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Essays in Bayesian Econometrics
Essays in Bayesian Econometrics
Essays in Bayesian Econometrics

상세정보

자료유형  
 학위논문 서양
최종처리일시  
20260202103509
ISBN  
9798280717442
DDC  
310
저자명  
Walker, Christopher Douglas.
서명/저자  
Essays in Bayesian Econometrics
발행사항  
[Sl] : Harvard University, 2025
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2025
형태사항  
315 p
주기사항  
Source: Dissertations Abstracts International, Volume: 86-12, Section: B.
주기사항  
Advisor: Tamer, Elie.
학위논문주기  
Thesis (Ph.D.)--Harvard University, 2025.
초록/해제  
요약This thesis comprises three chapters in Bayesian econometrics. Although the chapters are independent, the unifying theme is that Bayesian inference is semiparametric. That is, the econometric model is either 1. indexed by finite- and infinite-dimensional parameters, or 2. interest is a finite-dimensional transformation of an infinite-dimensional parameter. All chapters are solo-authored.Chapter 1 proposes Bayesian inference for conditional moment equality models. The framework starts with a prior for a conditional distribution and reports a marginal posterior for an estimand that minimizes the distance of the conditional moments to zero. The key theoretical result is a Bernstein-von Mises theorem, establishing asymptotic normality of the minimum distance posterior. Chapter 2 presents a new approach to Bernstein-von Mises theory for partially linear regression models. The idea is to embed an adaptive parametrization of the regression function within a (quasi-)likelihood model, enabling verification of the Bernstein-von Mises theorem using ordinary expansions of the log-likelihood function. The new parametrization alleviates some smoothness restrictions that are encountered in the original parametrization of the model.Chapter 3 introduces a Bayesian inference framework for a linear index threshold-crossing binary choice model subject to a median independence restriction. The proposal exploits an observational equivalence between the model and a probit model with nonparametric heteroskedasticity. This leads to a computationally attractive Bayesian inference procedure in which a Gaussian process forms a conditionally conjugate prior for the natural logarithm of the skedastic function.
일반주제명  
Statistics
키워드  
Bayesian econometrics
키워드  
Asymptotic normality
키워드  
Log-likelihood function
키워드  
Binary choice model
기타저자  
Harvard University Economics
기본자료저록  
Dissertations Abstracts International. 86-12B.
전자적 위치 및 접속  
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■1001  ▼aWalker,  Christopher  Douglas.▼0(orcid)0009-0005-5056-0019
■24510▼aEssays  in  Bayesian  Econometrics
■260    ▼a[Sl]▼bHarvard  University▼c2025
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2025
■300    ▼a315  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  86-12,  Section:  B.
■500    ▼aAdvisor:  Tamer,  Elie.
■5021  ▼aThesis  (Ph.D.)--Harvard  University,  2025.
■520    ▼aThis  thesis  comprises  three  chapters  in  Bayesian  econometrics.  Although  the  chapters  are  independent,  the  unifying  theme  is  that  Bayesian  inference  is  semiparametric.  That  is,  the  econometric  model  is  either  1.  indexed  by  finite-  and  infinite-dimensional  parameters,  or  2.  interest  is  a  finite-dimensional  transformation  of  an  infinite-dimensional  parameter.  All  chapters  are  solo-authored.Chapter  1  proposes  Bayesian  inference  for  conditional  moment  equality  models.  The  framework  starts  with  a  prior  for  a  conditional  distribution  and  reports  a  marginal  posterior  for  an  estimand  that  minimizes  the  distance  of  the  conditional  moments  to  zero.  The  key  theoretical  result  is  a  Bernstein-von  Mises  theorem,  establishing  asymptotic  normality  of  the  minimum  distance  posterior. Chapter  2  presents  a  new  approach  to  Bernstein-von  Mises  theory  for  partially  linear  regression  models.  The  idea  is  to  embed  an  adaptive  parametrization  of  the  regression  function  within  a  (quasi-)likelihood  model,  enabling  verification  of  the  Bernstein-von  Mises  theorem  using  ordinary  expansions  of  the  log-likelihood  function.  The  new  parametrization  alleviates  some  smoothness  restrictions  that  are  encountered  in  the  original  parametrization  of  the  model.Chapter  3  introduces  a  Bayesian  inference  framework  for  a  linear  index  threshold-crossing  binary  choice  model  subject  to  a  median  independence  restriction.  The  proposal  exploits  an  observational  equivalence  between  the  model  and  a  probit  model  with  nonparametric  heteroskedasticity.  This  leads  to  a  computationally  attractive  Bayesian  inference  procedure  in  which  a  Gaussian  process  forms  a  conditionally  conjugate  prior  for  the  natural  logarithm  of  the  skedastic  function.
■590    ▼aSchool  code:  0084.
■650  4▼aStatistics
■653    ▼aBayesian  econometrics
■653    ▼aAsymptotic  normality
■653    ▼aLog-likelihood  function
■653    ▼aBinary  choice  model
■690    ▼a0501
■690    ▼a0511
■690    ▼a0463
■71020▼aHarvard  University▼bEconomics.
■7730  ▼tDissertations  Abstracts  International▼g86-12B.
■790    ▼a0084
■791    ▼aPh.D.
■792    ▼a2025
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17357417▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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