A Direct Approach to Understanding Posterior Consistency of Bayesian Regression Problems
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Yi, Seongbaek | - |
dc.contributor.author | Choi, Taeryon | - |
dc.date.accessioned | 2021-09-07T21:27:31Z | - |
dc.date.available | 2021-09-07T21:27:31Z | - |
dc.date.created | 2021-06-14 | - |
dc.date.issued | 2011 | - |
dc.identifier.issn | 0361-0926 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/114931 | - |
dc.description.abstract | Previous approaches to establishing posterior consistency of Bayesian regression problems have used general theorems that involve verifying sufficient conditions for posterior consistency. In this article, we consider a direct approach by computing the posterior density explicitly and evaluating its asymptotic behavior. For this purpose, we deal with a sample size dependent prior based on a truncated regression function with increasing sample size, and evaluate the asymptotic properties of the resulting posterior. Based on a concept called posterior density consistency, we attempt to understand posterior consistency. As an application, we illustrate that the posterior density of an orthogonal semiparametric regression model is consistent. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | TAYLOR & FRANCIS INC | - |
dc.subject | NONPARAMETRIC PROBLEMS | - |
dc.subject | LINEAR-MODEL | - |
dc.subject | DISTRIBUTIONS | - |
dc.subject | CONVERGENCE | - |
dc.subject | RATES | - |
dc.title | A Direct Approach to Understanding Posterior Consistency of Bayesian Regression Problems | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Choi, Taeryon | - |
dc.identifier.doi | 10.1080/03610926.2010.498646 | - |
dc.identifier.scopusid | 2-s2.0-79960452420 | - |
dc.identifier.wosid | 000294890500009 | - |
dc.identifier.bibliographicCitation | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, v.40, no.18, pp.3315 - 3326 | - |
dc.relation.isPartOf | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | - |
dc.citation.title | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | - |
dc.citation.volume | 40 | - |
dc.citation.number | 18 | - |
dc.citation.startPage | 3315 | - |
dc.citation.endPage | 3326 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Statistics & Probability | - |
dc.subject.keywordPlus | NONPARAMETRIC PROBLEMS | - |
dc.subject.keywordPlus | LINEAR-MODEL | - |
dc.subject.keywordPlus | DISTRIBUTIONS | - |
dc.subject.keywordPlus | CONVERGENCE | - |
dc.subject.keywordPlus | RATES | - |
dc.subject.keywordAuthor | Nonparametric regression | - |
dc.subject.keywordAuthor | Orthogonality | - |
dc.subject.keywordAuthor | Posterior density consistency | - |
dc.subject.keywordAuthor | Quadratic form | - |
dc.subject.keywordAuthor | Sample size dependent prior | - |
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