Cause-specific quantile residual life regression.

We propose a cause-specific quantile residual life regression where the cause-specific quantile residual life, defined as the inverse of the cumulative incidence function of the residual life distribution of a specific type of events of interest conditional on a fixed time point, is log-linear in ob...

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Bibliographic Details
Published in:Statistical Methods in Medical Research Vol. 26; no. 4; pp. 1912 - 1925
Main Authors: Lim, Jeong Youn, Jeong, Jong-Hyeon
Format: equations & formulas research tables/charts Journal Article
Published: Sage Publications Inc. Aug2017
Online Access:View this record in EBSCOhost
Description
Summary:We propose a cause-specific quantile residual life regression where the cause-specific quantile residual life, defined as the inverse of the cumulative incidence function of the residual life distribution of a specific type of events of interest conditional on a fixed time point, is log-linear in observable covariates. The proposed test statistic for the effects of prognostic factors does not involve estimation of the improper probability density function of the cause-specific residual life distribution under competing risks. The asymptotic distribution of the test statistic is derived. Simulation studies are performed to assess the finite sample properties of the proposed estimating equation and the test statistic. The proposed method is illustrated with a real dataset from a clinical trial on breast cancer.