Confidence bands for multiplicative hazards models: Flexible resampling approaches

TY - JOUR

T1 - Confidence bands for multiplicative hazards models

T2 - Flexible resampling approaches

AU - Dobler, Dennis

AU - Pauly, Markus

AU - Scheike, Thomas H.

PY - 2019/9/1

Y1 - 2019/9/1

N2 - We propose new resampling-based approaches to construct asymptotically valid time-simultaneous confidence bands for cumulative hazard functions in multistate Cox models. In particular, we exemplify the methodology in detail for the simple Cox model with time-dependent covariates, where the data may be subject to independent right-censoring or left-truncation. We use simulations to investigate their finite sample behavior. Finally, the methods are utilized to analyze two empirical examples with survival and competing risks data.

AB - We propose new resampling-based approaches to construct asymptotically valid time-simultaneous confidence bands for cumulative hazard functions in multistate Cox models. In particular, we exemplify the methodology in detail for the simple Cox model with time-dependent covariates, where the data may be subject to independent right-censoring or left-truncation. We use simulations to investigate their finite sample behavior. Finally, the methods are utilized to analyze two empirical examples with survival and competing risks data.

KW - competing risks

KW - counting processes

KW - Cox regression

KW - hazards

KW - Martingale theory

KW - multistate models

KW - survival analysis

U2 - 10.1111/biom.13059

DO - 10.1111/biom.13059

M3 - Journal article

C2 - 30985914

SN - 0006-341X

VL - 75

SP - 906

EP - 916

JO - Biometrics

JF - Biometrics

IS - 3

ER -