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Stochastic production function estimation: small sample properties of ML versus FGLS

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  • Atanu Saha
  • Arthur Havenner
  • Hovav Talpaz

Abstract

Just-Pope production functions have been traditionally estimated by feasible generalized least squares (FGLS). This paper investigates the small-sample properties of FGLS and maximum likelihood (ML) estimators in heteroscedastic error models. Monte Carlo experiment results show that in small samples, even when the error distribution departs significantly from normality, the ML estimator is more efficient and suffers from less bias than FGLS. Importantly, FGLS was found to seriously understate the risk effects of inputs and provide biased marginal product estimates. These results are explained by showing that the FGLS criteria being optimized at the multiple stages are not logically consistent.

Suggested Citation

  • Atanu Saha & Arthur Havenner & Hovav Talpaz, 1997. "Stochastic production function estimation: small sample properties of ML versus FGLS," Applied Economics, Taylor & Francis Journals, vol. 29(4), pages 459-469.
  • Handle: RePEc:taf:applec:v:29:y:1997:i:4:p:459-469
    DOI: 10.1080/000368497326958
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    1. Taylor, William E, 1977. "Small Sample Properties of a Class of Two Stage Aitken Estimators," Econometrica, Econometric Society, vol. 45(2), pages 497-508, March.
    2. Magnus, Jan R., 1978. "Maximum likelihood estimation of the GLS model with unknown parameters in the disturbance covariance matrix," Journal of Econometrics, Elsevier, vol. 7(3), pages 281-312, April.
    3. 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.
    4. Harvey, A C, 1976. "Estimating Regression Models with Multiplicative Heteroscedasticity," Econometrica, Econometric Society, vol. 44(3), pages 461-465, May.
    5. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-838, May.
    6. H. Alan Love & Steven T. Buccola, 1991. "Joint Risk Preference-Technology Estimation with a Primal System," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 73(3), pages 765-774.
    7. Peter B. R. Hazell, 1984. "Sources of Increased Instability in Indian and U.S. Cereal Production," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 66(3), pages 302-311.
    8. Kumbhakar, Sabul C., 1993. "Production risk, technical efficiency, and panel data," Economics Letters, Elsevier, vol. 41(1), pages 11-16.
    9. Richard E. Just & Rulon D. Pope, 1979. "Production Function Estimation and Related Risk Considerations," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 61(2), pages 276-284.
    10. Arne Hallam & Rashid M. Hassan & B. D'Silva, 1989. "Measuring Stochastic Technology for the Multi-product Firm: The Irrigated Farms of Sudan," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 37(3), pages 495-512, November.
    11. Oberhofer, W & Kmenta, J, 1974. "A General Procedure for Obtaining Maximum Likelihood Estimates in Generalized Regression Models," Econometrica, Econometric Society, vol. 42(3), pages 579-590, May.
    12. Kiefer, Nicholas M. & Salmon, Mark, 1983. "Testing normality in econometric models," Economics Letters, Elsevier, vol. 11(1-2), pages 123-127.
    13. Steven T. Buccola & Bruce A. McCarl, 1986. "Small-Sample Evaluation of Mean-Variance Production Function Estimators," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 68(3), pages 732-738.
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    4. Chen, Po-Chi & Yu, Ming-Miin & Chang, Ching-Cheng & Hsu, Shih-Hsun, 2008. "Total factor productivity growth in China's agricultural sector," China Economic Review, Elsevier, vol. 19(4), pages 580-593, December.
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    6. Antti Saastamoinen, 2015. "Heteroscedasticity Or Production Risk? A Synthetic View," Journal of Economic Surveys, Wiley Blackwell, vol. 29(3), pages 459-478, July.
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    8. Ragnar Tveteros, 1999. "Production Risk and Productivity Growth: Some Findings for Norwegian Salmon Aquaculture," Journal of Productivity Analysis, Springer, vol. 12(2), pages 161-179, September.
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    10. Ragner Tveterås & G. H. Wan, 2000. "Flexible panel data models for risky production technologies with an application to salmon aquaculture," Econometric Reviews, Taylor & Francis Journals, vol. 19(3), pages 367-389.
    11. Catherine Benjamin & Ewen Gallic, 2017. "Effects of Climate Change on Agriculture: a European case study," Economics Working Paper Archive (University of Rennes & University of Caen) 2017-16, Center for Research in Economics and Management (CREM), University of Rennes, University of Caen and CNRS.
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    16. K. Palanisami & C. R. Ranganathan & K. R. Kakumanu & Udaya Sekhar Nagothu, 2011. "A Hybrid Model to Quantify the Impact of Climate Change on Agriculture in Godavari Basin, India," Energy and Environment Research, Canadian Center of Science and Education, vol. 1(1), pages 1-32, December.
    17. Mohamed Adel Dhif & Mohamed Mekki Ben Jemaa, 2004. "Uncertainty and Risk Aversion: Implication for Tunisian Cereals Crops," Working Papers 0415, Economic Research Forum, revised 07 Jan 2004.
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