The Lehmann type II inverse Weibull distribution in the presence of censored data

被引：7

作者：

Tomazella, Vera L. D. ^{[1
]}

Ramos, Pedro L. ^{[2
]}

Ferreira, Paulo H. ^{[3
]}

Mota, Alex L. ^{[1
,2
]}

Louzada, Francisco ^{[2
]}

机构：

[1] Univ Fed Sao Carlos, Dept Stat, Sao Carlos, SP, Brazil

[2] Univ Sao Paulo, Inst Math Sci & Comp, Sao Carlos, SP, Brazil

[3] Univ Fed Bahia, Dept Stat, Salvador, BA, Brazil

来源：

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 2022年 / 51卷 / 12期

基金：

巴西圣保罗研究基金会;

关键词：

Bootstrap-based bias correction; Maximum likelihood estimation; Reliability data; Right-censoring; Unimodal failure rate; FAMILY;

D O I：

10.1080/03610918.2020.1823000

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 article, we investigate the mathematical properties of the Lehmann type II inverse Weibull distribution. We show that this model is a reparameterized version of the Kumaraswamy-inverse Weibull distribution without identifiability problems. Parameter estimation is discussed using maximum likelihood (ML) method under a right-censoring scheme. Furthermore, a bootstrap resampling approach is considered to reduce the bias of the ML estimates. In order to illustrate the proposed methodology, we consider a real data set related to the failure time of devices in an aircraft.

引用

页码：7057 / 7073

页数：17

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