Approximate Bayesian approaches and semiparametric methods for handling missing data

dc.contributor.advisor Jae Kwang Kim Sang, Hejian
dc.contributor.department Statistics 2019-01-15T09:19:28.000 2020-06-30T03:13:20Z 2020-06-30T03:13:20Z Sun Apr 01 00:00:00 UTC 2018 2018-10-28 2018-01-01
dc.description.abstract <p>This thesis consists of four research papers focusing on estimation and inference in missing data. In the first paper (Chapter 2), an approximate Bayesian approach is developed to handle unit nonresponse with parametric model assumptions on the response probability, but without model assumptions for the outcome variable. The proposed Bayesian method is also extended to incorporate the auxiliary information from full sample. In second paper (Chapter 3), a new Bayesian method using the Spike-and-Slab prior is proposed to handle the sparse propensity score estimation. The proposed method is not based on any model assumption on the outcome variable and is computationally efficient. In third paper (Chapter 4), we develop a robust semiparametric method based on the profile likelihood obtained from semiparametric response model. The proposed method uses the observed regression model and the semiparametric response model to achieve robustness. An efficient algorithm using fractional imputation is developed. The bootstrap testing procedure is also proposed to test ignorability assumption. In last paper (Chapter 5), we propose a novel semiparametric fractional imputation method using Gaussian mixture model for handling multivariate missingness. The proposed method is computationally efficient and leads to robust estimation. The proposed method is further extended to incorporate the categorical auxiliary information. Asymptotic properties are developed for each proposed methods. Both simulation studies and real data applications are conducted to check the performance of the proposed methods in this thesis.</p>
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dc.identifier archive/
dc.identifier.articleid 7755
dc.identifier.contextkey 13578560
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath etd/16748
dc.language.iso en
dc.source.bitstream archive/|||Fri Jan 14 21:05:24 UTC 2022
dc.subject.disciplines Statistics and Probability
dc.subject.keywords Bayesian approximation computing
dc.subject.keywords Gaussian Mixture Models
dc.subject.keywords Profile likelihood
dc.subject.keywords Sparse model
dc.title Approximate Bayesian approaches and semiparametric methods for handling missing data
dc.type article
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication 264904d9-9e66-4169-8e11-034e537ddbca Statistics dissertation Doctor of Philosophy
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