> Professor, Department of Mathematics and Ph.D Director

• Hengjian Cui received his B.S and M.S degrees in Mathematics from Beijing Normal University ( BNU ), China in July 1983 and 1986 respectively, and received his Ph.D degree in Statistics from Institute of System Sciences, Chinese Academy of Sciences in July 1993. He was a Visiting Scholar in Department of Statistics of University of Illinois at Urbana-Champaign (UIUC) and Department of Mathematics of Arizona State University (ASU) from July 2000 to August 2001.
• Personal Website

      > Research Interests

•  parametric estimation theory in statistical linear model, growth curve model, measurement error (errors-in variables) model;Projection pursuit approach;hypothesis testing; multivariate data analysis; nonparametric, semi parametric and robust statistics; empirical likelihood method; quality control;statistical computing and numerical analysis.

• My ongoing research is on the model checking and the theory of statistical depth functions and  its applications to multivariate exploratory data analysis, pattern recognition, quality control and system reliability, biomedical sciences, etc.       

        >Teaching

• Quality Control (1302507, English Speaking)(Fall Semester 2004 for 02' undergraduates of Statistics)
• Seminar on " Theoretical and Applied Statistics" (Spring Semester 2004 for 00', 01' and 02' Masters of Statistics) Basic statistical teaching
• Quality Control (1302507, English Speaking) (Fall Semester 2003 for 01' undergraduates of Statistics)
• Statistical Data Analysis (1302402) (Spring Semester 2003 for 99' and 00' undergraduates of Statistics)
• Seminar on " Robust Statistics" (Spring Semester 2003 for 00' and 01' Masters of Statistics)
• Quality Control (1302507)         Total Score (Jan. 7, 2003) (Fall Semester 2002 for 99' and 00' undergraduates of Statistics)
• Seminar on "Errors-in-Variables Mdoels" (Fall Semester 2002 for 00' and 01' Masters of Statistics)
• Insurance and Actuarial Science           Total Score(Spring Semester 2002 for 99' undergraduates
• Introductory Probability and Statistics (Fall Semester 2001 for 99' undergraduates)

> Other Appointments

• Council Member of Probability and Statistics Association of China, 1998-2002 term.
• Standing Council Member of Probability and Statistics Association of China, 2002-2006 term.
• Membership Committee of the International Chinese Statistical Association (ICSA) (1999-2002).

        >Recent Publications

• Cui Hengjian, He Xuming and Liu Li (2001): Testing additivity with regression splines (revised). View or download the Postscript file

• Zhu Lixing and Cui Hengjian (2001): Testing lack-of-fit for general linear errors in variables models (revised). View or download the Postscript file
• Cui Hengjian and Chan Laikow (2002): Control charts for short runs. View or download the Postscript file
• Arcones Miguel A., Cui Hengjian and Zuo Yijun (2002): Empirical depth processes. Accepted tentatively by Test (revised). View or download the Postscript file
• Cui Hengjian and Kong Efang (2002): Empirical likelihood confidence regions for semi-parametric errors-in-variables models. View or download the Postscript file
• Chen Songxi and Cui Hengjian (2002): On the second order properties of empirical likelihood with moment restrictions. View or download the Postscript file
• Cui Hengjian (2003): Asymptotics of mean transformation estimators with errors in variables model. View or download the Postscript file
• Jin Jiao and Cui Hengjian (2003): Test for homoskedasticity of variance in nonparametric regression model. View or download the Postscript file
• Jin Jiao and Cui Hengjian (2004): The discrimination of signal in Gene's identification. View or download the Postscript file
• Chen Songxi and Cui Hengjian (2004): On Bartlett correction of empirical likelihood in the presence of nuisance parameters. Accepted by Biometrika. View or download the Postscript file

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  2004
• Cui Hengjian (2004): Estimation in partial linear EV models with replicated observations. Science in China ( Ser. A, English Version ), 47(1), 144-159. View or download the Postscript file,   Science in China ( Ser. A, Chinese Version ), 13(1), 1-16. View or download the Postscript file.
• Zuo Yijun, Cui Hengjian and He Xuming (2004). On the Stahel-Donoho estimator and depth-weighted means of multivariate data. Ann. Statist. 32 (1),167-188. View or download the Postscript file
• Zuo Yijun , Cui Hengjian and Dennis Young (2004): Influnce function and maximum bias of projection depth based estimators. Ann. Statist. 32(1), 189-218. View or download the Postscript file
• Zuo Yijun and Cui Hengjian (2004): Statistical depth functions and some applications. Advances in Mathematics, 33 (1), 1-25. View or download the Postscript file
• Wang Xueli and Cui Hengjian (2004): Local linear estimation in presence of auxiliary information. J. Chinese Applied Probability and Statistics, 20(2), 161-170.
• Zuo Yijun and Cui Hengjian (2004): Depth weighted scatter estimators. Ann. Statist. 32(5).
• Cui Hengjian (2004): On consistency and normality for t-type regression estimation. Science in China (Ser. A, Chinese Version) 34(3): 1-12. View or download the Postscript file ,   Science in China (Ser. A, English Version) 14(3): 1-12. View or download the Postscript file
• Cui Hengjian, Kai W. Ng and Zhu Lixing (2004): Estimation in mixed effects model with errors in variables. To appear in JMVA. View or download the Postscript file
• Zhu Lixing and Cui Hengjian (2004): Some properties of a lack-of-fit for a linear errors in variables model. Acta Mathematica Applicatae Sinica, 20(3), 1-8. View or download the Postscript file.
• Chen Guang-lei and Cui Hengjian (2004): The testing for normality based on PP-skewness and PP-kurtosis in EV model. Math. Appl. (Wuhan) 17(1), 16-21.
• Cui Hengjian, He Xuming, and Kai, W. Ng (2004): M-estimation for linear models with spatially-correlated errors. Statist. Probab. Lett. 66(4), 383-393. View or download the Postscript file

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  2003
• Cui Hengjian and Chen Songxi (2003). Empirical likelihood confidence region for parameter in the errors-in-variables models. J. Multivariate Anal., 84 (1), 101-115. View or download the Postscript file
• Chen Songxi and Cui Hengjian (2003): An extend empirical likelihood for generalized linear model. Statistica Sinica. 13, 69-81. View or download the Postscript file
• Chan Laikow and Cui Hengjian (2003): Skewness correction bar(X) and R charts for skewed distribution. Naval Research Logistics, 50, 555-573. View or download the Postscript file
• Zhu Lixing and Cui Hengjian (2003): Semiparametric regression model with errors in variables. Scan. J. Statist. 30 (1), 429-442. View or download the Postscript file
• He Xuming, Cui Hengjian and Simpson, D. (2003): Longitudinal data analysis using t-type regression. J. Statist. Planning and Inference. 122, 253-269. View or download the PDF file
• Cui Hengjian, He Xuming, and Kai, W. Ng (2003): Aysmptotic distributions of principal components based on robust dispersions. Biometrika. 90(4), 953-966. View or download the Postscript file
• Cui Hengjian, Li Zhonglai, Yang Hua and Li Xiaowen (2003): Nonlinear regression in SARS forecasting. Journal of Remote Sensing, 4, 74-79. View or download the Postscript file
• Li Zhonglai, Cui Hengjian, Yang Hua and Li Xiaowen (2003): SI models and picewise SI model on SARS forecasting. Journal of Remote Sensing, 7(5), 347-349. View or download the Postscript file
• Zhu Lixing, Song Weixing and Cui Hengjian (2003): Testing lack-of-fit for a polynomial errors-in-variables models. Acta Mathematica Applicatae Sinica. 19 (3), 353-362. View or download the Postscript file.
• Li Xuelian and Cui Hengjian (2003): Violent behavour analysis of undergraduate and policy of education and management. Journal of Beijing Normal University ( Social Science) , special issue, 41-84. View or download the Postscript file.

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  2002
• Cui Hengjian (2002). The average projection type weighted Cramer-von Mises statistics for testing some distributions. Science in China (Ser. A). 45(5),562-577. View or download the Postscript file
• Song Weixing and Cui Hengjian (2002): The lack-of-fit test for linear EV models. Journal of Beijing Normal University (Natural Science) , 38(5), 462-470.
• Cui Hengjian, He Xuming and Zhu Lixing (2002): On regression estimators with de-noised variables. Statistica Sinica, 4, 1191-1205. View or download the PDF file
• Cui Hengjian and Li Guoying (2002): Discussion on the paper "An adaptive estimation of dimension reduction space" by Xia Yingcun, Tong H., Li W.K. and Zhu Lixing, J. R. Statisit. Soc. B, 64, part 3, 363-410(394). View or download the PDF file

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  2001
• Cui Hengjian and Yuan Xiujiu (2001): Smoothed empirical likelihood confidence intervals for quantile in the partial symmetric auxiliary information, J. Sys. Sci. and Math. Scis., 21(2), 172-181. View or download the Postscript file
• Cui Hengjian and Chen Qiuhua (2001): Some properties of Rosen's MLE for general distributions, Acta Mathematica Scientia (Ser. B), 21(3), 375-382.
• Chan Laikow, Cui Hengjian, Li Guoying and Zhangjian (2001). Projection pursuit approach to multivariate statistical process control, Advances in Mathematics , 30(3), 193-202.
• Cui Hengjian (2001): James-Stein type confidence ellipsoid and its improved coverage probability, Acta Mathematica Applicatae Sinica , 24(3), 404-409.
• Gao Xiuhong and Cui Hengjian (2001). Empirical likelihood ratio confidence regions in EV model, Journal of Beijing Normal University (Natural Science) , 37(5), 586-591.