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A Generalized Constant Elasticity of Substitution Production Function Model and Its Application

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  • Cheng Maolin

    (School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou215009, China)

Abstract

The constant elasticity of substitution production function describes the relationship between production results and production factors in the technological production process. The common production factors include capital and labor. In order to comprehensively reflect the input-output relationship, this paper generalizes the model and adds factors including energy, consumption, and import and export. With respect to estimating the parameters of the model, the paper proposes a high-precision and high-speed nonlinear regression method. The constant elasticity of substitution production function model is mainly used to calculate the contribution rates of economic growth factors, and this paper proposes a scientific and reliable calculating method. The final section of the paper proposes an empirical analysis of the contribution rates of Chinese economic growth factors.

Suggested Citation

  • Cheng Maolin, 2016. "A Generalized Constant Elasticity of Substitution Production Function Model and Its Application," Journal of Systems Science and Information, De Gruyter, vol. 4(3), pages 269-279, June.
    • Handle: RePEc:bpj:jossai:v:4:y:2016:i:3:p:269-279:n:7
    DOI: 10.21078/JSSI-2016-269-11
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    References listed on IDEAS

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    1. Kemfert, Claudia, 1998. "Estimated substitution elasticities of a nested CES production function approach for Germany," Energy Economics, Elsevier, vol. 20(3), pages 249-264, June.
    2. Liqun Wang & Alexandre Leblanc, 2008. "Second-order nonlinear least squares estimation," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 60(4), pages 883-900, December.
    3. Pollard, David & Radchenko, Peter, 2006. "Nonlinear least-squares estimation," Journal of Multivariate Analysis, Elsevier, vol. 97(2), pages 548-562, February.
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