On estimation of covariate-specific residual time quantiles under the proportional hazards model

Luis Alexander Crouch (), Susanne May and Ying Qing Chen
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Luis Alexander Crouch: University of Washington
Susanne May: University of Washington
Ying Qing Chen: Fred Hutchinson Cancer Research Center

Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, 2016, vol. 22, issue 2, No 7, 299-319

Abstract: Abstract Estimation and inference in time-to-event analysis typically focus on hazard functions and their ratios under the Cox proportional hazards model. These hazard functions, while popular in the statistical literature, are not always easily or intuitively communicated in clinical practice, such as in the settings of patient counseling or resource planning. Expressing and comparing quantiles of event times may allow for easier understanding. In this article we focus on residual time, i.e., the remaining time-to-event at an arbitrary time t given that the event has yet to occur by t. In particular, we develop estimation and inference procedures for covariate-specific quantiles of the residual time under the Cox model. Our methods and theory are assessed by simulations, and demonstrated in analysis of two real data sets.

Keywords: Censoring; Hazard function; Time-to-event (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10985-015-9332-1

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