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缺失数据下含几何分布的对数线性模型的EM算法

王继霞 刘次华

应用数学2009,Vol.22Issue(2):297-302,6.
应用数学2009,Vol.22Issue(2):297-302,6.

缺失数据下含几何分布的对数线性模型的EM算法

The EM Algorithm in Logistic Linear Models with Geometric Distribution Involving Missing Data

王继霞 1刘次华2

作者信息

  • 1. 河南师范大学数学与信息科学学院,河南,新乡,453007
  • 2. 华中科技大学数学与统计学院,湖北,武汉,430074
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摘要

Abstract

In this paper,a geometric response and normal covariace model for the missing data are assumed.We fit the model using the Monte Carlo EM(Expectation and Maximization) algorithm.The E-step is derived by Metropolis-Hastings algorithm to generate a sample for missing data,and the M-Step is done by Newton-Raphson to maximize the likelihood function.Asymptotic variances and the standard errors of the MLE of parameters are derived using the observed Fisher information.

关键词

条件期望/极大似然估计/EM算法/Metropolis-Hastings算法/Newton-Raphson迭代

Key words

Conditional expectation/Maximum likelihood estimation/EM algorithm/Metropolis-Hastings algorithm/Newton-Raphson iteration

分类

数理科学

引用本文复制引用

王继霞,刘次华..缺失数据下含几何分布的对数线性模型的EM算法[J].应用数学,2009,22(2):297-302,6.

基金项目

Supported by the National Science Foundation of China(10671057) (10671057)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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