A Birnbaum-Saunders accelerated life model
Owen, W.J.
Padgett, W.J.
Dept. of Math. & Stat., New Hampshire Univ., Durham, NH;
This paper appears in: Reliability, IEEE Transactions on
Publication Date: Jun 2000
Volume: 49,
Issue: 2
On page(s): 224-229
ISSN: 0018-9529
References Cited: 24
CODEN: IERQAD
INSPEC Accession Number: 6758376
Digital Object Identifier: 10.1109/24.877342
Current Version Published: 2002-08-06
Abstract
The 2-parameter family of probability distributions introduced by
Birnbaum and Saunders characterizes the fatigue failure of materials
subjected to cyclic stresses and strains. It is shown that the methods
of accelerated life testing are applicable to the Birnbaum-Saunders
distribution for analyzing accelerated lifetime data, and the (inverse)
power law model is used due to its justification for describing
accelerated fatigue failure in metals. This paper develops the (inverse)
power law accelerated form of the Birnbaum-Saunders distribution, and
explores the corresponding inference procedures-including parameter
estimation techniques and the derivation of the s-expected Fisher
information matrix. The model approach in this paper is different from
an earlier work, which considered a log-linear form of a model with
applications to accelerated life testing. Here, using an example data
set, the fitted model is effectively used to estimate lower distribution
percentiles and mean failure times for particular values of the
acceleration variable. The benefits of having an operable closed form of
the Fisher information matrix, which is unique to this article for this
model, include interval estimation of model parameters and LCB on
percentiles using relatively simple computational procedures
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