Loss of information of a statistic for a family of non-regular distributions, II: more general case
Loss of information of a statistic for a family of non-regular distributions, II: more general case
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非正则分布族统计信息丢失，II：更一般的情况
DOI：
10.1007/s10463-011-0347-4
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
M.
中科院分区：
文献类型：
--
作者：
Akahira;M.
在Akahira(Ann Inst Statist Math 48：349-364,1996)的论文中，证明了对于密度相同且有界支集端点处的微分系数和等于零的非正则分布族，在归结为由极值和渐近辅助统计量组成的统计量时，二阶渐近信息损失为零。在本文中，结果可以推广到没有上述限制的非正则分布族的情况。
In the paper of Akahira (Ann Inst Statist Math 48:349–364, 1996), it was shown that the second order asymptotic loss of information in reducing to a statistic consisting of extreme values and an asymptotically ancillary statistic vanished for a family of non-regular distributions whose densities have the same values and the sum of differential coefficients at the endpoints of the bounded support is equal to zero. In this paper, the result can be shown to be extended to the case of a family of non-regular distributions without the above restriction.