Robust inference with censored survival data

نویسندگان

چکیده

Randomly censored survival data appear in a wide variety of applications which the time until occurrence certain event is not completely observable. In this paper, we assume that statistician observes possibly along with censoring indicator. setting, study class M-estimators bounded influence function, spirit infinitesimal approach to robustness. We outline main asymptotic properties robust and characterize optimal B-robust estimator according two possible measures sensitivity. Building on these results, define testing procedures are natural counterparts classical Wald, score, likelihood ratio tests. The empirical performance our estimators tests assessed extensive simulation studies. An application from well-known medical head neck cancer also presented.

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ژورنال

عنوان ژورنال: Scandinavian Journal of Statistics

سال: 2022

ISSN: ['0303-6898', '1467-9469']

DOI: https://doi.org/10.1111/sjos.12570