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PATTERN GRAPHS: A GRAPHICAL APPROACH TO NONMONOTONE MISSING DATA

delete2022-02-01
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Yen‐Chi Chen *
DOI:10.1214/21-AOS2094delete
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摘要

摘要

En 中文
We introduce the concept of pattern graphs-directed acyclic graphs representing how response patterns are associated. A pattern graph represents an identifying restriction that is nonparametrically identified/saturated and is often a missing not at random restriction. We introduce a selection model and a pattern mixture model formulations using the pattern graphs and show that they are equivalent. A pattern graph leads to an inverse probability weighting estimator as well as an imputation-based estimator. We also study the semiparametric efficiency theory and derive a multiply-robust estimator using pattern graphs.
Keyword:
Missing data
nonignorable missingness
nomonotone missing
inverse probability weighting
pattern graphs
selection models

期刊

Annals of Statistics 封面图
Annals of Statistics
IF:
3.7
论文数:
2.8K
被引数:
2.9W

机构

U
University of Washington
学者数:
8.0W
论文数: 7.0W
被引数: 12.5W
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