Title Quantile regression with censored data using generalized L1minimization
Authors Anna Lindgren
Alternative Location http://dx.doi.org/10.1016/S..., Restricted Access
Publication Computational Statistics & Data Analysis
Year 1997
Volume 23
Issue 4
Pages 509 - 524
Document type Article
Status Published
Quality controlled Yes
Language eng
Publisher Elsevier
Abstract English We propose a way to estimate a parametric quantile function when the dependent variable, e.g. the survival time, is censored. We discuss one way to do this, transforming the problem of finding the p-quantile for the true, uncensored, survival times into a problem of finding the q-quantile for the observed, censored, times. The q-value involves the distribution of the censoring times, which is unknown. The estimation of the quantile function is done using the asymmetric L1 technique with weights involving local Kaplan-Meier estimates of the distribution of the censoring limit.
Keywords Quantile regression, L1 minimization, Right censoring, Kaplan-Meier estimator,
ISBN/ISSN/Other ISSN: 1872-7352 (online)

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