CAJ | 학술논문

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。
대초월대수생산함수체대탄성적이론공식제출이의，이용미분여도수지식추도출신적이론공식。재차기출상，채용령회귀방법중신대중국초월대수생산함수모형작실증분석，병지출방차팽창인자재학정령삼수과정중존재적불당용법。실증비교결과표명：산출수시간적자주변화탄성치피고고；노동적산출탄성치피저고；자본대노동、자본대능원、노동대능원적체대탄성치균접근이상상태병정축년체감추세。
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 .T he 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 .