Comparison of order statistics in two-sample problem in the sense of Pitman closeness

被引：7
作者：
Ahmadi, Jafar [1 ]
Raqab, Mohammad Z. [2 ]
机构：
[1] Ferdowsi Univ Mashhad, Ordered & Spatial Data Ctr Excellence, Dept Stat, Mashhad 91775, Iran
[2] Univ Jordan, Fac Sci, Dept Math, Amman 11942, Jordan
来源：
STATISTICS | 2013年 / 47卷 / 04期
关键词：
order statistics; Pitman measure of closeness; population quantiles; symmetric distribution; uniform distribution; exponential distribution; PREDICTORS;
D O I：
10.1080/02331888.2011.647916
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：
In this paper, we study the Pitman measure of closeness of order statistics of two independent samples from the same distribution to population quantiles. We then derive various exact expressions of the probability closeness of order statistics from the X and Y samples. Some distribution-free results for the median of the sampling distribution are obtained. Exact and explicit expressions are presented for Uniform(-1, 1) and exponential distributions. Numerical results for illustrative purposes are also provided.
引用
收藏
页码：729 / 743
页数：15
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