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This is the preliminary program for the 2007 Joint Statistical Meetings in Salt Lake City, Utah.

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Activity Number: 40
Type: Invited
Date/Time: Sunday, July 29, 2007 : 4:00 PM to 5:50 PM
Sponsor: SSC
Abstract - #307933
Title: A Class of Simple Lifetime Regression Models Resulting from First-Hitting Times
Author(s): Thierry Duchesne*+
Companies: Laval University
Address: Departement de mathematiques & statistique, Quebec, QC, G1K 7P4, Canada
Keywords: lifetime regression ; threshold regression ; collapsible model ; time-varying covariate
Abstract:

Oakes (1995), Kordonsky and Gertsbakh (1997) and Duchesne and Lawless (2000) consider a class of simple regression models for lifetime given the history of an increasing covariate that can be viewed as an alternate measure of age. These models are appealing due to their interpretability and potential for non-parametric inference, and they fit several types of datasets quite well; Oakes (1995) uses them to model the lifetime of miners exposed to asbestos dust and in an analysis of the Channing House retirement center data, whereas Kordonsky and Gertsbakh (1997) and Duchesne and Lawless (2000) use them in reliability data analyses. In this talk, we will see how these models can be obtained as the distribution of the first time that a wear (or health) process that is driven by usage (or exposure) hits a threshold. Potential for specific applications will also be discussed.


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Revised September, 2007