Econometric Estimation of Distance Functions and Associated Measures of Productivity and Efficiency Change
AbstractThe economically-relevant characteristics of multi-input multi-output production technologies can be represented using distance functions. The econometric approach to estimating these functions typically involves factoring out one of the outputs or inputs and estimating the resulting equation using maximum likelihood methods. A problem with this approach is that the outputs or inputs that are not factored out may be correlated with the composite error term. Fernandez, Koop and Steel (2000, p. 58) have developed a Bayesian solution to this so-called â€˜endogeneityâ€™ problem. O'Donnell (2007) has adapted the approach to the estimation of directional distance functions. This paper shows how the approach can be used to estimate Shephard (1953) distance functions and an associated index of total factor productivity (TFP) change. The TFP index is a new multiplicatively-complete index that satisfies most, if not all, economically-relevant tests and axioms from index number theory. The fact that it is multiplicatively-complete means it can be exhaustively decomposed into a measure of technical change and various measures of efficiency change. The decomposition can be implemented without the use of price data and without making any assumptions concerning either the optimising behaviour of firms or the degree of competition in product markets. The methodology is illustrated using state-level quantity data on U.S. agricultural inputs and outputs over the period 1960-2004. Results are summarised in terms of the characteristics (e.g., means) of estimated probability densities for measures of TFP change, technical change and output-oriented measures of efficiency change.
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Bibliographic InfoPaper provided by School of Economics, University of Queensland, Australia in its series CEPA Working Papers Series with number WP012011.
Date of creation: Mar 2011
Date of revision:
Other versions of this item:
- C. O’Donnell, 2014. "Econometric estimation of distance functions and associated measures of productivity and efficiency change," Journal of Productivity Analysis, Springer, vol. 41(2), pages 187-200, April.
- C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
- C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
- D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
This paper has been announced in the following NEP Reports:
- NEP-AGR-2011-03-12 (Agricultural Economics)
- NEP-ALL-2011-03-12 (All new papers)
- NEP-ECM-2011-03-12 (Econometrics)
- NEP-EFF-2011-03-12 (Efficiency & Productivity)
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- Dale J. Poirier, 1995. "Intermediate Statistics and Econometrics: A Comparative Approach," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161494, December.
- O'Donnell, Christopher J., 2010.
"Measuring and decomposing agricultural productivity and profitability change,"
Australian Journal of Agricultural and Resource Economics,
Australian Agricultural and Resource Economics Society, vol. 54(4), December.
- O'Donnell, Christopher J., 2009. "Measuring And Decomposing Agricultural Productivity And Profitability Change," 2009 Conference (53rd), February 11-13, 2009, Cairns, Australia 47625, Australian Agricultural and Resource Economics Society.
- Carmen Fernandez & Gary Koop & M. F. J. Steel, 2004.
"A Bayesian analysis of multiple-output production frontiers,"
ESE Discussion Papers
21, Edinburgh School of Economics, University of Edinburgh.
- Fernandez, Carmen & Koop, Gary & Steel, Mark, 2000. "A Bayesian analysis of multiple-output production frontiers," Journal of Econometrics, Elsevier, vol. 98(1), pages 47-79, September.
- V. Eldon Ball & Charles Hallahan & Richard Nehring, 2004. "Convergence of Productivity: An Analysis of the Catch-up Hypothesis within a Panel of States," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 86(5), pages 1315-1321.
- C.J. O'Donnell, 2010.
"Nonparametric Estimates Of The Components Of Productivity And Profitability Change In U.S. Agriculture,"
CEPA Working Papers Series
WP022010, School of Economics, University of Queensland, Australia.
- Christopher J. O'Donnell, 2012. "Nonparametric Estimates of the Components of Productivity and Profitability Change in U.S. Agriculture," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 94(4), pages 873-890.
- Aigner, Dennis & Lovell, C. A. Knox & Schmidt, Peter, 1977. "Formulation and estimation of stochastic frontier production function models," Journal of Econometrics, Elsevier, vol. 6(1), pages 21-37, July.
- Fernandez, Carmen & Osiewalski, Jacek & Steel, Mark F. J., 1997. "On the use of panel data in stochastic frontier models with improper priors," Journal of Econometrics, Elsevier, vol. 79(1), pages 169-193, July.
- Atkinson, Scott E & Cornwell, Christopher & Honerkamp, Olaf, 2003. "Measuring and Decomposing Productivity Change: Stochastic Distance Function Estimation versus Data Envelopment Analysis," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(2), pages 284-94, April.
- Bjurek, Hans, 1996. " The Malmquist Total Factor Productivity Index," Scandinavian Journal of Economics, Wiley Blackwell, vol. 98(2), pages 303-13, June.
- Kopp, Raymond J. & Mullahy, John, 1990. "Moment-based estimation and testing of stochastic frontier models," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 165-183.
- O'Donnell, Christopher J., 2007. "Estimating the Characteristics of Polluting Technologies," 2007 Conference (51st), February 13-16, 2007, Queenstown, New Zealand 10413, Australian Agricultural and Resource Economics Society.
- C.J. O'Donnell, 2008. "An aggregate quantity-price framework for measuring and Decomposing productivity and profitability change," CEPA Working Papers Series WP072008, School of Economics, University of Queensland, Australia.
- Requillart, Vincent & Nauges, Celine & Simioni, Michel & Bontemps, Christophe, 2012.
"Food Safety Regulation and Firm Productivity: Evidence from the French Food Industry,"
124378, Italian Association of Agricultural and Applied Economics (AIEAA).
- Bontemps, Christophe & Nauges, Céline & Réquillart, Vincent & Simioni, Michel, 2012. "Food Safety Regulation and Firm Productivity:Evidence from the French Food Industry," TSE Working Papers 12-275, Toulouse School of Economics (TSE).
- Bontemps, Christophe & Nauges, CÃ©line & RÃ©quillart, Vincent & Simioni, Michel, 2012. "Food Safety Regulation and Firm Productivity:Evidence from the French Food Industry," LERNA Working Papers 12.16.373, LERNA, University of Toulouse.
- Bontemps, Christophe & Nauges, Céline & Réquillart, Vincent & Simioni, Michel, 2012. "Food Safety Regulation and Firm Productivity:Evidence from the French Food Industry," IDEI Working Papers 696, Institut d'Économie Industrielle (IDEI), Toulouse.
- C. O’Donnell & K. Nguyen, 2013.
"An econometric approach to estimating support prices and measures of productivity change in public hospitals,"
Journal of Productivity Analysis,
Springer, vol. 40(3), pages 323-335, December.
- C.J. O’Donnell & K. Nguyen, 2011. "An Econometric Approach To Estimating Support Prices And Measures Of Productivity Change In Public Hospitals," CEPA Working Papers Series WP032011, School of Economics, University of Queensland, Australia.
- C.J. O'Donnell, 2011. "The Sources of Productivity Change in the Manufacturing Sectors of the U.S. Economy," CEPA Working Papers Series WP072011, School of Economics, University of Queensland, Australia.
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