We discuss the problem of identification of relevant parameters in a DAG model for Gaussian variables with one unobserved variable that acts as a counfounder. We first make explicit what we intend for identification and then discuss an example where a modified notion of instrumental variable renders a system with a confounder identifiable. Copyright (C) 2004 John Wiley Sons, Ltd.
机构:
Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
Beijing Technol & Business Univ, Sch Math & Stat, Beijing 100048, Peoples R ChinaPeking Univ, Sch Math Sci, Beijing 100871, Peoples R China
Xie, Feng
He, Yangbo
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Peking Univ, Sch Math Sci, Beijing 100871, Peoples R ChinaPeking Univ, Sch Math Sci, Beijing 100871, Peoples R China
He, Yangbo
Geng, Zhi
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Beijing Technol & Business Univ, Sch Math & Stat, Beijing 100048, Peoples R ChinaPeking Univ, Sch Math Sci, Beijing 100871, Peoples R China
Geng, Zhi
Chen, Zhengming
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Guangdong Univ Technol, Sch Comp, Guangzhou 510006, Peoples R ChinaPeking Univ, Sch Math Sci, Beijing 100871, Peoples R China
Chen, Zhengming
Hou, Ru
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Peking Univ, Sch Math Sci, Beijing 100871, Peoples R ChinaPeking Univ, Sch Math Sci, Beijing 100871, Peoples R China
Hou, Ru
Zhang, Kun
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Carnegie Mellon Univ, Dept Philosophy, Pittsburgh, PA 15213 USA
Mohamed Bin Zayed Univ Artificial Intelligence, Machine Learning Dept, Abu Dhabi 7909, U Arab EmiratesPeking Univ, Sch Math Sci, Beijing 100871, Peoples R China
机构:
Univ Minnesota, Sch Stat, 313 Ford Hall,224 Church St SE, Minneapolis, MN 55455 USAUniv Minnesota, Sch Stat, 313 Ford Hall,224 Church St SE, Minneapolis, MN 55455 USA
Yuan, Yiping
Shen, Xiaotong
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Univ Minnesota, Sch Stat, 313 Ford Hall,224 Church St SE, Minneapolis, MN 55455 USAUniv Minnesota, Sch Stat, 313 Ford Hall,224 Church St SE, Minneapolis, MN 55455 USA
Shen, Xiaotong
Pan, Wei
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Univ Minnesota, Div Biostat, 420 Delaware St SE, Minneapolis, MN 55455 USAUniv Minnesota, Sch Stat, 313 Ford Hall,224 Church St SE, Minneapolis, MN 55455 USA
机构:
Univ Michigan, Dept Phys, Ann Arbor, MI 48109 USAUniv Michigan, Dept Phys, Ann Arbor, MI 48109 USA
Karrer, Brian
Newman, M. E. J.
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Univ Michigan, Dept Phys, Ann Arbor, MI 48109 USA
Univ Michigan, Ctr Study Complex Syst, Ann Arbor, MI 48109 USAUniv Michigan, Dept Phys, Ann Arbor, MI 48109 USA