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A Bayesian analysis of multiple-output production frontiers

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  • Fernandez, Carmen
  • Koop, Gary
  • Steel, Mark

Abstract

In this paper we develop Bayesian tools for estimating multi-output production frontiers in applications where only input and output data are available. Firm-specific inefficiency is measured relative to this frontier. Our work has important differences from the existing literature, which either assumes a classical econometric perspective with restrictive functional form assumptions, or a non-stochastic approach which directly estimates the output distance function. Bayesian inference is implemented using a Markov Chain Monte Carlo algorithm. A banking application shows the ease and practicality of our approach.

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File URL: http://www.sciencedirect.com/science/article/B6VC0-40V4D1C-B/2/dbd898544e00024d40838647f0c8cc76
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Bibliographic Info

Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 98 (2000)
Issue (Month): 1 (September)
Pages: 47-79

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Handle: RePEc:eee:econom:v:98:y:2000:i:1:p:47-79

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Web page: http://www.elsevier.com/locate/jeconom

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References

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  1. Allen N. Berger & David B. Humphrey, 1997. "Efficiency of financial institutions: international survey and directions for future research," Finance and Economics Discussion Series 1997-11, Board of Governors of the Federal Reserve System (U.S.).
  2. Jondrow, James & Knox Lovell, C. A. & Materov, Ivan S. & Schmidt, Peter, 1982. "On the estimation of technical inefficiency in the stochastic frontier production function model," Journal of Econometrics, Elsevier, vol. 19(2-3), pages 233-238, August.
  3. KOOP , Gary & OSIEWALSKI , Jacek & STEEL , Mark, 1995. "Bayesian Efficiency Analysis through Individual Effects : Hospital Cost Frontiers," CORE Discussion Papers 1995036, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Fern ndez, Carmen & Steel, Mark F.J., 2000. "Bayesian Regression Analysis With Scale Mixtures Of Normals," Econometric Theory, Cambridge University Press, vol. 16(01), pages 80-101, February.
  5. Koop, G. & Osiewalski, J. & Steel, M.F.J., 1994. "Bayesian efficiency analysis with a flexible form: The aim cost function," Discussion Paper 1994-13, Tilburg University, Center for Economic Research.
  6. Adams, Robert M & Berger, Allen N & Sickles, Robin C, 1999. "Semiparametric Approaches to Stochastic Panel Frontiers with Applications in the Banking Industry," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(3), pages 349-58, July.
  7. 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.
  8. Lau, Lawrence J, 1972. "Profit Functions of Technologies with Multiple Inputs and Outputs," The Review of Economics and Statistics, MIT Press, vol. 54(3), pages 281-89, August.
  9. Koop, Gary & Osiewalski, Jacek & Steel, Mark F J, 1999. " The Components of Output Growth: A Stochastic Frontier Analysis," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(4), pages 455-87, November.
  10. Pittman, Russell W, 1983. "Multilateral Productivity Comparisons with Undesirable Outputs," Economic Journal, Royal Economic Society, vol. 93(372), pages 883-91, December.
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Citations

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Cited by:
  1. Carmen Fernandez & Gary Koop & M. F. J. Steel, 2004. "Alternative efficiency measures for multiple-output production," ESE Discussion Papers 65, Edinburgh School of Economics, University of Edinburgh.
  2. Tecles, Patricia Langsch & Tabak, Benjamin M., 2010. "Determinants of bank efficiency: The case of Brazil," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1587-1598, December.
  3. Efthymios G. Tsionas, 2006. "Inference in dynamic stochastic frontier models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(5), pages 669-676.
  4. Gary Koop & Lise Tole, 2007. "What is the Environmental Performance of Firms Overseas?: An Empirical Investigation of the Global Gold Mining Industry," Working Paper Series 26-07, The Rimini Centre for Economic Analysis, revised Jul 2007.
  5. Greene, William, 2005. "Reconsidering heterogeneity in panel data estimators of the stochastic frontier model," Journal of Econometrics, Elsevier, vol. 126(2), pages 269-303, June.
  6. Gstach, Dieter, 2005. "Estimating output targets to evaluate output-specific efficiencies: A statistical framework," European Journal of Operational Research, Elsevier, vol. 161(2), pages 564-578, March.
  7. 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.
  8. Koop G., 2002. "Comparing the Performance of Baseball Players: A Multiple-Output Approach," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 710-720, September.
  9. 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.
  10. Areal, Francisco J & Balcombe, Kelvin & Tiffin, R, 2010. "Integrating spatial dependence into stochastic frontier analysis," MPRA Paper 24961, University Library of Munich, Germany.
  11. Ferreira, Jose T.A.S. & Steel, Mark F.J., 2007. "Model comparison of coordinate-free multivariate skewed distributions with an application to stochastic frontiers," Journal of Econometrics, Elsevier, vol. 137(2), pages 641-673, April.
  12. Carta, Alessandro & Steel, Mark F.J., 2012. "Modelling multi-output stochastic frontiers using copulas," Computational Statistics & Data Analysis, Elsevier, vol. 56(11), pages 3757-3773.
  13. Areal, Francisco J & Tiffin, Richard & Balcombe, Kelvin, 2010. "Provision of an environmental output within a multi-output distance function approach," MPRA Paper 25051, University Library of Munich, Germany.
  14. Lota D. Tamini & Bruno Larue & Gale West, 2012. "Technical and environmental efficiencies and best management practices in agriculture," Applied Economics, Taylor & Francis Journals, vol. 44(13), pages 1659-1672, May.
  15. Goto, Mika & Makhija, Anil K., 2007. "The Impact of Competition and Corporate Structure on Productive Efficiency: The Case of the U.S. Electric Utility Industry, 1990-2004," Working Paper Series 2007-10, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
  16. Kumbhakar, Subal C. & Tsionas, Efthymios G., 2005. "Measuring technical and allocative inefficiency in the translog cost system: a Bayesian approach," Journal of Econometrics, Elsevier, vol. 126(2), pages 355-384, June.

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