Consistency of the α-trimming of a probability. Applications to central regions

被引：4
|
作者：
Cascos, Ignacio [1 ]
Lopez-Dia, Miguel [2 ,3 ]
机构：
[1] Univ Carlos III Madrid, Dept Estadist, E-28911 Madrid, Spain
[2] Univ Oviedo, Fac Ciencias, Dept Estadist, E-33007 Oviedo, Spain
[3] Univ Oviedo, Fac Ciencias, IO & DM, E-33007 Oviedo, Spain
来源：
BERNOULLI | 2008年 / 14卷 / 02期
关键词：
alpha-trimming of a probability; depth-trimmed regions; integral trimmed regions; weak topology;
D O I：
10.3150/07-BEJ109
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
The sequence of alpha-trimmings of empirical probabilities is shown to converge, in the Painleve-Kuratowski sense, on the class of probability measures endowed with the weak topology, to the alpha-trimming of the population probability. Such a result is applied to the study of the asymptotic behaviour of central regions based on the trimming of a probability.
引用
收藏
页码：580 / 592
页数：13
相关论文
共 50 条
12345