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https://tel.archives-ouvertes.fr/tel-00005524

has been cited by the following article:

• TITLE: Asymptotic Normality of the Nelson-Aalen and the Kaplan-Meier Estimators in Competing Risks

  AUTHORS: Didier Alain Njamen Njomen

  KEYWORDS: Censored Data, Right-Censoring, Counting Process, Competing Risks, Nelson-Aalen and Kaplan-Meier Estimators, Asymptotic Properties of Estimators, Confidence Bands

  JOURNAL NAME: Applied Mathematics, Vol.10 No.7, July 22, 2019

  ABSTRACT: This paper studies the asymptotic normality of the Nelson-Aalen and the Kaplan-Meier estimators in a competing risks context in presence of independent right-censorship. To prove our results, we use Robelledo’s theorem which makes it possible to apply the central limit theorem to certain types of particular martingales. From the results obtained, confidence bounds for the hazard and the survival functions are provided.