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Activity Number: 293 - Recent Advances in Lifetime Data Analysis
Type: Topic Contributed
Date/Time: Tuesday, July 30, 2019 : 8:30 AM to 10:20 AM
Sponsor: Lifetime Data Science Section
Abstract #302890
Title: Estimations of the Joint Distribution of Failure Time and Failure Type with Prevalent Survival Data
Author(s): Yu-Jen Cheng* and Mei-Cheng Wang and Chang-Yu Tsai
Companies: National Tsing Hua University and Johns Hopkins University and National Tsing Hua University
Keywords: Competing risks; Cumulative incidence function; Dependent truncation; Prevalent sampling
Abstract:

This paper considers two speci?c challenges encountered in the joint analysis of failure time and failure type when the observation of failure times is sometimes accompanied by a variable which describes the type of failure event. First, because the observation of failure times is subject to left truncation, the sampling bias extends to the failure type which is associated with the failure time. An analytical challenge is to deal with such sampling bias. Second, in case that the joint distribution of failure time and failure type is allowed to have a temporal trend, it is of interest to estimate the joint distribution of failure time and failure type nonparametrically. This paper develops statistical approaches to address these two analytical challenges on the basis of prevalent survival data. The proposed approaches are examined through simulation studies and illustrated by using a real data set.


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