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Production Risk and the Estimation of Ex Ante Cost Functions

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Abstract

Cost function estimation under production uncertainty is problematic because the relevant cost is conditional on unobservable expected output. If input demand functions are also stochastic, then a nonlinear errors-in-variables model is obtained and standard estimation procedures typically fail to attain consistency. But by exploiting the full implications of the expected profit maximization hypothesis that gives rise to ex ante cost functions, it is shown that the errors-in-variables problem can be effectively removed, and consistent estimation of the parameters of interest can be achieved. A Monte Carlo experiment illustrates the advantages of the proposed procedure as well as the pitfalls of other existing estimators.

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File URL: http://www.card.iastate.edu/publications/DBS/PDFFiles/00wp262.pdf
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Paper provided by Center for Agricultural and Rural Development (CARD) at Iowa State University in its series Center for Agricultural and Rural Development (CARD) Publications with number 00-wp262.

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Date of creation: Dec 2000
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Handle: RePEc:ias:cpaper:00-wp262

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  1. V. Eldon Ball & Jean-Christophe Bureau & Richard Nehring & Agapi Somwaru, 1997. "Agricultural Productivity Revisited," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(4), pages 1045-1063.
  2. Hausman, J. A. & Newey, W. K. & Powell, J. L., 1995. "Nonlinear errors in variables Estimation of some Engel curves," Journal of Econometrics, Elsevier, vol. 65(1), pages 205-233, January.
  3. Diewert, W E, 1971. "An Application of the Shephard Duality Theorem: A Generalized Leontief Production Function," Journal of Political Economy, University of Chicago Press, vol. 79(3), pages 481-507, May-June.
  4. Hsiao, C., 1988. "Consistent Estimation For Some Nonlinear Errors-In- Variables Models," Papers m8810, Southern California - Department of Economics.
  5. McFadden, Daniel, 1978. "Cost, Revenue, and Profit Functions," Histoy of Economic Thought Chapters, in: Fuss, Melvyn & McFadden, Daniel (ed.), Production Economics: A Dual Approach to Theory and Applications, volume 1, chapter 1 McMaster University Archive for the History of Economic Thought.
  6. McElroy, Marjorie B, 1987. "Additive General Error Models for Production, Cost, and Derived Demand or Share Systems," Journal of Political Economy, University of Chicago Press, vol. 95(4), pages 737-57, August.
  7. Amemiya, Yasuo, 1985. "Instrumental variable estimator for the nonlinear errors-in-variables model," Journal of Econometrics, Elsevier, vol. 28(3), pages 273-289, June.
  8. Rulon D. Pope & Richard E. Just, 1998. "Cost Function Estimation under Risk Aversion," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 80(2), pages 296-302.
  9. Robert G. Chambers & John Quiggin, 1998. "Cost Functions and Duality for Stochastic Technologies," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 80(2), pages 288-295.
  10. Lau, Lawrence J., 1976. "A characterization of the normalized restricted profit function," Journal of Economic Theory, Elsevier, vol. 12(1), pages 131-163, February.
  11. Berndt, Ernst R & Wood, David O, 1975. "Technology, Prices, and the Derived Demand for Energy," The Review of Economics and Statistics, MIT Press, vol. 57(3), pages 259-68, August.
  12. Hausman, Jerry A. & Newey, Whitney K. & Ichimura, Hidehiko & Powell, James L., 1991. "Identification and estimation of polynomial errors-in-variables models," Journal of Econometrics, Elsevier, vol. 50(3), pages 273-295, December.
  13. Pope, Rulon D. & Just, Richard E., 1996. "Empirical implementation of ex ante cost functions," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 231-249.
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Cited by:
  1. Bittencourt, Mauricio V.L., 2003. "Presence Of Stochastic Errors In The Input Demands: Are Dual And Primal Estimations Equivalent?," 2003 Annual meeting, July 27-30, Montreal, Canada 22096, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
  2. Gouzaye, Amadou & Vitale, Jeffrey D. & Epplin, Francis M. & Adam, Brian D. & Stoecker, Arthur L., 2013. "The Value of Price Stabilization Policy for Cotton Producers in Burkina Faso," 2013 Annual Meeting, February 2-5, 2013, Orlando, Florida 142882, Southern Agricultural Economics Association.
  3. Hansen, Kristiana & Frahan, Bruno Henry de, 2011. "Evaluation of Agro-Environmental Policy through a Calibrated Simulation Farm Model," 2011 International Congress, August 30-September 2, 2011, Zurich, Switzerland 114577, European Association of Agricultural Economists.
  4. Matthew Andersen & Julian Alston & Philip Pardey, 2012. "Capital use intensity and productivity biases," Journal of Productivity Analysis, Springer, vol. 37(1), pages 59-71, February.
  5. Cherchye, L. & Post, G.T., 2001. "Methodological Advances in Dea," ERIM Report Series Research in Management ERS-2001-53-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus Uni.
  6. Emir Malikov & Diego A. Restrepo-Tobón & Subal C. Kumbhakar, 2013. "Estimation of Banking technology under credit uncertainty," DOCUMENTOS DE TRABAJO CIEF 010938, UNIVERSIDAD EAFIT.
  7. Just, David R., 2011. "Calibrating the wealth effects of decoupled payments: Does decreasing absolute risk aversion matter?," Journal of Econometrics, Elsevier, vol. 162(1), pages 25-34, May.
  8. Moro, Daniele & Sckokai, Paolo, 2013. "The impact of decoupled payments on farm choices: Conceptual and methodological challenges," Food Policy, Elsevier, vol. 41(C), pages 28-38.
  9. Esposti, Roberto & Pierani, Pierpaolo, 2002. "Public R&D Investment and Cost Behaviour in Italian Agriculture: 1960-1995," 2002 International Congress, August 28-31, 2002, Zaragoza, Spain 24974, European Association of Agricultural Economists.
  10. Alston, Julian M. & Andersen, Matthew A. & Pardey, Philip G., 2006. "Asset Utilization and Bias in Measures of U.S. Agricultural Productivity," 2006 Annual meeting, July 23-26, Long Beach, CA 21220, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
  11. Torres, Marcelo & Morrison Paul, Catherine J., 2006. "Driving forces for consolidation or fragmentation of the US water utility industry: A cost function approach with endogenous output," Journal of Urban Economics, Elsevier, vol. 59(1), pages 104-120, January.
  12. Polome, Philippe & Harmignie, Olivier & Frahan, Bruno Henry de, 2006. "Farm-level Acreage Allocation under Risk," 2006 Annual meeting, July 23-26, Long Beach, CA 21306, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).

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