ON THE JOINT DISTRIBUTION OF STUDENTIZED ORDER-STATISTICS

被引：4

作者：

HWANG, TY ^{[1
]}

HU, CY ^{[1
]}

机构：

[1] NATL CHANGHUA UNIV EDUC,DEPT BUSINESS EDUC,CHANGHUA 50058,TAIWAN

来源：

ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS | 1994年 / 46卷 / 01期

关键词：

EXPONENTIAL DISTRIBUTION; NORMAL DISTRIBUTION; STUDENTIZED ORDER STATISTICS;

D O I：

10.1007/BF00773601

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, the joint distribution of some special linear combinations of the (internally) studentized order statistics are derived for both normal and exponential populations; the exact relationship between their pdf's is also obtained. The exact sampling distributions of studentized extreme deviation statistic, which has been proposed by Pearson and Chandra Sekar (1936, Biometrika, 28, 308-320), are derived for these two populations. An application to the most powerful location and scale invariant test is discussed briefly.

引用

页码：165 / 177

页数：13

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