The Measurement of Productive Efficiency: A Reconsideration

The purpose of this paper is to generalize the Farrell indexes of productive efficiency to nonhomothetic production technologies, and at the same time maintain the cost interpretation of the Farrell measures. Since the generalized indexes rely heavily on recent developments in the estimation of frontier cost and production functions, several frontier models are reviewed. In addition to generalized indexes of technical, allocative, and overall productive efficiency, a variety of single-factor efficiency measures are discussed. The applicability of the proposed efficiency measures is illustrated with a numerical example of electric power generation.

[1]  H. S. Houthakker,et al.  Electronic computation in economic statistics , 1953 .

[2]  M. Farrell The Measurement of Productive Efficiency , 1957 .

[3]  M. Farrell,et al.  Estimating Efficient Production Functions Under Increasing Returns to Scale , 1962 .

[4]  Hurvey Leibenstein Allocative efficiency vs. X-Efficiency , 1966 .

[5]  W. S. Comanor,et al.  Allocative Efficiency, X-Efficiency and the Measurement of Welfare Losses , 1969 .

[6]  A Civil Tongue , 1969 .

[7]  L. Lau,et al.  A Test for Relative Efficiency and Application to Indian Agriculture , 1971 .

[8]  C. Timmer Using a Probabilistic Frontier Production Function to Measure Technical Efficiency , 1971, Journal of Political Economy.

[9]  W. Seitz Productive Efficiency in the Steam-Electric Generating Industry , 1971, Journal of Political Economy.

[10]  S. Afriat Efficiency Estimation of Production Function , 1972 .

[11]  L. Lau,et al.  A Test for Relative Economic Efficiency: Some Further Results , 1973 .

[12]  J. Richmond Estimating the Efficiency of Production , 1974 .

[13]  Lennart Hjalmarsson,et al.  On the Measurement of Productive Efficiency , 1974 .

[14]  Rolf Färe,et al.  Efficiency and the production function , 1975 .

[15]  D. Poirier,et al.  On the Estimation of Production Frontiers: Maximum Likelihood Estimation of the Parameters of a Discontinuous Density Function , 1976 .

[16]  Y. Toda Estimation of a Cost Function When the Cost Is Not Minimum: The Case of Soviet Manufacturing Industries, 1958-1971 , 1976 .

[17]  G. Stigler The Xistence of X-Efficiency , 1976 .

[18]  P. Schmidt On the Statistical Estimation of Parametric Frontier Production Functions , 1976 .

[19]  W. Meeusen,et al.  Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error , 1977 .

[20]  D. Aigner,et al.  P. Schmidt, 1977,?Formulation and estimation of stochastic frontier production function models,? , 1977 .

[21]  E. Berndt,et al.  Dynamic models of the industrial demand for energy , 1977 .

[22]  Rolf Färe,et al.  Measuring the technical efficiency of production , 1978 .

[23]  E. Berndt Aggregate Energy, Efficiency, and Productivity Measurement , 1978 .

[24]  C. Lovell,et al.  Estimating technical and allocative inefficiency relative to stochastic production and cost frontiers , 1979 .

[25]  C. Lovell,et al.  A survey of frontier production functions and of their relationship to efficiency measurement , 1980 .

[26]  W. Greene Maximum likelihood estimation of econometric frontier functions , 1980 .