Estimations of the joint distribution of failure time and failure type with dependent truncation

Yu Jen Cheng, Mei Cheng Wang, Chang Yu Tsai

Research output: Contribution to journalArticle

Abstract

In biomedical studies involving survival data, the observation of failure times is sometimes accompanied by a variable which describes the type of failure event (Kalbeisch and Prentice, 2002). This paper considers two specific challenges which are encountered in the joint analysis of failure time and failure type. 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.

Original languageEnglish (US)
Pages (from-to)428-438
Number of pages11
JournalBiometrics
Volume75
Issue number2
DOIs
StatePublished - Jan 1 2019

Fingerprint

Failure Time
Joint Distribution
Truncation
Sampling
Dependent
Survival Data
Selection Bias
sampling
Left Truncation
Observation
Simulation Study
Estimate

Keywords

  • competing risks
  • cumulative incidence function
  • dependent truncation
  • prevalent sampling

ASJC Scopus subject areas

  • Statistics and Probability
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Cite this

Estimations of the joint distribution of failure time and failure type with dependent truncation. / Cheng, Yu Jen; Wang, Mei Cheng; Tsai, Chang Yu.

In: Biometrics, Vol. 75, No. 2, 01.01.2019, p. 428-438.

Research output: Contribution to journalArticle

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