利用全部时期的技术构成的前沿面为参照,将双前沿面数据包络分析下的Malmquist指数拓展为双前沿面数据包络分析下的全局Malmquist指数。该全局Malmquist指数不仅较好地综合了乐观前沿面和悲观前沿面两部分信息,而且满足循环性检验;不仅可以避免由于前沿面选择的不同而导致的差异,还可以避免因时期选择的任意性而导致的差异。将其用于福建省工业行业2001-2008年的全要素生产率分析,研究结果较好地说明了该方法的有效性和实用性。
Measures of productivity growth constitute core indicators for the analysis of economic growth. The data envelopment analysis (DEA)-based Malmquist quantity index has enjoyed widespread use in a production context. By using all the periods to construct a global benchmarking technology frontier, the double frontiers data envelopment analysis (DFDEA)-based Malmquist productivity index is extended to acquire a DFDEA-based global Malmquist productivity index, which can avoid the differences in evaluation results resulted from the arbitrary choice of frontiers and base periods. This global index integrates the information on both the optimistic frontier and the pessimistic frontier and can meet the requirement of circular test. This global Malmquist productivity index is applied to investigate the behaviors of the industrial sectors of Fujian province during the years 2001 to 2008. The application results have clearly shown that our approach is more comprehensive and more realistic than the traditional DEA-based MPI in measuring productivity index.
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