Abstract
In this paper, production functions in the form of seemingly unrelated regressions (SUR) with errors that are heteroscedastic and that contain cross-section and time components are proposed. These functions are distinguished from others in that they allow the risks (indicated by variances) of outputs to change in any direction in response to input changes. The SUR are then applied in the analysis of cross-section time-series data for rice, wheat and maize production in China.
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References
Amemiya T (1971) The estimation of the variances in a variance-components model. International Economic Review 12:1–13
Anderson JR, Findlay CJ, Wan GH (1989) Are modern cultivars more risky? A question of stochastic efficiency. In: Anderson JR, Hazell PBR (eds) Variability in Grain Yields: Implications for Agricultural Research and Policy in Developing Countries. Johns Hopkins University Press, Baltimore, 301–308
Anderson JR, Dillon JL, Hardaker JB (1977) Agricultural Decision Analysis. The Iowa State University Press, Ames, Iowa
Avery RB (1977) Error components and seemingly unrelated regressions. Econometrica 45:199–209
Baltagi BH (1980) On seemingly unrelated regressions with error components. Econometrica 48:1547–1551
Griffiths WE, Anderson JR (1982) Using time-series and cross-section data to estimate a production function with positive and negative marginal risks. Journal of the American Statistical Association 77:529–536
Harvey AC (1976) Estimating regression models with multiplicative heteroscedasticity. Econometrica 44:461–465
Hazell PBR (1984) Sources of increased instability in Indian and US cereal production. American Journal of Agricultural Economics 66:302–311
Judge GG, Griffiths WE, Hill RC, Lütkepohl H, Lee LF (1985) The Theory and Practice of Econometrics, 2nd ed. John Wiley and Sons, New York
Just RE, Pope RD (1978) Stochastic specification of production functions and economic implications. Journal of Econometrics 7:67–86
Marquardt DW (1963) An algorithm for least squares estimation of non-linear parameters. Journal of the Society for Industrial and Applied Mathematics 11:431–441
Nash JC, Walker-Smith M (1987) Non-linear Parameter Estimation, vol 82. Marcel Dekker, New York
Prucha IR (1984) On the asymptotic efficiency of feasible Aitken estimates for seemingly unrelated regression models with error components. Econometrica 50:203–207
Stone B (1986) Chinese fertiliser application in the 1980s and 1990s: issues of growth, balance, allocation, efficiency and response. In: China's Economy Looks towards the Year 2000, vol 1, Selected Papers Submitted to the Joint Economic Committee, Congress of the United States. US Government Printing Office. Washington DC, pp 453–496
Wan GH, Griffiths WE, Anderson JR (1989) Estimation of Risk Effects with Seemingly Unrelated Regressions and Panel Data. Working Papers in Econometrics and Applied Statistics 40 Department of Econometrics, University of New England, Armidale
Wiens TB (1982) The limits to agricultural intensification: the Suzhou experience. In: China under the Four Modernisations, vol. 1 Selected Papers Submitted to the Joint Economic Committee, Congress of the United States, US Government Printing Office, Washington, DC, pp 462–474
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Wan, G.H., Griffiths, W.E. & Anderson, J.R. Using panel data to estimate risk effects in seemingly unrelated production functions. Empirical Economics 17, 35–49 (1992). https://doi.org/10.1007/BF01192473
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DOI: https://doi.org/10.1007/BF01192473