Cobb-Douglas生产函数经典参数估计模型的修正

Correction of classical parameter estimation model for the Cobb-Douglas production function

根据LS估计理论,对Cobb-Douglas生产函数经典参数估计模型存在的问题进行了分析.通过变量变换对该模型中随机误差的方差进行了修正,建立了一个新的参数估计模型.新模型满足Gauss-Markov假定,具有LS估计的优良性质.实例分析表明,新模型的参数估计精确度明显高于经典模型.

According to the theory of least-square estimation, the problems existing in classical parameter estimation model for the Cobb-Douglas production function are analyzed. Variations of random errors in the model are corrected by the transformation of variable. A model of parameter estimation is established which satisfies the gauss-markov hypothesis and possesses good qualities of least-square estimation. The example analysis indicates that the precision of parameter estimation of the model is higher than the one of classical parameter estimation model.