A LOG LINEAR-MODEL FOR THE BIRNBAUM-SAUNDERS DISTRIBUTION

被引：176
|
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
收藏
页码：51 / 60
页数：10
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