Influence diagnostics in Birnbaum-Saunders nonlinear regression models

被引：25

作者：

Lemonte, Artur J. ^{[1
]}

Patriota, Alexandre G. ^{[1
]}

机构：

[1] Univ Sao Paulo, Dept Estat, BR-05508090 Sao Paulo, Brazil

来源：

JOURNAL OF APPLIED STATISTICS | 2011年 / 38卷 / 05期

基金：

巴西圣保罗研究基金会;

关键词：

Birnbaum-Saunders distribution; fatigue life distribution; influence diagnostic; generalized leverage; lifetime data; local influence; maximum-likelihood estimation; LOCAL INFLUENCE; LINEAR-MODELS; INFERENCE; FAMILY;

D O I：

10.1080/02664761003692357

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：

We consider the issue of assessing influence of observations in the class of Birnbaum-Saunders nonlinear regression models, which is useful in lifetime data analysis. Our results generalize those in Galea et al. [8] which are confined to Birnbaum-Saunders linear regression models. Some influence methods, such as the local influence, total local influence of an individual and generalized leverage are discussed. Additionally, the normal curvatures for studying local influence are derived under some perturbation schemes. We also give an application to a real fatigue data set.

引用

页码：871 / 884

页数：14

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