JSM 2004 - Toronto

Abstract #301203

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Activity Number: 232
Type: Contributed
Date/Time: Tuesday, August 10, 2004 : 10:30 AM to 12:20 PM
Sponsor: Section on Physical and Engineering Sciences
Abstract - #301203
Title: Detecting Multiple Populations within a Collection of Repairable Systems
Author(s): Jeffrey Glosup*+
Companies: Sun Microsystems Inc.
Address: 18 Network Cir., Menlo Park, CA, 94025,
Keywords: mean cumulative function ; repairable system reliability ; mixture model
Abstract:

The recurrence rate of failures in a collection of repairable systems can be studied nonparamentrically with the mean cumulative function. However, this representation of average system behavior is misleading if the rate of occurence of failures is not the same for all systems. In practice, there may be a subset of systems which fail at a much higher rate than the majority of systems. This can be modeled as a mixture of distributions for time to next failure, where each system follows a single distribution. Methods for detecting the presence of such a mixture of distributions are developed and explored. Methods used to categorize individual systems from a collection into multiple groups are also discussed.


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