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截断与删失数据的极大似然估计的中偏差
引用本文:肖枝洪,朱强. 截断与删失数据的极大似然估计的中偏差[J]. 数学杂志, 2009, 29(3)
作者姓名:肖枝洪  朱强
作者单位:华中农业大学理学院,湖北武汉,430070
基金项目:国家自然科学基金,Huazhong Agricultural University Doctoral Fund 
摘    要:本文研究了截断与删失模型,运用Taylor渐近展开方法,得到模型的极大似然估计的中偏差,比渐近正态性结果更加精细.

关 键 词:极大似然估计  中偏差  左截断右删失

MODERATE DEVIATION OF MAXIMUM LIKELIHOOD ESTIMATORS FOR TRUNCATED AND CENSORED DATA
XIAO Zhi-hong,ZHU Qiang. MODERATE DEVIATION OF MAXIMUM LIKELIHOOD ESTIMATORS FOR TRUNCATED AND CENSORED DATA[J]. Journal of Mathematics, 2009, 29(3)
Authors:XIAO Zhi-hong  ZHU Qiang
Abstract:In this paper, we study a kind of truncated and censored data. It is shown that the maximum likelihood estimator of unknown parameter θ obeys the moderate deviation under certain regular conditions by Taylor asymptotic expansion. We obtain their accurate expression of rate function.
Keywords:maximum likelihood estimator  moderate deviations  truncated and censored data
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