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August 2014 A hidden competing risk model for censored observations
Chrys Caroni, Polychronis Economou
Braz. J. Probab. Stat. 28(3): 333-352 (August 2014). DOI: 10.1214/12-BJPS210


We propose a model for lifetime data in which all units start out susceptible to the event of interest but may move into a non-susceptible group if another event intervenes. Practical examples include subjects dropping out of a study by leaving the study area. It is supposed that the investigator is unaware of each subject’s status. The model results in the appearance of a cured fraction (long-term survivors). It is shown that certain parametric models for the lifetime and the intervening event are related to a cured fraction mixture model even though the non-susceptible group is fixed from the outset in the latter but not in the new model. A likelihood ratio test and a diagnostic plot are proposed and examples of applications are provided.


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Chrys Caroni. Polychronis Economou. "A hidden competing risk model for censored observations." Braz. J. Probab. Stat. 28 (3) 333 - 352, August 2014.


Published: August 2014
First available in Project Euclid: 17 July 2014

zbMATH: 1304.62118
MathSciNet: MR3263051
Digital Object Identifier: 10.1214/12-BJPS210

Keywords: censoring mechanism , cured fraction , drop outs , lifetime data

Rights: Copyright © 2014 Brazilian Statistical Association


Vol.28 • No. 3 • August 2014
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