Maximum likelihood estimation from incomplete data

Maximum likelihood estimation from incomplete data
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DOI:
10.1080/02664768700000003
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发表时间:
1987
影响因子:
1.5
通讯作者:
R. Okafor
R. Okafor
中科院分区:
数学4区
文献类型:
--
作者:
R. Okafor

文献摘要

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相似文献

Y是对变量X的线性回归;X是固定的,它的所有样本值都被观察到。另一方面,Y缺少一些样本值。这项工作概述了一个最大似然(ml)程序,试图调整由于非随机缺失造成的偏差;这里的非随机性是由逻辑分布指定的。机器学习过程通过两种迭代技术实现,即EM算法(Dempster, Laird & Rubin, 1977)和Newton-Raphson方法。来自透析研究的数据被用来说明我们的估计程序,结果表明ml程序在调整偏差方面是相当有效的。
SUMMARY Y is a linear regression on a variable X; X is fixed and all its sample values are observed. Y, on the other hand, has some sample values missing. This work outlines a maximum likelihood (ml) procedure that tries to adjust for bias due to non-random missingness; here non-randomness is specified by a logistic distribution. The ml procedure is implemented via two iterative technologies, namely the EM algorithm (of Dempster, Laird & Rubin, 1977) and the Newton-Raphson method. Data from a dialysis study are used to illustrate our estimation procedure, and results show that the ml procedure is quite effective in adjusting for bias.