Cure Rate Models Considering The Burr XII Distribution in Presence of Covariate

DOI

10.2991/jsta.2017.16.2.2How to use a DOI?

Keywords

Cure rate mixture model; Cure rate non-mixture model; Burr XII distribution.

Abstract

This paper presents estimates for the parameters included in long-term mixture and non-mixture lifetime models, applied to analyze survival data when some individuals may never experience the event of interest. We consider the case where the lifetime data have a three-parameter Burr XII distribution, which includes the popularWeibull mixture model as a special case. Classical and Bayesian procedures are used to get point estimates and confidence intervals for the unknown parameters. We consider a general survival model where the scale and shape parameters of the Burr XII distribution are dependent of some covariates. To illustrate the proposed methodology, we consider an application considering a leukaemia data set where the proposed model gives better fit for the data when compared to other existing models.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Emílio A. Coelho-Barros
AU  - Jorge Alberto Achcar
AU  - Josmar Mazucheli
PY  - 2017
DA  - 2017/06/01
TI  - Cure Rate Models Considering The Burr XII Distribution in Presence of Covariate
JO  - Journal of Statistical Theory and Applications
SP  - 150
EP  - 164
VL  - 16
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2017.16.2.2
DO  - 10.2991/jsta.2017.16.2.2
ID  - Coelho-Barros2017
ER  -