Interval estimation for the two-parameter bathtub-shaped lifetime distribution based on records

被引：0

作者：

Asgharzadeh, A. ^{[1
]}

Abdi, M. ^{[2
]}

Wu, Shuo-Jye ^{[3
]}

机构：

[1] Univ Mazandaran, Fac Math Sci, Dept Stat, Babol Sar, Iran

[2] Higher Educ Complex Bam, Dept Math & Comp, Bam, Iran

[3] Tamkang Univ, Dept Stat, New Taipei City 25137, Taiwan

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2015年 / 44卷 / 02期

关键词：

Confidence interval; Joint confidence region; Monte Carlo simulation; Pivot; Upper record values; MODEL;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the estimation problems for the two-parameter bathtub-shaped lifetime distribution based on upper record values. Exact confidence intervals and exact joint confidence regions for the parameters are constructed. Approximate confidence intervals and regions are also discussed based on the asymptotic normality of the maximum likelihood estimators. A simulation study is done for the performance of all proposed confidence intervals and regions. Two numerical examples with real data set and simulated data, are presented to illustrate the methods proposed here.

引用

页码：399 / +

页数：17

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