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Estimating Covariances and Goodness of Fit Plots for Accelerated Failure Time Models

Year: 2025

Type: article

Abstract: Let the response variable Y be the time until an event such as death. Assume that there are p predictors x1,…,xp and that the response variable is right censored. Several survival regression models, including accelerated failure time models, have the form Z=log(Y)=αZ+xiTβZ+e. This paper gives a simple method for estimating the covariances Cov(xi,Z) for some of these models. Plots are given for checking the goodness of fit of accelerated failure time models. Plots for checking the proportional hazards regression model are often harder to use.

Source: Axioms

DOI: 10.3390/axioms15010015

Authors: David J. Olive, Sanjuka Johana Lemonge

Institutions: Southern Illinois University Carbondale, Black Hills State University

Language: English

Topic: Statistical Methods and Inference

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

OpenAlex ID: W7117318023

FWCI:

Cites: 27

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