Optimal interval estimation for a family of lower truncated distribution under progressive censoring

被引：5
|
作者：
Wang, Liang [1 ]
机构：
[1] Xidian Univ, Sch Math & Stat, Xian 710071, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2015年 / 287卷
基金：
中国国家自然科学基金;
关键词：
Lower truncated distribution; Progressive censoring; Confidence interval; Joint confidence region; Optimal criteria; PARETO DISTRIBUTION; RELIABILITY; MODEL; PARAMETERS; SAMPLE;
D O I：
10.1016/j.cam.2015.03.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, based on progressively Type-II censored sample, different types of interval estimates of a general lower truncated distribution are constructed. Exact confidence intervals and joint exact confidence regions are derived for unknown model parameter and the lower truncated threshold bound. Optimal criteria are also provided for choosing the best confidence interval and confidence region among obtained estimates. Two real-life examples and a numerical study are presented to illustrate the performance of our results. (C) 2015 Elsevier B.V. All rights reserved.
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页码：67 / 77
页数：11
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