Maximum likelihood estimation of life-span based on censored and passively registered historical data

作     者：Jonker, MA 

作者机构：LUMC Dept Med Stat NL-2300 RC Leiden Netherlands 

出 版 物：《LIFETIME DATA ANALYSIS》 (寿命数据分析)

年 卷 期：2003年第9卷第1期

页      面：35-56页

核心收录：

学科分类：0202[经济学-应用经济学] 02[经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 0701[理学-数学] 

主　　题：survival analysis historical data right censoring maximum likelihood estimation consistency numerical algorithms 

摘      要：We consider the estimation of life length of people who were born in the seventeenth or eighteenth century in England. The data consist of a sequence of times of life events that is either ended by a time of death or is right-censored by an unobserved time of migration. We propose a semi parametric model for the data and use a maximum likelihood method to estimate the unknown parameters in this model. We prove the consistency of the maximum likelihood estimators and describe an algorithm to obtain the estimates numerically. We have applied the algorithm to data and the estimates found are presented.