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arXiv 1209.0876stat.CO
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有向无环图的有限混合模型拟合及其在教育传播中的应用

Fitting directed acyclic graphs with latent nodes as finite mixtures models, with application to education transmission

Antonio Forcina, Salvatore Modica

摘要:

本文描述了一种有效的期望最大化算法,用于对应于可包含任意数目潜变量的有向无环图模型的非线性结构方程组的极大似然估计。模型中的内生变量必须是分类的,而外生变量可以是任意的。本文所讨论的模型是有限混合模型的一个扩展版本,适用于因果推断。作为一个例子,教育传输问题的应用。

英文摘要:

This paper describes an efficient EM algorithm for maximum likelihood estimation of a system of nonlinear structural equations corresponding to a directed acyclic graph model that can contain an arbitrary number of latent variables. The endogenous variables in the model must be categorical, while the exogenous variables may be arbitrary. The models discussed in this paper are an extended version of finite mixture models suitable for causal inference. An application to the problem of education transmission is presented as an illustration.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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