Semiparametric Inference for Nonmonotone Missing-Not-at-Random Data: The No Self-Censoring Model.
Semiparametric Inference for Nonmonotone Missing-Not-at-Random Data: The No Self-Censoring Model.
复制标题
非单身酮丢失 - 非狂热数据的半参数推断:无自审查模型。
DOI:
10.1080/01621459.2020.1862669
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发表时间:
2022
影响因子:
3.7
通讯作者:
Tchetgen, Eric J. Tchetgen
中科院分区:
文献类型:
--
作者:
Malinsky, Daniel;Shpitser, Ilya;Tchetgen, Eric J. Tchetgen
We study the identification and estimation of statistical functionals of multivariate data missing non-monotonically and not-at-random, taking a semiparametric approach. Specifically, we assume that the missingness mechanism satisfies what has been previously called “no self-censoring” or “itemwise conditionally independent nonresponse,” which roughly corresponds to the assumption that no partially-observed variable directly determines its own missingness status. We show that this assumption, combined with an odds ratio parameterization of the joint density, enables identification of functionals of interest, and we establish the semiparametric efficiency bound for the nonparametric model satisfying this assumption. We propose a practical augmented inverse probability weighted estimator, and in the setting with a (possibly high-dimensional) always-observed subset of covariates, our proposed estimator enjoys a certain double-robustness property. We explore the performance of our estimator with simulation experiments and on a previously-studied data set of HIV-positive mothers in Botswana.
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