Open Access
VOL. 49 | 2006 Restricted estimation of the cumulative incidence functions corresponding to competing risks
Hammou El Barmi, Hari Mukerjee

Editor(s) Javier Rojo

IMS Lecture Notes Monogr. Ser., 2006: 241-252 (2006) DOI: 10.1214/074921706000000482


In the competing risks problem, an important role is played by the cumulative incidence function (CIF), whose value at time $t$ is the probability of failure by time $t$ from a particular type of failure in the presence of other risks. In some cases there are reasons to believe that the CIFs due to various types of failure are linearly ordered. El Barmi et al. studied the estimation and inference procedures under this ordering when there are only two causes of failure. In this paper we extend the results to the case of $k$ CIFs, where $k\ge3$. Although the analyses are more challenging, we show that most of the results in the 2-sample case carry over to this $k$-sample case.


Published: 1 January 2006
First available in Project Euclid: 28 November 2007

zbMATH: 1268.62131
MathSciNet: MR2338546

Digital Object Identifier: 10.1214/074921706000000482

Primary: 60K35 , 62G05
Secondary: 60F17 , 62G30

Keywords: competing risks , cumulative incidence functions , estimation , hypothesis test , k-sample problems , order restriction , weak convergence

Rights: Copyright © 2006, Institute of Mathematical Statistics

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