This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 463
Type: Topic Contributed
Date/Time: Wednesday, August 4, 2010 : 8:30 AM to 10:20 AM
Sponsor: Section on Nonparametric Statistics
Abstract - #306878
Title: Some Censoring Issues Regarding the Reliability of Load-Sharing Systems
Author(s): James Lynch*+ and John M. Grego and Shuang Li and Jayaram Sethuraman
Companies: University of South Carolina and University of South Carolina and Fred Hutchinson Cancer Research Center and Florida State University
Address: Department of Statistics, Columbia, SC, 29208,
Keywords: partition based priors ; censoring ; load sharing systems ; reliability

The motivation for this talk is the analysis of data from a famous experiment in the 1960's by B. W. Rosen on unidirectional fibrous composites under increasing tensile load. Such composites can be modeled as load sharing systems where a fiber segment failure causes load transfer to adjacent segments that can initiate a cascade pattern of instantaneous fiber segment failures (multiple event failures). The data consists of a series of pictures where the failures of segments are indicated and where bounds on the fiber segment breaking strengths can be determined (interval censoring) if the pattern of failures is known. This pattern, though, is censored for several failures in Rosen's experiment. The point of the talk is to illustrate how a modification of the recent work of Sethuraman and Hollander (2009, JSPI) on partition based priors can be used to analyze this data.

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