Characterizations of the Weibull and uniform distributions using record values

被引：4

作者：

Nadarajah, Saralees ^{[1
]}

Teimouri, Mandi ^{[2
,3
]}

Shih, Shou Hsing ^{[4
]}

机构：

[1] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England

[2] Amirkabir Univ Technol, Dept Stat, Fac Math & Comp Sci, Tehran 15914, Iran

[3] Gonbad Kavous Univ, Fac Sci, Dept Stat, Gonbad Kavous, Iran

[4] Amer Univ Sharjah, Dept Math & Stat, Sharjah, U Arab Emirates

来源：

BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS | 2014年 / 28卷 / 02期

关键词：

Record statistics; Weibull distribution; uniform distribution; CONDITIONAL-EXPECTATION; ORDER-STATISTICS; REGRESSION; ENTROPY;

D O I：

10.1214/12-BJPS202

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 Weibull distribution is characterized via the ratio of two upper record statistics. Also the uniform distribution is characterized via the ratio of two lower record statistics. As an application, an improved confidence interval for the Weibull shape parameter is presented.

引用

页码：209 / 222

页数：14

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