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College of Science and Mathematics |
Department of Mathematics
Mathematics Seminar Series - Spring 2002
Monday,
February 25, 2002
11:30 am, Science Building, Small Auditorium Michelle H. CapozzoliBristol-Myers Squibb CompanyNew Bayesian Approach to Modeling Accelerated Life Test Data
Abstract:
An accelerated life test (ALT) is often used to obtain timely
information for very reliable items on test. In studying the
reliability of high-tech components and products, even those that
are nearly infallible, failures can often be traced to manufacturing
or engineering faults. Under accelerated environmental stress
conditions, even benign manufacturing faults or "flaws" may
eventually cause the unit to fail. In this paper, we propose a
new model which is motivated by the actual failure process of
units on test and allows for modeling units that remain free
of manufacturing faults and may not fail in their "technological
lifetime." The approach described herein yields a new class of
models and associated analyses under a Bayesian framework, which
are unique to the classical ALT procedures. For illustration, the
data set from Meeker and LuValle (1995) on the lifetimes of printed
circuit boards subjected to different levels of relative humidity
will be investigated.
The presentations cover a large variety of topics and are intended for a general math audience. The seminar is organized by Prof. Alfred Noël and we usually meet Monday afternoons, from 2:30 pm to 4:00 pm.
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