Abstract
In this work, we consider a model of competing risks randomly censored on the right. We study the conditional distribution of the time-to-event given a cause-specific subgroup. Some asymptotic properties including weak convergence of nonparametric estimator and confidence bands are established for a conditional cumulative hazard function given a cause-specific.
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References
Aalen OO, Borgan O, Gill RD, Gjessing HK (2008) Survival and event history analysis. Springer, New York
Andersen PK, Borgan O, Gill RD, Keiding N (1993) Statistical models based on counting processes. Springer, New York
Bandyopadhyay D, Pumar AJ (2000) Nonparametric estimation of conditional cumulative hazards for missing population marks. Aust NZJ Stat 52(1):75–91
Bordes L, Gneyou K (2011) Nonparametric regression in competing risks model with right censoring. Statist Probab Lett 81:1654–1663
Datta S, Satten GA (2000) Estimating future stage entry and occupation probabilities in a multi-stage model based on randomly right censored data. Statist Probab Lett 50:89–95
Kaplan EK, Meier P (1958) Nonparametric estimation from incomplete observations. J Am Statist Assoc 53:457–481
Kosorok MR (2008) Introduction to empirical processes and semi-parametric inference. Springer, New York
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Gneyou, K.E. (2020). Asymptotic Properties of Nonparametric Conditional Distribution Estimators in the Model of Competing Risks. In: Adjallah, K., Birregah, B., Abanda, H. (eds) Data-Driven Modeling for Sustainable Engineering. ICEASSM 2017. Lecture Notes in Networks and Systems, vol 72. Springer, Cham. https://doi.org/10.1007/978-3-030-13697-0_3
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DOI: https://doi.org/10.1007/978-3-030-13697-0_3
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