不完全数据情形下指数分布参数的极大似然估计

Maximum Likelihood Parameter Estimation of Exponential Distribution Based on Incomplete Sample

处理生存分析观测数据使用的参数估计方法有很多,极大似然估计法是最常见的一种估计方法。当寿命分布为指数分布时,给出了定时截尾数据、定数截尾数据情形的极大似然估计,以及随机右删失下参数极大似然估计的一般表达式。此外,还提出了分组数据场合参数极大似然估计的图解求法。

There are many methods to deal with measuring data in survival analysis. Maximum likelihood estimation is the most popular one. Under exponential distribution,maximum likelihood estimators of the parameter for Type-I censored data and Type-II censored data are obtained,and a general expression of maximum likelihood estimator for right randomly censoring data is also derived. Moreover,a graphical method is developed to solve maximum likelihood estimation of paremeter for Packet censored data.