Using a Probabilistic Frontier Production Function to Measure Technical Efficiency

1971 Journal of Political Economy 510 citations

Abstract

This article uses linear programming techniques to "estimate" a frontier Cobb-Douglas production function for U.S. agriculture from 1960 to 1967, using the "average farm" in each state in each year as an observation. Both deterministic and probabilistic frontiers are generated and the results compared with ordinary least-squares and analysis of covariance estimates of the production function. Technical inefficiency is defined relative to the probabilistic frontier function and the extent of any inefficiency calculated for each state. Little technical inefficiency exists across states when the production function includes intermediate inputs as well as land, labor, and capital.

Keywords

InefficiencyProduction (economics)Probabilistic logicEconometricsFunction (biology)EconomicsFrontierCovarianceProduction–possibility frontierProduction functionMeasure (data warehouse)MathematicsMathematical optimizationStatisticsMicroeconomicsComputer scienceGeography

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Publication Info

Year
1971
Type
article
Volume
79
Issue
4
Pages
776-794
Citations
510
Access
Closed

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Cite This

C. P. Timmer (1971). Using a Probabilistic Frontier Production Function to Measure Technical Efficiency. Journal of Political Economy , 79 (4) , 776-794. https://doi.org/10.1086/259787

Identifiers

DOI
10.1086/259787