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020 ▼a 9781085664837
035 ▼a (MiAaPQ)AAI27536583
035 ▼a (MiAaPQ)umichrackham002235
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 310
1001 ▼a Wang, Jingshen.
24510 ▼a Debiased Post Selection Inference.
260 ▼a [S.l.]: ▼b University of Michigan., ▼c 2019.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2019.
300 ▼a 102 p.
500 ▼a Source: Dissertations Abstracts International, Volume: 81-02, Section: B.
500 ▼a Advisor: He, Xuming.
5021 ▼a Thesis (Ph.D.)--University of Michigan, 2019.
506 ▼a This item must not be sold to any third party vendors.
506 ▼a This item must not be added to any third party search indexes.
520 ▼a This dissertation concerns the post-selection bias issue in statistical inference on treatment effects when a large number of covariates are present in a linear or partially linear model. While the estimation bias in an under-fitted model is well understood, we address a lesser known bias that arises from an over-fitted model. We show that the over-fitting bias can be reduced or eliminated through data splitting, and more importantly, smoothing over random data splits or bootstrap-induced splits can be pursued to mitigate the efficiency loss. We also discuss some of the existing methods for debiased inference and provide insights into their intrinsic bias-variance trade-off, which leads to an improvement in bias controls. Based on these insights, we thoroughly study the connections between our current framework and the estimates of the average treatment effects under the Neyman-Rubin causal model. A careful analysis shows that the post-selection bias issue can exist in a wider range of treatment effect estimation procedures. Under appropriate conditions we show that our proposed estimators for the treatment effects are asymptotically normal and their variances can be well estimated. We discuss the pros and cons of various methods both theoretically and empirically, and show that the proposed methods are valuable options in post-selection inference.
590 ▼a School code: 0127.
650 4 ▼a Statistics.
690 ▼a 0463
71020 ▼a University of Michigan. ▼b Statistics.
7730 ▼t Dissertations Abstracts International ▼g 81-02B.
773 ▼t Dissertation Abstract International
790 ▼a 0127
791 ▼a Ph.D.
792 ▼a 2019
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T15494294 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 202002 ▼f 2020
990 ▼a ***1008102
991 ▼a E-BOOK