梁家卷 - 北京师范大学-香港浸会大学

个人简介

教育背景统计学博士，香港浸会大学 1998 统计学硕士，南开大学 1987 数学专业理学学士，南开大学 1984 梁家卷博士，统计学副教授，毕业于南开大学数学系，取得数学专业理学学士和数理统计专业硕士。1994年9月至1998年8月，梁家卷跟随方开泰教授在中国科学院应用数学研究所和香港浸会大学数学系（联合培养）做多元统计方向的博士研究生，于1998年8月取得博士学位。梁家卷博士于1998年10月至2001年8月在美国加州大学洛杉矶分校（UCLA）心理系做博士后研究，2001年9月至2007年8月在美国康州纽海文大学商学院做助理教授并于2007年9月成为副教授和取得终身教职（Tenure）。梁家卷博士一直从事多元统计推断和高维数据分析的降维方法论及结构方程模型方面的研究，已经取得了四十多篇文章的研究成果。其中一篇高维均匀性检验及其应用的文章发表于顶级计算数学期刊（Mathematics of Computation, 2001, Vol. 70, pp. 337-355）, 和一篇二水平结构方程模型的文章发表于顶级计量心理学期刊（Psychometrika, 2004, Vol. 69, pp. 101-122），所有文章在scholar.google.com 的引用次数超过550次。梁家卷博士于2007年取得纽海文大学研究与创造性优秀奖并成为连续两届的纽海文大学研究学者（University Research Scholar, 2010-2013 and 2014-2016）。梁家卷博士于2020年9月加入北京师范大学-香港浸会大学联合国际学院，目前从事教学与统计分布代表点及其应用方面的研究工作并作为副主编（编委）服务于两个学术刊物：1) Journal of Advanced Statistics; and 2) Science Journal of Applied Mathematics。

研究领域

拟合优度技术、高维数据分析、广义多元分析、结构方程建模、代表点及其应用

近期论文

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Kai-Tai Fang and Jiajuan Liang (1999). Testing spherical and elliptical symmetry. In: S. Kotz, C.B. Read and D.L. Banks (eds.), Encyclopedia of Statistical Sciences (Update). John Wiley & Sons, Inc., New York, Vol. 3, 686-691. Kai-Tai Fang, Runze Li and Jiajuan Liang (1998). A multivariate version of Ghosh T3-plot to detect non-multinormality. Computational Statistics & Data Analysis, 28, 371-386. Kai-Tai Fang, Runze Li and Jiajuan Liang (1998). A multivariate version of Ghosh T3-plot to detect non-multinormality. Computational Statistics & Data Analysis, 28, 371-386. Kai-Tai Fang, Runze Li and Jiajuan Liang (1998). A multivariate version of Ghosh T3-plot to detect non-multinormality. Computational Statistics & Data Analysis, 28, 371-386. Kai-Tai Fang, Runze Li and Jiajuan Liang (1998). A multivariate version of Ghosh T3-plot to detect non-multinormality. Computational Statistics & Data Analysis, 28, 371-386. Kai-Tai Fang, Runze Li and Jiajuan Liang (1998). A multivariate version of Ghosh T3-plot to detect non-multinormality. Computational Statistics & Data Analysis, 28, 371-386. Samuel Kotz, Kai-Tai Fang and Jiajuan Liang (1997). On multivariate vertical density representation and its application to random number generation. Statistics, 30, 163-180. Zhen-Hai Yang, Kai-Tai Fang and Jiajuan Liang (1996). A characterization of multivariate normal distribution and its application. Statistics & Probability Letters, 30, 347-352. Kai-Tai Fang and Jiajuan Liang (1989). Inequalities for the partial sums of elliptical order statistics related to genetic selection. The Canadian Journal of Statistics, 17, No. 4, 439-446. Peter M. Bentler, Jiajuan Liang, and Ke-Hai Yuan (2005). Some Recent Advances in Two-level Structural Equation Models: Estimation, Testing and Robustness. In: Jianqing Fan and Gang Li (Eds.), Contemporary Multivariate Analysis and Experimental Design. Pages 211-232. World Scientific Publisher. Linda Martin and Jiajuan Liang (2007). Likert scale data: A suggested improvement in statistical testing. Academy of Taiwan Business Management Review, Vol. 3 (No. 1), 24-30. Kai-Tai Fang, Jiajuan Liang, Fred J. Hickernell, and Runze Li (2007). A stabilized uniform Q-Q plot to detect non-multinormality. In: Agnes Chao Hsiung, Zhiliang Ying, and Cun-Hui Zhang (Eds.), Random Walk, Sequential Analysis and Related Topics. World Scientific, New Jersey, pp. 254-268. Jiajuan Liang, Pawel Mensz, and Wentworth Boynton (2007). Testing mean for business data: A nontraditional approach. Academy of Taiwan Business Management Review, Vol. 3 (No. 2), 126-134. Jiajuan Liang and William S. Y. Pan (2007). ANOVA for business data: What can you do if the statistical conditions are not satisfied? The Journal of Global Business Issues, Vol. 1 (Issue 2), 205-215. Jiajuan Liang and Kai Wang Ng (2008). A method for generating uniformly scattered points on the Lp-norm unit sphere and its applications. Metrika. 68, 83-98. Jiajuan Liang, Kai-Tai Fang, and Fred. J. Hickernell (2008). Some necessary uniform tests for spherical symmetry. The Annals of the Institute of Statistical Mathematics, 60, 679-696. Jiajuan Liang and Linda Martin (2008). Testing the mean for dependent business data. Journal of Hospital Marketing & Public Relations, 18 (No. 2), 149-165. Peter M. Bentler and Jiajuan Liang (2008). A unified approach to two-level structural equation models and linear mixed effects models. In: Dunson, D. (Editor), Random Effect and Latent Variable Model Selection (Lecture Notes in Statistics), pp. 95-119. Springer-Verlag, New York. Jiajuan Liang and Man-Lai Tang (2009). Generalized F-tests for the multivariate normal mean. Computational Statistics & Data Analysis, 57, 1177-1190. Jiajuan Liang and Kai Wang Ng (2009). A multivariate normal plot to detect non-normality. Journal of Computational and Graphical Statistics, 18 (No. 1), 52-72. Jiajuan Liang, Man-Lai Tang, and Xuejing Zhao (2019). Testing high-dimensional normality based on classical skewness and kurtosis with a possible small sample size. Communications in Statistics -Theory and Methods, 48 (23), 5719-5732. Jiajuan Liang, Kai Wang Ng, and Guoliang Tian (2019). A Class of Uniform Tests for Goodness-of-fit of the Multivariate Lp-norm spherical distributions and the lp-norm symmetric distributions. Annals of the Institute of Statistical Mathematics, 71, 137-162. Jiajuan Liang and Qiang Zhao (2020). A Q-Q plot for detecting non-multinormality based on a normal characterization and the S-W statistic. Communications in Statistics -Theory and Methods. Published online: DOI: 10.1080/03610926.2020.1761983 Jiajuan Liang, Man-Lai Tang, and Ping Shing Chan (2009). A generalized Shapiro-Wilk W Statistic for testing high-dimensional normality. Computational Statistics & Data Analysis, 53, 3883-3891. Jianxin Pan, Jiajuan Liang, and Guoliang Tian (2020). Walking on the Road to the Statistical Pyramid. In: Fan, J and Pan, J (Eds). Contemporary Experimental Design, Multivariate Analysis and Data Mining ‐ Festschrift in Honour of Professor Kai-Tai Fang, pp. 3-20, Springer-Verlag, Jiajuan Liang, Man-Lai Tang, Jing Yang, Xuejing Zhao (2020). An Application of the Theory of Spherical Distributions in Multiple Mean Comparison. In: Fan, J and Pan, J (Eds). Contemporary Experimental Design, Multivariate Analysis and Data Mining ‐ Festschrift in Honour of Professor Kai-Tai Fang, pp. 189-199, Springer-Verlag. Gang Li, Jiajuan Liang, Jianxin Pan, Guoliang Tian, and Xiaoling Peng (2020). Multivariate analysis and its applications. Science in China: Mathematics, Vol. 50 (5), 571-584. Peter M. Bentler, Jiajuan Liang, Man-Lai Tang, Ke-Hai Yuan (2011). Constrained maximum likelihood estimation for two-level mean and covariance structure models. Educational and Psychological Measurement. 71 (No. 2), 325-345. Jiajuan Liang (2012). T3-Plot for Testing Spherical Symmetry for High-Dimensional Data with a Small Sample Size. Journal of Probability and Statistics, Vol. 2012, Article ID 728565, 18 pages. Mingyao Ai, Jiajuan Liang, and Man-Lai Tang (2016). Generalized T3-plot for testing high-dimensional normality. Frontiers of Mathematics China, 11 (6), 1363-1378. Jiajuan Liang, Kai Wang Ng, and Guoliang Tian (2017). A stochastics representation for the lp-norm symmetric distribution and its applications. Communications in Statistics – Simulation and Computatio n, 46 (8), 6011-6018. Jiajuan Liang (2017). A Generalized F-test for the Mean of A Class of Elliptically Contoured Distributions. Journal of Advanced Statistics, Vol. 2, No. 1, 10-15.