency effects in a stochastic frontier production function for panel data. Empirical Economics, v. 20, p. 325-332, 1995.
Battese , G. E.; Coelli, T. J. Frontier production functions, technical efficiency and panel data: with application to Paddy farmers in India. Journal of Productivity Analysis, v. 3, p.
-169, 1992.
Battese , G. E.; Coelli, T. J. Prediction of firm-level technical efficiencies with a generalised frontier production function and panel data. Journal of Econometrics, North-Holland, v.
, p. 387-399, 1988.
Battese , G. E.; Coelli, T. J.; Colby, T. C. Estimation of frontier production functions and the efficiencies of Indian farms using panel data from ICRISAT’s Village Level Studies. Journal of Quantitative Economics, v. 5, p. 327-348, 1989.
Battese , G. E.; Corra, G. S. Estimation of a production frontier model: with application to the pastoral zone of Eastern Australia. Australian Journal of Agricultural Economics, v. 21, p. 169-179, 1977.
Bauer, P.W. Recent developments in the econometric estimation of frontiers. Journal of Econometrics, North-Holland, v. 46, p. 39-56, 1990.
CAVES, D. W.; CHRISTENSEN, L. R. The importance of economies of scale, capacity utilization and density in explaining inter-industry differences in productivity growth. The Logistics and Transportation Review, 2, p. 3-32, 1988.
Coelli, T. J. A guide to FRONTIER version 4.1: a computer program for stochastic frontier production and cost function estimation. CEPA Working Paper 96/07. Department of Econometrics, University of New England, Armidale, Australia, 1999.
Coelli, T. J.; Rao , D. S. Prasada; Battese , G. E. An Introdution to Efficiency and Productivity Analysis. 3ª ed. London: Kluwer Academic Publishers, 1998.
Danilin, V. I.; Mate rov, I. S.; Rosefield, S.; Lovell, C. A. K. Measuring enterprise efficiency in the Soviet Union: A stochastic frontier analysis. Econometrica, New Series, v. 52, n. 206, p. 225-233, 1985.
Farrel, M. J. The measurement of productive efficiency. Journal of the Royal Estastistical Society. Series A (General), v. 120, n.3, p. 253-290, 1957.
Greene, W. H. Econometric Analysis. 5ª ed. New Jersey: Prentice Hall, 2002 (Capítulo 16, p.429: Estimation Frameworks in Econometrics; Capítulo 17, p.501-505: Maximum Likelihood Estimation)
Greene, W. H. Frontier production functions. In: Pesa ran , M.; Schmidt , P. Handbook of Applied Econometrics. London: Blackwell Publishers, vol. II: Microeconomics, 1997, p. 141-163.
Greene, W. H. The econometric approach to efficiency analysis. In: Fried , H.O., Lovell, C.A.K.; Schmidt, S.S. (Ed.). The measurement of productive efficiency. New York: Oxford University Press, 1993, p. 68-119.
Greene, W. H.A gamma-distributed stochastic frontier model. Journal of Econometrics. North-Holland, v. 46, p. 141-163, 1990.
Greene, W. H. On the estimation of a flexible frontier production model. Journal of Econometrics. North-Holland, v. 13, p. 101-115, 1980.
Hughes, M. D. A stochastic frontier cost function for residential child care provision. Journal of Applied Econometrics, v. 3, p. 203-214, 1988.
Jondrow, J.; Lovell, C. A. K.; Mate rov, I. S.; Schmidt, P. On the estimation of technical inefficiency in the stochastic frontier production function model. Journal of Econometrics. North-Holland, v. 19, p. 233-238, 1982.
Kodde, D.A.; Palm, F. C. Wald criteria for jointly testing equality and inequality restrictions. Econometrica, v. 54, n. 5, p. 1243-1248, 1986.
Kumbhaka r, S. C.; Ghosh S.; McGuckin, J. T. A generalized production frontier approach for estimating determinants of inefficiency in U.S. Dairy Farms. Journal of Business and Economic Statistics, v. 9, p. 279-286, 1991.
Kumbhaka r, S. C.; TSIONOS, e. g. Estimation of stochastic frontier production function with input oriented technical efficiency. Journal of Econometrics, v. 133, p. 71-96, 2006.
Lima, R. L. P. Avaliação do uso de métodos não paramétricos no processo regulatório do
setor elétrico no Brasil. 2003. Dissertação (Mestrado), Departamento de Economia da Universidade de Brasília-UNB.
Meeusen, W.; van den Broeck, J. Efficiency estimation from Cobb-Douglas production functions with composed error. International Economic Review, v. 18, n. 2, p. 435-444, 1977.
Pindyck, R. S.; Rubinfeld, D. L. Microeconomia. 2ª ed. São Paulo: Makron Books, 1994.
Pitt, M. M.; Lee, L. F. Measurement and sources of technical inefficiency in the Indonesian weaving industry. Journal of Development Economics, v. 9, p. 43-64, 1981.
Reifschneide r, D.; Ste venson , R. Systematic departures from the frontier: a framework for the analysis of firm inefficiency. International Economic Review, v. 32, n. 3, p. 715-723, 1991.
Schmidt, P.; Lovell, C. A. K. Estimating technical and allocative inefficiency relative to stochastic production and cost frontiers. Journal of Econometrics. North-Holland, v. 9, p. 343-366, 1979.
Ste venson , R. E. Likelihood functions for generalized stochastic frontier estimation. Journal of Econometrics. North-Holland, v. 13, p. 57-66, 1980.
WANG, H.; SCHMIDT, P. One-step and two-step estimation of the efffects of exogenous variables on technical efficiency levels. Journal of Productive Analysis, v. 18, p. 129-144, 2002.
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Copyright (c) 2009 Maria Eduarda Tannuri-Pianto, Maria da Conceição Sampaio de Sousa, Flavia Dowsley Arcoverde
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Atualizado em 14/08/2025