TITLE:
Nelson-Aalen and Kaplan-Meier Estimators in Competing Risks
AUTHORS:
Didier Alain Njamen-Njomen, Joseph Ngatchou-Wandji
KEYWORDS:
Censored Data; Counting Process; Competitive Risk; Non-Parametric Estimators; The Cumulative Incidence Function; Risk Function Specific Cause; Conditional Distribution Function
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.4,
March
18,
2014
ABSTRACT: 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.