报告题目：The asymmetric Laplace process and its application to the analysis of gene expression trajectory
报 告 人：邓殿良 教授
所在单位：University of Regina, Canada
报告时间：2025年5月15日 星期四 10:00-11:00
报告地点：吉林大学中心校区数学楼第二报告厅
校内联系人：程建华 chengjh@jlu.edu.cn
报告摘要：Temporal gene expression data can characterize gene function, and gene expression trajectories under various biological conditions attract significant scientific interest. Most studies have analyzed gene expression trajectories using traditional mean regression models, which often perform poorly due to non-normal distributions, potential outliers, and heteroscedasticity in the data. This paper proposes a so-called asymmetric Laplace process and the properties of this process are discussed. Building on the application of the univariate asymmetric Laplace distribution in quantile regression models, we extend this approach to the multivariate case by assuming the error term follows the asymmetric Laplace process. Further, we explore the likelihood-based EM algorithm to estimate the quantile function of gene expression trajectories, exploring the association between multivariate responses and explanatory variables across different quantiles. The proposed method is validated through simulation studies, demonstrating effective estimation. Additionally, we apply this approach to a real dataset of 18 genes in P. aeruginosa expressed under 24 biological conditions.
报告人简介：Dr. Deng is a full Professor at the Department of Mathematics and Statistics, University of Regina. Dr. Deng is mainly engaged in theoretical research of probability theory and biostatistics and its application in biological and medical sciences. He has published about 50 academic papers in peer reviewed journals including Journal of Royal Statistical Society (B), Journal of Multivariate Analysis, Statistics in Medicine, Statistical Methods in Medical Research and Journal of nNoparametric Statistics. He is reviewer and/or referee for many journals such as J. Nonp. Stat., Can. J. Stat., Biometrics, Stat. Med., J. Multi. Anal., J. Appl. Stat., J. Stat Comput. Simul., Stat. Sinica, Ann. Appl. Stat., Stat. Methods in Med. Res., Appl. Math. Modelling, and Stat. and Its Interface.
