A Unified Framework for Efficient Estimation of General Treatment Models
时间：2019-04-24
阅读量：333次
- 演讲人： 艾春荣教授（中国人民大学统计与大数据研究院）
- 时间：2019年05月13日 星期一下午4:00-
- 地点：玉泉校区工商管理楼多媒体厅200-9
- 主办单位：浙江大学数学科学学院统计学研究所、浙江大学数据科学研究中心
摘要：This paper presents a weighted optimization framework that unifies the binary, multivalued, continuous, as well as mixture of discrete and continuous treatment, under the unconfounded treatment assignment. With a general loss function, the framework includes the average, quantile and asymmetric least squares causal effect of treatment as special cases. For this general framework, we first derive the semiparametric efficiency bound for the causal effect of treatment, extending the existing bound results to a wider class of models. We then propose a generalized optimization estimator for the causal effect with weights estimated by solving an expanding set of equations. Under some sufficient conditions, we establish the consistency and asymptotic normality of the proposed estimator of the causal effect and show that the estimator attains our semiparametric efficiency bound, thereby extending the existing literature on efficient estimation of causal effect to a wider class of applications. Finally, we discuss estimation of some causal effect functionals such as the treatment effect curve and the average outcome. To evaluate the finite sample performance of the proposed procedure, we conduct a small scale simulation study and find that the proposed estimation has practical value. To illustrate the applicability of the procedure, we revisit the literature on campaign advertising and campaign contributions. Unlike the existing procedures, which produce mixed results, we find no evidence of campaign advertising on campaign contribution. The paper is a joint work with Oliver Linton, Kaiji Motegi and Zheng Zhang.
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联系人: 张立新教授 stazlx@zju.edu.cn
浙江大学数学科学学院统计学研究所、浙江大学数据科学研究中心
报告人简介：
艾春荣，中国人民大学教授。1982年毕业于华中科技大学（原华中工学院）应用数学专业，1990年获得美国麻省理工学院经济学博士学位，现任中国人民大学统计学教授、中国人民大学统计与大数据研究院院长。艾春荣教授一直从事数理统计学与经济学、金融学交叉领域的研究，并在理论与方法研究和应用研究上，取得了令人瞩目的成果，已在国际一流期刊，包括经济学、金融学权威期刊Econometrica, International Economic Review， Reviewof Economic and Statistics, Journal of Econometrics, American Journal of Agricultural Economics, Journal of Health Economics 等期刊上发表论文四十多篇。近几年来，他对中国经济也给予极大的关注，并在《经济研究》、《管理世界》、《管理科学学报》、《中国科学》、《数量经济与技术经济研究》、《统计研究》等国内权威期刊上发表文章十多篇， 就中国数据保密问题、如何扩大消费问题、中国公司债券定价问题、中国卫生服务公平性问题、和中国经济结构变化等问题做出了有益的探索。