The Open Mathematics, Statistics and Probability Journal

2018, 09 : 1-17
Published online 2018 April 30. DOI: 10.2174/1876527001809010001
Publisher ID: TOSPJ-9-1

RESEARCH ARTICLE
Consistency of the Kaplan-Meier Estimator of the Survival Function in Competiting Risks

Didier Alain Njamen Njomen1, * and Joseph Wandji Ngatchou2
1 Department of Mathematics and Computer Sciences, Faculty of Science, University of Maroua, Maroua, Cameroon
2 Institut Elie Cartan de Lorraine, University of Lorraine, Nancy, France

* Address correspondence to this author at the Department of Mathematics and Computer Sciences, Faculty of Science, University of Maroua, Maroua, Cameroon; Tel: +237 675 27 65 20; E-mails: / didiernjamen1@gmail.com

ABSTRACT

Keywords:

Censored data, Counting process, Survival function, Competiting risks, Kaplan-Meier estimators, Bias of an estimator, Uniform consistency.