报告题目：Nonparametric Tests for Equality of Conditional Distributions

主讲人：宋晓军副教授（北京大学）

时间：2024年10月21日（周一）10:00 a.m.

地点：北院卓远楼305会议室

主办单位：统计与数学学院

摘要：We propose nonparametric tests for the equality of two conditional distributions. To avoid the estimation of conditional density functions, we transform the null hypothesis into an equivalent characterization that a function involving only unconditional expectations equals zero everywhere. Based on an empirical analog of this function, which is $\sqrt{N}$-consistent and converges weakly to a Gaussian limit, we construct the Kolmogorov-Smirnov (KS) and Cramer-von Mises (CvM) statistics. The critical values are computed by a multiplier bootstrap procedure. The proposed KS and CvM tests are proved to be asymptotically size-controlled and consistent against any fixed alternative, and we also study the local power. Monte Carlo experiments illustrate good performances of these tests in finite samples.

主讲人简介：

宋晓军，北京大学光华管理学院商务统计与经济计量系副教授，博士生导师，西班牙马德里卡洛斯三世大学经济学博士。主要研究兴趣是理论计量经济学，包括非参数/半参数方法，假设检验和自助法，以及计量经济学的应用等。论文发表在Annals of Applied Statistics，Biometrics，Econometric Theory，Journal of Applied Econometrics，Journal of Business & Economic Statistics和Journal of Econometrics等国际期刊。主持和参与自然科学基金面上项目和重点项目等。自2020年1月起担任Economic Modelling副主编。