Takayama指数的渐近理论与统计可分解间隙估计
Asymptotic Theory and Statistical Decomposability gap Estimation for Takayama's Index
摘要：
在福利分析领域的一般贫困指数（GPI）最近的渐近工作的精神，渐近表示的非分解高山的指数，这未能被纳入统一的GPI方法，在这里解决和建立。这种表示也可以扩展到它，最近的统计分解差距估计的结果。理论结果应用于实际数据库。所进行的应用程序的结论建议使用高山的指数作为一个实际上可分解的，凭借低分解的差距相对于指数的大值。
英文摘要：
In the spirit of recent asymptotic works on the General Poverty Index (GPI) in the field of Welfare Analysis, the asymptotic representation of the non-decomposable Takayama's index, which has failed to be incorporated in the unified GPI approach, is addressed and established here. This representation allows also to extend to it, recent results of statistical decomposability gaps estimations. The theoretical results are applied to real databases. The conclusions of the undertaken applications recommend to use Takayama's index as a practically decomposable one, in virtue of the low decomposability gaps with respect to the large values of the index.
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