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中国工业与应用数学学会会刊
主管:中华人民共和国教育部
主办:西安交通大学
ISSN 1005-3085  CN 61-1269/O1

工程数学学报 ›› 2018, Vol. 35 ›› Issue (2): 233-244.doi: 10.3969/j.issn.1005-3085.2018.02.009

• • 上一篇    

一个叠加CES生产函数模型及其应用(英)

程毛林   

  1. 苏州科技大学数理学院,苏州  215009
  • 收稿日期:2016-04-01 接受日期:2017-03-07 出版日期:2018-04-15 发布日期:2018-06-15
  • 基金资助:
    国家自然科学基金(11401418).

An Overlapped Constant Elasticity of Substitution Production Function Model and Its Application

CHENG Mao-lin   

  1. School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215009
  • Received:2016-04-01 Accepted:2017-03-07 Online:2018-04-15 Published:2018-06-15
  • Supported by:
    The National Natural Science Foundation of China (11401418).

摘要: 在经济增长因素分析中,人们常常利用CES生产函数模型测算各影响要素对经济增长的贡献率.CES生产函数模型的形式较多,本文考虑生产的多元结构特性提出叠加CES生产函数新模型.本文对所建立的模型进行了质量评估,即参数评估,残差评估,精度评估,并验证了所提模型的合理性.在应用上,本文利用叠加CES生产函数模型给出新的科学测算要素贡献率的方法.最后,本文对中国经济增长因素贡献率进行了实证分析,结果符合实际.

关键词: 生产函数, 经济增长, 要素贡献率, 实证分析

Abstract: When analyzing economic growth factors, researchers often use a production function model, the constant elasticity of substitution production function model, to estimate and calculate the contribution rate of various influential factors to economic growth. The constant elasticity of substitution production function model takes multiple forms, and this paper puts forward a new overlapped constant elasticity of substitution production function model based on certain multivariate structural characteristics of production. This paper makes a quality assessment of the established model by assessing parameters, residual error and precision. This paper also verifies the appropriateness of the proposed model. In terms of application, this paper proposes a new scientific method to calculate the contribution rate of factors by using the overlapped constant elasticity of the substitution production function model. Finally, this paper conducts an empirical analysis of the contribution rate of relevant factors on the economic growth of China, and the results achieved were found to conform to the actual situation. The method presented in this paper may be helpful to the in-depth study of production function models.

Key words: production function, economic growth, contribution rate of factor, empirical analysis

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