The Asymptotics of Maximum Likelihood and Related Estimators Based on Type II Censored Data
本文为II型删失样本下最大似然估计量的渐近正态性和一致强收敛性提供了简单方法，并推广到修正最大似然估计量，给出了其一致性和极限正态性的条件。
Abstract Some simple procedures are provided for establishing the asymptotic normality and uniform strong convergence of a class of functions that arise in the context of estimating parameters from a Type II censored sample. These lead to an elementary yet rigorous treatment of the asymptotic properties of maximum likelihood estimators based on Type II censored data. Further applications include the treatment of asymptotics of some modified maximum likelihood (MML) estimators. In particular, conditions are provided for the consistency and limiting normality of the MML estimators of Mehrotra and Nanda, and the asymptotic efficiencies of these estimators are evaluated.