文章基本信息

标题：The effect of frailty term in the standard mixture model
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作者：Vinicius F. Calsavara ; Vera L.D. Tomazella ; José C. Fogo 等
期刊名称：Chilean Journal of Statistics
印刷版ISSN：0718-7912
电子版ISSN：0718-7920
出版年度：2013
卷号：4
期号：2
页码：95-109
出版社：Chilean Statistical Society
摘要：In this paper we present the standard mixture model with a frailty term. This model has the advantage in relation the usual survival models, in the sense of incorporate the heterogeneity of two subpopulations (immune and susceptible) to the event of interest. We consider the model with a frailty term as alternative to modelling long-term survival data. In this mo del a random e.ect, also called frailty, is introduced on the baseline hazard function, in order to control the unobservable heterogeneity of the units under study. A simulation study is present to analyze the frequentists properties of estimation procedures. A cost study in the estimation of the cured rate is discussed. We explore the use of the gamlss package in R as a tool for inference in cure rate models. The developed procedures are illustrated on a real data set.
关键词：Frailty model ; GAMLSS ; Long-term survival models ; Survival analysis ; ; Variances ratio