摘要
对超越对数生产函数替代弹性的理论公式提出异议,利用微分与导数知识推导出新的理论公式。在此基础上,采用岭回归方法重新对中国超越对数生产函数模型作实证分析,并指出方差膨胀因子在确定岭参数过程中存在的不当用法。实证比较结果表明:产出随时间的自主变化弹性值被高估;劳动的产出弹性值被低估;资本对劳动、资本对能源、劳动对能源的替代弹性值均接近理想状态并呈逐年递减趋势。
This paper raises an objection to the theoretical formula about the substitution elasticity of trans-log production function,and then uses differential and derivative knowledge to derive a new one. On this basis, uses ridge regression method to renew the empirical analysis about China' s trans-log production function model, and points out the improper usage about variance inflation factor existing in the process of determining ridge parameter. The empirical comparison results show that: the output elasticity values of time independent change are overestimated; the output elasticity values of labor are underestimated; all the substitution elasticity values of capital to labor,capital to energy and labor to energy are close to the ideal state and show a trend of decreasing year by year.
出处
《石家庄经济学院学报》
2014年第5期14-19,共6页
Journal of Shijiazhuang University of Economics
基金
福建省新世纪优秀人才支持计划(K8012065A)
福建省教育厅社会科学研究项目(JB11098S)
关键词
超越对数生产函数
替代弹性
方差膨胀因子
岭回归
trans-log production function
substitution elasticity
variance inflation factor
ridge regression