基于非参数-参数法的一致Malmquist生产率指数

A Consistent Malmquist Productivity Index Based on Nonparametric-parametric Approach

Malmquist生产率指数的计算结果依赖于参考的生产可能集,其原因是其分解的前沿面技术变化依赖于使用的投入产出数据.针对Malmquist生产率指数计算中存在的这些问题,将生产可能集推广为一致生产可能集,利用非参数、参数相结合的方法给出一种一致Malmquist生产率指数.该指数的计算结果不依赖于参考的生产可能集,且能系统反映出分析期内生产前沿面的移动,同时满足相邻Malmquist生产率指数不满足的指数检验-循环检验.

Malmquist productivity index is not consistent when rder to difference production technology, the reason of which is technical change,one component of Malmquist index corresponding to shifts at the frontier level, varies with different input-output datum. To overcome this shortcoming in the estimation of Malmquist productivity index, this paper extend production technology to consistent production technology, under which a consistent Malmquist productivity index is presented based on nonparametric-parametric approach.In addition to offering a consistent estimation for Malmquist productivity index, the method presented here can also capture the movement of the pnxluction frontier systematically and satisfy circular test-one index test that can＇ t be satisfied by adjacent Mahnquist productivity index.