The XGTDL family of survival distributions

Bucknall

doi:10.1007/s42081-021-00129-9

The XGTDL family of survival distributions

Bucknall

Authors

Milica Bucknall m.bucknall@keele.ac.uk

Abstract

<jats:title>Abstract</jats:title><jats:p>Non-PH parametric survival modelling is developed within the framework of the multiple logistic function. The family considered comprises three basic models: (a) a PH model, (b) an accelerated life model and (c) a model which is non-proportional hazards and non-accelerated life. The last model, the generalised time-dependent logistic model was described first by the author in 1996 and this model gives its name to the entire family. The family is generalised by means of a Gamma frailty extension which is shown to accommodate crossing hazards data. A further generalisation is the inclusion of a dispersion model. These extensions lead naturally to the concept of a multi-parameter regression model described by Burke and MacKenzie in which the scale and shape parameters are modelled simultaneously as functions of covariates. Where possible, we include the MPR extension in the XGTDL family. Following a simulation study, the new models are used to analyse two sets survival data and the methods are discussed.</jats:p>

Acceptance Date	May 29, 2021
Publication Date	Jun 26, 2021
Journal	Japanese Journal of Statistics and Data Science
Print ISSN	2520-8756
Publisher	Springer
DOI	https://doi.org/10.1007/s42081-021-00129-9
Publisher URL	https://link.springer.com/article/10.1007%2Fs42081-021-00129-9