Nelson-Aalen and Kaplan-Meier Estimators in Competing Risks — Oak Academic Publishing
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Nelson-Aalen and Kaplan-Meier Estimators in Competing Risks
Department of Mathematics and Computer Sciences, Faculty of Sciences, University of Maroua, Maroua, Cameroon;Department of Mathematics, Faculty of Sciences, University of Yaounde 1, Yaounde, Cameroon ;
,
University of Lorraine, Lorraine, France
1 Department of Mathematics and Computer Sciences, Faculty of Sciences, University of Maroua, Maroua, Cameroon;Department of Mathematics, Faculty of Sciences, University of Yaounde 1, Yaounde, Cameroon ;
In this paper, stochastic processes developed by Aalen [1] [2] are adapted to the Nelson-Aalen and Kaplan-Meier [3] estimators in a context of competing risks. We focus only on the probability distributions of complete downtime individuals whose causes are known and which bring us to consider a partition of individuals into sub-groups for each cause. We then study the asymptotic properties of nonparametric estimators obtained.
KeywordsCensored DataCounting ProcessCompetitive RiskNon-Parametric EstimatorsThe Cumulative Incidence FunctionRisk Function Specific CauseConditional Distribution Function
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