Nonparametric quantile regression for twice censored data
Copyright policy )Nonparametric quantile regression for twice censored data
We consider the problem of nonparametric quantile regression for twice censored data. Two new estimates are presented, which are constructed by applying concepts of monotone rearrangements to estimates of the conditional distribution function. The proposed methods avoid the problem of crossing quantile curves. Weak uniform consistency and weak convergence is established for both estimates and their finite sample properties are investigated by means of a simulation study. As a by-product, we obtain a new result regarding the weak convergence of the Beran estimator for right censored data on the maximal possible domain, which is of its own interest.
46 pages, 24 figures
FOS: Computer and information sciences, Beran estimator, info:eu-repo/classification/ddc/330, monotone rearrangements, quantile regression, 330, Censored data models, Computational problems in statistics, 310, survival analysis, 620, Methodology (stat.ME), crossing quantile curves, Asymptotic properties of nonparametric inference, censored data, Nonparametric regression and quantile regression, info:eu-repo/classification/ddc/310, info:eu-repo/classification/ddc/620, Statistics - Methodology
FOS: Computer and information sciences, Beran estimator, info:eu-repo/classification/ddc/330, monotone rearrangements, quantile regression, 330, Censored data models, Computational problems in statistics, 310, survival analysis, 620, Methodology (stat.ME), crossing quantile curves, Asymptotic properties of nonparametric inference, censored data, Nonparametric regression and quantile regression, info:eu-repo/classification/ddc/310, info:eu-repo/classification/ddc/620, Statistics - Methodology
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