Academic Report of School of Mathematical Sciences [2025] No. 142

(Series Report for High-Level University Construction No. 1243)

Title：Optional subsampling for generalized estimating equations in growing-dimensional longitudinal Data

Speaker：Professor Xiaohui Yuan（Changchun University of Technology）

Time：14:00-15:00, Dec.9, 2025

Location：Tencent Meeting(Number:405-809-173)

Abstract：As a powerful tool for longitudinal data analysis, the generalized estimating equations have been widely studied in the academic community. However, existing research  has mostly been conffned to scenarios with small sample sizes. In this paper, we propose an optimal Poisson subsampling algorithm for large-scale longitudinal data with diverging covariate dimension, and establish the asymptotic properties of the resulting estimator. We further derive the optimal Poisson subsampling probability based on A- and L-optimality criteria. An approximate optimal Poisson subsampling algorithm is proposed, which adopts a two-step procedure to construct these probabilities. Simulation studies are conducted to evaluate the performance of the proposed method under three different working correlation matrices. The results show that the method remains effective even when the working correlation matrices are misspeciffed. Finally, we apply the proposed method to the CHFS dataset to illustrate its empirical performance.

Speaker Profile：Xiaohui Yuan, Professor and Doctoral Supervisor, selected as a Tier III Outstanding Innovative Talent of Jilin Province and a Category D Talent of Jilin Province. Serves as Council Member of the Multivariate Analysis Application Committee of the Chinese Society for Applied Statistics, Council Member of the Statistical Interdisciplinary Research Branch of the Chinese Society for Applied Statistics, Council Member of the Digital Economy and Blockchain Association of the National Industrial Statistics Teaching Research Association, Council Member of the Jilin Provincial Operations Research Society, and Committee Member of the National College Student Market Research and Analysis Competition. Engaged in research on big data analysis and biostatistics, having published over 30 academic papers in core journals or above, including more than 20 SCI-indexed papers and 5 CSSCI-indexed papers. He has led 7 projects including the National Social Science Fund General Project, National Natural Science Foundation Youth Fund, and Jilin Provincial Youth Research Fund, and participated in 9 national and provincial/ministerial-level projects. He has led 1 provincial education research project and participated in 8 others, receiving the Second Prize of Jilin Provincial Natural Science Award. He has published 2 provincial-level education research papers and received the First Prize of Jilin Provincial Teaching Achievement Award.

Faculty and students are welcome to attend!

Invited by: Yan Zhou

School of Mathematical Sciences

December 5, 2025