A new extension of the Birnbaum-Saunders distribution

被引：29
|
作者：
Lemonte, Artur J. [1 ]
机构：
[1] Univ Sao Paulo, Dept Estat, BR-05508090 Sao Paulo, Brazil
来源：
BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS | 2013年 / 27卷 / 02期
基金：
巴西圣保罗研究基金会;
关键词：
Birnbaum-Saunders distribution; fatigue life distribution; lifetime data; Marshall-Olkin extended distribution; maximum likelihood estimation; LIFE DISTRIBUTIONS; AIR-POLLUTION; FAMILY; FATIGUE; INFERENCE; MODELS;
D O I：
10.1214/11-BJPS160
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, a new extension for the Birnbaum-Saunders distribution, which has been applied to the modeling of fatigue failure times and reliability studies, is introduced. The proposed model, called the Marshall-Olkin extended Birnbaum-Saunders distribution, arises based on the scheme introduced by Marshall and Olkin [Biometrika 84 (1997) 641-652]. The maximum likelihood estimators and statistical inference for the new distribution parameters and influence diagnostic for the new distribution are presented. Finally, the proposed new distribution is applied to model three real data sets.
引用
收藏
页码：133 / 149
页数：17
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