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Activity Number: 604
Type: Contributed
Date/Time: Thursday, August 6, 2009 : 10:30 AM to 12:20 PM
Sponsor: Section on Physical and Engineering Sciences
Abstract - #305675
Title: Optimal Goodness-of-Fit Tests for Recurrent Event Data
Author(s): Russell Stocker*+
Companies: Mississippi State University
Address: Department of Mathematics and Statistics, Mississippi, MS, 39762,
Keywords: recurrent events ; reliability ; goodness of fit ; counting processes
Abstract:

In this talk we consider a study of lifetime data whose units experience multiple ordered events of the same nature. These events are commonly referred to as recurrent events. A class of models used to analyze recurrent event data is presented. We propose goodness-of-fit tests for the null hypothesis that the baseline intensity function belongs to a parametric family of intensities indexed by a parameter. These tests are based on a general class of weighted empirical processes. The asymptotic properties of these processes are given. Goodness-of-fits are then constructed based on these processes. Optimality results with regards to local power are presented for these tests. A real data set is used to illustrate the proposed tests.


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