Abstract
In this paper, the considered problem consists in estimation of the conditional survival function by right random censoring model in the presence of covariate. We propose a new estimator of the conditional survival function which is extension of relative-risk power estimator of independent censoring and study its large sample properties. We present a result of asymptotic normality with the same limiting Gaussian process as for copula-graphic estimator.
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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 68, No. 1, Science — Technology — Education — Mathematics — Medicine, 2022.
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Abdushukurov, A.A. Extention of Relative-Risk Power Estimator Under Dependent Random Censored Data. J Math Sci 278, 557–569 (2024). https://doi.org/10.1007/s10958-024-06939-y
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DOI: https://doi.org/10.1007/s10958-024-06939-y