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Restricted estimation of the cumulative incidence functions corresponding to competing risks
El Barmi, Hammou Mukerjee, Hari
El Barmi, Hammou
Mukerjee, Hari
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2006
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Article
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Keywords
Competing risks,Cumulative incidence functions,Estimation,Hypothesis test,Fc-sample problems,Order restriction,Weak convergence
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Citation
Barmi, H. E. and H. Mukerjee (2006). "Restricted Estimation of the Cumulative Incidence Functions Corresponding to Competing Risks." Lecture Notes-Monograph Series 49: Optimality: The Second Erich L. Lehmann Symposium , 241-252.
Abstract
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. [3] 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 > 3. Although the analyses are more challenging, we show that most of the
results in the 2-sample case carry over to this fc-sample case.
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Open access
Publisher
Institute of Mathematical Statistics
Journal
Book Title
Series
Lecture Notes-Monograph Series;v.49
Digital Collection
Javier Rojo, ed., Optimality: The Second Erich L. Lehmann Symposium (Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2006), 241-252.
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0749-2170