A Log-Linear Model for the Birnbaum—Saunders Distribution
作者:
JamesR. Rieck,
JerryR. Nedelman,
期刊:
Technometrics
(Taylor Available online 1991)
卷期:
Volume 33,
issue 1
页码: 51-60
ISSN:0040-1706
年代: 1991
DOI:10.1080/00401706.1991.10484769
出版商: Taylor & Francis Group
关键词: Bias approximation;Fatigue life;Iterative least squares;Least squares;Maximum likelihood
数据来源: Taylor
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.
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