标题： 部分观测分层回归模型中右删失数据的最大似然估计 显示英文标题

标题： Maximum likelihood estimation in a partially observed stratified regression model with censored data

摘要： 分层比例强度模型通过允许研究人群的不同组具有不同的基线强度函数，推广了Cox的比例强度模型。 在本文中，我们考虑当表示层的变量在所研究样本中的某些个体上未被观察到时，该模型中的估计问题。 在此情况下，我们构建分层模型参数的非参数最大似然估计量，并建立它们的一致性和渐近正态性。 还获得了极限方差的一致估计量。 显示英文摘要

摘要： The stratified proportional intensity model generalizes Cox's proportional intensity model by allowing different groups of the population under study to have distinct baseline intensity functions. In this article, we consider the problem of estimation in this model when the variable indicating the stratum is unobserved for some individuals in the studied sample. In this setting, we construct nonparametric maximum likelihood estimators for the parameters of the stratified model and we establish their consistency and asymptotic normality. Consistent estimators for the limiting variances are also obtained.