生存分析中乘积限估计的大样本性质

生存分析中，人们关心的问题之一是利用不完全的寿命调查数据估计生物折寿命分布。在实际问题中，比较常见的不完全数据包括右删失数据，左截断数据和左截断右删失数据。利用这三种数据估计寿命分布时，常用的统计量是乘积限估计。于是，乘积限估计的大样本性质的研究一直受到关注。本文就这方面的研究近况做一比较系统的论述。

The Large Sample Properties of the Product-Limit Estimator in Survival Analysis

In the field of survival analysis, different sampling constrains in collecting lifetimedata often result in incomplete data, such as right censored, left truncated and left truncatedright censored data. Based on these incomplete observations, one of the interesting and theportant problem is to estimate the true lifetime distribution and a celebrated estimator is theproduct-limit estimator. Due to its importance, the large sample properties of the product-limitestimator have drawn considerable attention from many authors. This article discusses the recentdevelopments in this field.