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Quasi-Bayesian Estimation and Inference with Control Functions

作者: 时间:2025-03-26 点击数:

主讲人 Ruixuan Liu 简介 <p>This paper studies a quasi-Bayesian method that integrates frequentist estimation in the first stage with Bayesian inference in the second stage, motivated by structural discrete choice models using control function methodology to address endogeneity bias. In the first stage, a frequentist nonparametric approach estimates the control function, while the second stage employs a Bayesian approach to manage complex likelihood functions associated with the structural equation. We analyze the asymptotic properties of the quasi-posterior distributions from the second stage, demonstrating that the resulting quasi-Bayesian credible set lacks the desired coverage in large samples. However, the quasi-Bayesian point estimator remains consistent and asymptotically equivalent to a frequentist two-stage estimator. We also show that valid inference can be achieved by bootstrapping the quasi-posterior mean, accounting for first-stage estimation uncertainty.</p>
时间 2025-04-01 (Tuesday) 16:30-18:10 地点 厦大经济楼N302(线下分会场)、中国科学院数学与系统科学研究院南楼N204、腾讯会议 ID:966 412 577
讲座语言 中文 主办单位 厦门大学邹至庄经济研究院、厦门大学-中国科学院计量建模与经济政策研究基础科学中心、中国科学院数学与系统科学研究院预测科学研究中心、中国科学院大学经济与管理学院
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联系人信息 许老师,电话:2182991,邮箱:ysxu@xmu.edu.cn 主持人 洪永淼
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主讲人简介 <p>Ruixuan LIU is an Associate Professor at the Chinese University of Hong Kong (CUHK) Business School. He received his PhD in Economics from University of Washington. His research is in the area of econometrics and data science. His recent works focus on nonparametric Bayesian inference and its applications to econometric models. His research work has been published on Econometrica, Journal of Econometrics, Econometric Theory and Quantitative Economics, etc. He won the 2018 Arnold Zellner Price (jointly with Yanqin Fan) for the best theoretical econometrics paper published by Journal of Econometrics between 2016 and 2017. He is currently an associate editor of Journal of Econometrics and Econometric Reviews.</p> 期数 “邹至庄讲座”青年学者论坛(第79期)
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