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Bayesian survival model induced by frailty for lifetime with long‐term survivors
Author(s) -
Cancho Vicente G.,
Barriga Gladys D. C.,
Cordeiro Gauss M.,
Ortega Edwin M. M.,
Suzuki Adriano K.
Publication year - 2021
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/stan.12236
Subject(s) - covariate , proportional hazards model , poisson regression , statistics , bayesian probability , poisson distribution , survival analysis , regression , term (time) , mathematics , econometrics , regression analysis , computer science , medicine , population , physics , environmental health , quantum mechanics
It is introduced the proportional hazards frailty model to allow a discrete distribution for the frailty variable. Frailty zero can be interpreted as being immune or cured. It is defined a class of survival models induced by a discrete frailty having a mixed Poisson distribution, which can account for unobserved dispersion. Further, a new regression to evaluate the effects of covariates in the cure fraction is constructed. Several former cure survival models are special cases of the proposed modeling framework. The inferential approach is based on Bayesian methods. Some simulation results are provided to assess the performance of the new regression. Its importance is illustrated by means of an application to colorectal cancer data.