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# Survival Analysis with Competing Risks and Semi-competing Risks Data

Authored by: Ruosha Li , Limin Peng

# Handbook of Quantile Regression

Print publication date:  October  2017
Online publication date:  October  2017

Print ISBN: 9781498725286
eBook ISBN: 9781315120256

10.1201/9781315120256-8

#### Abstract

Competing risks data arise when study subjects are subject to multiple types of failure events. The competing risks events are terminating, in that the onset of one event precludes the observation of other events. Moreover, the event times are correlated, imposing dependent censoring on each other. Denote the latent failure times to different events by T 1 , T 2 , … , T k $T_1, T_2, \ldots ,T_k$ , where k ≥ 2 $k \ge 2$ denotes the number of failure types. One can only observe the time to the first failure T = min ( T 1 , T 2 , … , T k ) $T=\min (T_1,T_2,\ldots ,T_k)$ and the type of the first failure ? $\varepsilon$ , where ? ∈ { 1 , 2 , … , k } $\varepsilon \in \{1,2,\ldots ,k\}$ .

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