Pitman closeness of sample median to population median

被引：25

作者：

Balakrishnan, N. ^{[2
]}

Iliopoulos, G. ^{[3
]}

Keating, J. P. ^{[1
]}

Mason, R. L. ^{[4
]}

机构：

[1] Univ Texas San Antonio, San Antonio, TX 78249 USA

[2] McMaster Univ, Hamilton, ON L8S 4K1, Canada

[3] Univ Piraeus, Piraeus 18545, Greece

[4] SW Res Inst, San Antonio, TX 78228 USA

来源：

STATISTICS & PROBABILITY LETTERS | 2009年 / 79卷 / 16期

关键词：

D O I：

10.1016/j.spl.2009.04.016

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, Pitman closeness of order statistics to the median of a distribution is discussed. In particular, it is shown that the sample median is the Pitman-closest order statistic to the population median in some general situations, and expressions for probabilities of closeness are also derived. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1759 / 1766

页数：8

共 8 条

[1]

Arnold B. C., 2008, Classics in Applied Mathematics

[2] Estimating the center of symmetry: Is it always better to use larger sample sizes? [J].