Smooth hazards with multiple time scales

Fuente: arXiv
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Auteurs principaux: Carollo, Angela, Eilers, Paul H. C., Putter, Hein, Gampe, Jutta
Format: Preprint
Publié: 2023
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author Carollo, Angela
Eilers, Paul H. C.
Putter, Hein
Gampe, Jutta
author_facet Carollo, Angela
Eilers, Paul H. C.
Putter, Hein
Gampe, Jutta
contents Hazard models are the most commonly used tool to analyse time-to-event data. If more than one time scale is relevant for the event under study, models are required that can incorporate the dependence of a hazard along two (or more) time scales. Such models should be flexible to capture the joint influence of several times scales and nonparametric smoothing techniques are obvious candidates. P-splines offer a flexible way to specify such hazard surfaces, and estimation is achieved by maximizing a penalized Poisson likelihood. Standard observations schemes, such as right-censoring and left-truncation, can be accommodated in a straightforward manner. The model can be extended to proportional hazards regression with a baseline hazard varying over two scales. Generalized linear array model (GLAM) algorithms allow efficient computations, which are implemented in a companion R-package.
format Preprint
id arxiv_https___arxiv_org_abs_2305_09342
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Smooth hazards with multiple time scales
Carollo, Angela
Eilers, Paul H. C.
Putter, Hein
Gampe, Jutta
Methodology
Applications
Hazard models are the most commonly used tool to analyse time-to-event data. If more than one time scale is relevant for the event under study, models are required that can incorporate the dependence of a hazard along two (or more) time scales. Such models should be flexible to capture the joint influence of several times scales and nonparametric smoothing techniques are obvious candidates. P-splines offer a flexible way to specify such hazard surfaces, and estimation is achieved by maximizing a penalized Poisson likelihood. Standard observations schemes, such as right-censoring and left-truncation, can be accommodated in a straightforward manner. The model can be extended to proportional hazards regression with a baseline hazard varying over two scales. Generalized linear array model (GLAM) algorithms allow efficient computations, which are implemented in a companion R-package.
title Smooth hazards with multiple time scales
topic Methodology
Applications
url https://arxiv.org/abs/2305.09342