A LOG LINEAR-MODEL FOR THE BIRNBAUM-SAUNDERS DISTRIBUTION

被引：184

作者：

RIECK, JR ^{[1
]}

NEDELMAN, JR ^{[1
]}

机构：

[1] SUNY ALBANY,DEPT BIOMETRY & STAT,ALBANY,NY 12222

来源：

TECHNOMETRICS | 1991年 / 33卷 / 01期

关键词：

BIAS APPROXIMATION; FATIGUE LIFE; ITERATIVE LEAST SQUARES; LEAST SQUARES; MAXIMUM LIKELIHOOD;

D O I：

10.2307/1269007

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：

The Birnbaum-Saunders distribution was derived to model times to failure for metals subject to fatigue. In this article, we formulate and develop a log-linear model for the Birnbaum-Saunders distribution. The model may be used for accelerated life testing or to compare the median lives of several populations. Methods of analyzing data for this log-linear model are discussed, with maximum likelihood and least squares methods being compared. It is found that, for commonly occurring conditions, the notorious intractability of the Birnbaum-Saunders distribution is not a serious problem because least squares and normal-theory procedures provide a reasonable alternative.

引用

页码：51 / 60

页数：10