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A parametric cure model with covariates
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Abstract(s)
Cure models were developed to deal with situations where it is plausible to assume that there are non-susceptible (or cured) individuals within the study population.Usually,inacuremodel,theaimistoestimatetheproportionofnonsusceptible individuals, the survival function of the susceptible individuals and the effect of the covariates, if they have been included in the model. Therefore, researchers are interested in knowing if the event will occur (which is called incidence) and when it will occur, given that it can occur (which is called latency). For each covariate there are two parameters: one that describes how the covariateaffects incidence andthe otherthat describes howit affects latency. In this context, the population under study is heterogeneous not only because thereare susceptibleandnon-susceptibleindividualsbut also dueto the different values of their covariates. This chapter follows another one Abreu and Rocha [Um novo modelo de cura param´etrico. In: Castro, L.C., Martins, E.G., Rocha, C., Oliveira, M.F., Leal, M.M., Rosado, F. (eds.) Ciˆencia Estat´ıstica, pp. 151– 162.Edic ¸˜ oesSPE,Lisboa(2006)],whereweproposedacuremodelbasedonthe Chendistribution[Chen,A newtwo-parameterlifetimedistributionwith bathtub shapeorincreasingfailureratefunction.Stat.Probab.Lett.49,155–161(2000)]. The good results obtained with this new model when fitted to real data was a motivationfor includingcovariates into the model.
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Keywords
Parametric cure model Cure model Cure model with covariates . Faculdade de Ciências Exatas e da Engenharia
Citation
Abreu A.M., Rocha C.S. (2013) A parametric cure model with covariates. In Lita da Silva J., Caeiro F., Natário I., Braumann C. (eds) Advances in Regression, Survival Analysis, Extreme Values, Markov Processes and Other Statistical Applications. Studies in Theoretical and Applied Statistics. Springer, Berlin, Heidelberg (37-45)