关键词: 超越对数成本函数模型, 似不相关回归 , 全要素生产率, 规模经济

Abstract: Different from the traditional empirical research of cost function, this paper is concerned with the effects of total factor productivity heterogeneity on enterprise cost function estimation. Therefore, this paper first derives a complete cost function model including the total factor productivity from the CES production function, and makes regression using the sample of Chinese large chemical enterprises during 2003-2007. At the same time, we also use traditional regression model and the SFA model in order to compare methodological analysis. The results shows that, the total factor productivity do have important influences on the cost function estimation. The traditional model may have the problem of "omitted variables" which produces endogenous problems in seemingly unrelated regression. The result from three methods shows that: the scale economy effect of non-state-owned enterprise is remarkable, but the economies of scale test result of state-owned enterprises is not stable——the results of the different methods are not consistent. Therefore, before making government regulation, support and subsidy policies, the heterogeneity of enterprises should be considered in measuring the economies of scale and a variety of test methods should be used to ensure the effectiveness of policy interventions.

Key words: Translog Cost Function；Seemingly Unrelated Regression；Total Factor Productivity, Economies of Scale