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On estimation and diagnostics analysis in log-generalized gamma regression model for interval-censored data

机译:对数广义伽马回归模型中区间删失数据的估计和诊断分析

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The interval-censored survival data appear very frequently, where the event of interest is not observed exactly but it is only known to occur within some time interval. In this paper, we propose a location-scale regression model based on the log-generalized gamma distribution for modelling interval-censored data. We shall be concerned only with parametric forms. The proposed model for interval-censored data represents a parametric family of models that has, as special submodels, other regression models which are broadly used in lifetime data analysis. Assuming interval-censored data, we consider a frequentist analysis, a Jackknife estimator and a non-parametric bootstrap for the model parameters. We derive the appropriate matrices for assessing local influence on the parameter estimates under different perturbation schemes and present some techniques to perform global influence.
机译:间隔检查的生存数据非常频繁地出现,其中未准确观察到感兴趣的事件,但仅在某个时间间隔内发生。在本文中,我们提出了一种基于对数广义伽马分布的位置尺度回归模型,用于对区间删节数据进行建模。我们将只关注参数形式。提出的间隔检查数据模型代表一个参数系列模型,该模型系列具有作为特殊子模型的其他回归模型,这些模型在生命周期数据分析中广泛使用。假设采用间隔检查的数据,我们考虑对模型参数进行频繁分析,Jackknife估计量和非参数自举。我们推导了适当的矩阵来评估在不同的扰动方案下对参数估计的局部影响,并提出了一些执行全局影响的技术。

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