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A Stochastic Frontier Production Function with Flexible Risk Properties

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  • G. Battese
  • A. Rambaldi
  • G. Wan

Abstract

This paper considers a stochastic frontier production function which has additive, heteroscedastic error structure. The model allows for negative or positive marginal production risks of inputs, as originally proposed by Just and Pope (1978). The technical efficiencies of individual firms in the sample are a function of the levels of the input variables in the stochastic frontier, in addition to the technical inefficiency effects. These are two features of the model which are not exhibited by the commonly used stochastic frontiers with multiplicative error structures. An empirical application is presented using cross-sectional data on Ethiopian peasant farmers. The null hypothesis of no technical inefficiencies of production among these farmers is accepted. Further, the flexible risk models do not fit the data on peasant farmers as well as the traditional stochastic frontier model with multiplicative error structure. Copyright Kluwer Academic Publishers 1997

Suggested Citation

  • G. Battese & A. Rambaldi & G. Wan, 1997. "A Stochastic Frontier Production Function with Flexible Risk Properties," Journal of Productivity Analysis, Springer, vol. 8(3), pages 269-280, August.
  • Handle: RePEc:kap:jproda:v:8:y:1997:i:3:p:269-280
    DOI: 10.1023/A:1007755604744
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    References listed on IDEAS

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    1. Kumbhakar, Sabul C., 1993. "Production risk, technical efficiency, and panel data," Economics Letters, Elsevier, vol. 41(1), pages 11-16.
    2. Just, Richard E. & Pope, Rulon D., 1978. "Stochastic specification of production functions and economic implications," Journal of Econometrics, Elsevier, vol. 7(1), pages 67-86, February.
    3. 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.
    4. Kidane, Asmerom & Abler, David G., 1994. "Production technologies in Ethiopian agriculture," Agricultural Economics, Blackwell, vol. 10(2), pages 179-191, April.
    5. Meeusen, Wim & van den Broeck, Julien, 1977. "Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(2), pages 435-444, June.
    6. Gourieroux, Christian & Holly, Alberto & Monfort, Alain, 1982. "Likelihood Ratio Test, Wald Test, and Kuhn-Tucker Test in Linear Models with Inequality Constraints on the Regression Parameters," Econometrica, Econometric Society, vol. 50(1), pages 63-80, January.
    7. Coelli, T. J., 1992. "A computer program for frontier production function estimation : Frontier version 2.0," Economics Letters, Elsevier, vol. 39(1), pages 29-32, May.
    8. Battese, George E. & Coelli, Tim J., 1988. "Prediction of firm-level technical efficiencies with a generalized frontier production function and panel data," Journal of Econometrics, Elsevier, vol. 38(3), pages 387-399, July.
    9. Kidane, Asmerom & Abler, David G., 1994. "Production technologies in Ethiopian agriculture," Agricultural Economics of Agricultural Economists, International Association of Agricultural Economists, vol. 10(2), April.
    10. 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.
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    Cited by:

    1. Alghalith, Moawia, 2008. "Recent applications of theory of the firm under uncertainty," European Journal of Operational Research, Elsevier, vol. 186(2), pages 443-450, April.
    2. Céline Nauges & Christopher J. O'Donnell & John Quiggin, 2011. "Uncertainty and technical efficiency in Finnish agriculture: a state-contingent approach," European Review of Agricultural Economics, Foundation for the European Review of Agricultural Economics, vol. 38(4), pages 449-467, October.
    3. Christopher O’Donnell & Robert Chambers & John Quiggin, 2010. "Efficiency analysis in the presence of uncertainty," Journal of Productivity Analysis, Springer, vol. 33(1), pages 1-17, February.
    4. Serra, Teresa & Zilberman, David & Gil, Jose Maria, 2008. "Farms' technical inefficiencies in the presence of government programs," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 0(Issue 1), pages 1-20.
    5. Tai-Hsin Huang & Tong-Liang Kao, 2006. "Joint estimation of technical efficiency and production risk for multi-output banks under a panel data cost frontier model," Journal of Productivity Analysis, Springer, vol. 26(1), pages 87-102, August.
    6. repec:gam:jsusta:v:9:y:2017:i:10:p:1803-:d:114125 is not listed on IDEAS
    7. Fleming, Euan M. & Farrell, Terence C. & Villano, Renato A. & Fleming, Pauline, 2006. "Is farm benchmarking the new acceptable face of comparative analysis?," Australasian Agribusiness Review, University of Melbourne, Melbourne School of Land and Environment, vol. 0.
    8. Raushan Bokusheva & Heinrich Hockmann, 2006. "Production risk and technical inefficiency in Russian agriculture," European Review of Agricultural Economics, Foundation for the European Review of Agricultural Economics, vol. 33(1), pages 93-118, March.
    9. Khor, Ling Yee & Zeller, Manfred, 2012. "Doubts on input quality: The effect of inaccurate fertilizer content on the estimation of production functions and technical efficiency," 2012 Conference, August 18-24, 2012, Foz do Iguacu, Brazil 126212, International Association of Agricultural Economists.
    10. Rajendran, Srinivasulu, 2014. "Technical Efficiency of Fruit and Vegetable Producers in Tamil Nadu, India: A Stochastic Frontier Approach," Asian Journal of Agriculture and Development, Southeast Asian Regional Center for Graduate Study and Research in Agriculture (SEARCA), vol. 0(Number 1), pages 1-17, June.
    11. Serra, Teresa & Oude Lansink, Alfons, 2014. "Measuring the impacts of production risk on technical efficiency: A state-contingent conditional order-m approach," European Journal of Operational Research, Elsevier, vol. 239(1), pages 237-242.
    12. Tai-Hsin Huang, 2004. "Empirical estimation of production risk using a cost function with panel data," Applied Economics Letters, Taylor & Francis Journals, vol. 11(5), pages 297-301.
    13. Chang, Hung-Hao & Wen, Fang-I, 2008. "Off-farm Work, Technical Efficiency, and Production Risk: Empirical Evidence from a National Farmer Survey in Taiwan," 2008 Annual Meeting, July 27-29, 2008, Orlando, Florida 6164, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    14. Nauges, Celine & O'Donnell, Christopher J. & Quiggin, John C., 2009. "Uncertainty and technical efficiency in Finnish Agriculture," 2009 Conference (53rd), February 11-13, 2009, Cairns, Australia 48062, Australian Agricultural and Resource Economics Society.
    15. Khor, Ling Yee & Zeller, Manfred, 2014. "Inaccurate fertilizer content and its effect on the estimation of production functions," China Economic Review, Elsevier, vol. 30(C), pages 123-132.
    16. Villano, Renato A. & O'Donnell, Christopher J. & Battese, George E., 2005. "An Investigation of Production Risk, Risk Preferences and Technical Efficiency: Evidence From Rainfed Lowland Rice Farms in the Philippines," Working Papers 12953, University of New England, School of Economics.
    17. Lovell, Knox, 2001. "Future Research Opportunities in Efficiency and Productivity Analysis," Efficiency Series Papers 2001/01, University of Oviedo, Department of Economics, Oviedo Efficiency Group (OEG).
    18. Jaenicke, Edward C. & Larson, James A., 2001. "Production Risk Revisited In A Stochastic Frontier Framework: Evaluating Noise And Inefficiency In Cover Crop Systems," 2001 Annual meeting, August 5-8, Chicago, IL 20477, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    19. Jaenicke, Edward C. & Frechette, Darren L. & Larson, James A., 2003. "Estimating Production Risk and Inefficiency Simultaneously: An Application to Cotton Cropping Systems," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 0(Number 3), pages 1-18, December.
    20. Villano, Renato A. & Fleming, Euan M., 2004. "Analysis of Technical Efficiency in a Rainfed Lowland Rice Environment in Central Luzon Philippines Using a Stochastic Frontier Production Function with a Heteroskedastic Error Structure," Working Papers 12906, University of New England, School of Economics.
    21. Antti Saastamoinen, 2015. "Heteroscedasticity Or Production Risk? A Synthetic View," Journal of Economic Surveys, Wiley Blackwell, vol. 29(3), pages 459-478, July.
    22. Huettel, Silke & Narayana, Rashmi & Odening, Martin, 2011. "Measuring dynamic efficiency under uncertainty," Structural Change in Agriculture/Strukturwandel im Agrarsektor (SiAg) Working Papers 129062, Humboldt University Berlin, Department of Agricultural Economics.
    23. Jaime, Mónica M. & Salazar, César A., 2009. "Capital social y eficiencia técnica de los pequeños agricultores de trigo de la Región del Bío Bío
      [Social Capital and technical efficiency of wheat small farmers in the Bío Bío Region (Chile)]
      ," MPRA Paper 17220, University Library of Munich, Germany.
    24. Ali D. Cagdas & Scott R. Jeffrey & Elwin G. Smith & Peter C. Boxall, 2016. "Environmental Stewardship and Technical Efficiency in Canadian Prairie Canola Production," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 64(3), pages 455-477, September.
    25. Cagdas, Ali D. & Jeffrey, Scott R. & Smith, Elwin G. & Boxall, Peter C., 2013. "Adoption of BMPs and technical inefficiency in Canadian canola production," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 150200, Agricultural and Applied Economics Association.

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