• My publications as shown in MatheSciNet
  • Some of Published Papers



    1986

  • 1. Yang Wenli and Cui Hengjian (1986): The existence of Gauss-Markov estimator in the Growth Curve model, J. of Beijing Normal University (Natural Science), 2, 4-8.

    1987

  • 2. Yang Wenli, Cui Hengjian and Sun Guowen (1987): On the best linear unbiased estimation in the restricted general linear model, Statistics, Math. Operationsforsch and Statistics Ser., 18(1), 17-20.

    1990

  • 3. Cui Hengjian (1990): Is p dimensional normal distribution when distribution on its any N projection directions is normal? Mathematics in Practice and Theory , 4, 19-23.

    1991

  • 4. Cui Hengjian (1991): The optimality of the quadratic-type estimate for average second moment, Mathematical Statistics and Applied Probability , 6, 350-360.

    1993

  • 5. Cui Hengjian (1993): A sufficient and necessary condition for a PP-estimator of scatter matrix to be quantitatively robust, Chinese Journal of Applied Probability and Statistics , 8(2), 113-121.

  • 6. Cui Hengjian (1993): Asymptotic properties of a scatter matrix based on one step M-estimation, J. Sys. Sci. and Math. Scis. , 13(3), 245-256.

  • 7. Cui Hengjian and Cheng Ping (1993): The P-values of statistics for testing dispersion matrix, Chinese Science Bulletin , 38(6), 564-567.

  • 8. Cui Hengjian (1993): The PP mean absolute deviations and its asymptotic properties, J. of Beijing Normal University (Natural Science) , 29(2), 168-172.

  • 9. Cui Hengjian and Tian Yubin (1993): The goodness-of-fit test for elliptical contoured distribution, Mathematical Statistics and Applied Probability , 8(2), 39-46.

  • 10. Cui Hengjian (1993): On errors and improvements for the paper "To Prove Inequality Using exp(x)>= 1+x", Shuxue Tongbao (China), 5, 44-45.

    1994

  • 11. Cui Hengjian and Tian Yubin (1994): Estimation of projection absolute median deviation and its application, J. Sys. Sci. and Math. Scis. , 14(1), 63-72.

    1995

  • 12. Cui Hengjian and Li Guoying (1995): Covariance matrix estimation in the presence of auxiliary information, Chinese Science Bulletin , 40(7), 529-534.

  • 13. Cui Hengjian (1995): Empirical likelihood ratio confidence interval with a nuisance parameter, J. of Beijing Normal University (Natural Science), 31(1), 1-5.

  • 14. Cui Hengjian (1995): The theory of estimation in semiparametric EV model, Chinese Science Bulletin , 40(16), 1444-1447.

  • 15. Cui Hengjian (1995): Asymptotic normality of M-estimates in EV model, Chinese Science Bulletin , 40(22), 2031-2033.

  • 16. Cui Hengjian and He Xuming (1995): The consistence of semiparametric estimation of elliptic densities, Acta Mathematica Sinica, New Series , 11, 44-58.

  • 17. Wu Honggan, Cui Hengjian, et. al (1995): Modelling defoliation conditions in moderate canopy density and closed coniferous forest using landsat TM data, Remote Sensing for Land & Resoureces , 2, 29-35.

    1996

  • 18. Cui Hengjian (1996): The PP-Type measure and estimate of multivarite location, Acta Mathematicae Applicatae Sinica , 19(4), 582-588.

  • 19. Cui Hengjian (1996): The P-values of testing for multinormality based on the PP skewness and kurtosis, Progress in Natural Science , 6(3), 277-283.

  • 20. Cui Hengjian and Zhai Shaotian (1996): The estimate and asymptotic properties in semiparametric PP regression model, The Express of Science and Technology of China , 2, 99-100.

  • 21. Cui Hengjian (1996): Rate of convergence of the empirical Radon transform for random window-bandwidth, J. of Beijing Normal University (Natural Science) , 32(3), 286-288.

  • 22. Cui Hengjian (1996): The parameter estimate and properties in the Growth Curve model, Acta Mathematica Scientia , 16(4), 404- 408.

  • 23. Cui Hengjian and Wang Xuefeng (1996): Property of kernel density estimation and application in the diameter distribution, J. of Beijing Forestry University , 18(2), 67-42.

    1997

  • 24. Cui Hengjian (1997): The laws of the iterated logarithm for two kinds of PP statistics, Statistics and Probability Letters , 32, 235-243.

  • 25. Cui Hengjian (1997): Asymptotic properties of Generalized MAD estimators in EV model, Science in China (Series A) , 27(2), 119-131.

  • 26. Cui Hengjian and Wu Honggan (1997): Modeling Dendrolimus Punctatus damage by remote sense detecting, J. of Biomathematics , 12(5), 611-616.

  • 27. Cui Hengjian (1997): Asymptotic normality of M-estimates in the EV model, J. Sys. Sci. and Math. Scis. , 10(3), 225-236.

    1998

  • 28. Qin Quaizhen, Cui Hengjian and Li Yong (1998): The Necessary and sufficient conditions for the ratios of quadratic forms to be distributed as F-distributions, Chinese Journal of Applied Probability and Statistics , 14(1), 79-84.

  • 29. Qin Quaizhen, Cui Hengjian and Li Yong (1998): The N.S. conditions for the ratio of two quadratic forms to have an F-distribution and its applications, Commun. Statist., Theory and Method , 27(2), 453-471.

  • 30. Cui Hengjian and Yuan Xiujiu (1998): The estimate and test in the presence of auxiliary information, J. Sys. Sci. and Math. Scis. , 11(2), 117-124.

  • 31. Cui Hengjian and Li Rongcai (1998): On parameter estimation for semi-linear errors-in-variables models, J. of Multivariate Analysis , 64, 1-24. View or download the PDF file

  • 32. Cui Hengjian (1998): The CUSUM Q charts and its properties for monitoring process variance, Application of Statistics and Management , 17(4), 33-38.

  • 33. Cui Hengjian, Li Yong and Qin Huaizhen (1998): The estimation theory for nonlinear semiparametric EV regression model, Chinese Science Bulletin , 43(23), 2493-2497.

  • 34. Cui Hengjian (1998): The asymptotic properties of distribution function and quantile estimates in the presence of auxiliary information, J. of Beijing Normal University (Natural Science) , 34(4), 450-455.

    1999

  • 35. Cui Hengjian (1999): Asymptotic distribution and its expansion for the weighted PP type Cramer-von Mises statistic, Chinese Journal of Applied Probability and Statistics , 15(3), 281-286.

    2000

  • 36. Cui Hengjian and Chen Guanglei (2000): Skewness and kurtosis statistics for testing normality in EV model, J. of Beijing Normal University (Natural Science) , 36(1), 9-13.

  • 37. Cui Hengjian (2000): A projection type distribution function and quantile estimates in the presence of auxiliary information, Statistics and Probability Letters , 48, 91-100. View or download the Postscript file

  • 38. Cui Hengjian and Chen Qiuhua (2000): The story of Gaussian distribution, Shuxue Tongbao (China), 4, 40-42.

  • 39. Cui Hengjian (2000): Rate of convergence of the density estimator on an unknown orientation, J. of Chinese Applied Probability of Statistics , 15, 30-45.

    2001

  • 40. 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.

  • 41. Cui Hengjian and Chen Qiuhua (2001): Some properties of Rosen's MLE for general distributions, Acta Mathematica Scientia (Ser. B), 21(3), 375-382.

  • 42. Chan Laikow, Cui Hengjian, Li Guoying and Zhangjian (2001). Projection pursuit approach to multivariate statistical process control, Advances in Mathematics , 30(3), 193-202.

  • 43. Cui Hengjian (2001): James-Stein type confidence ellipsoid and its improved coverage probability, Acta Mathematica Applicatae Sinica , 24(3), 404-409.

  • 44. 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.

    2002

  • 45. 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

  • 46. 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.

  • 47. 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

  • 48. 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

    2003

  • 49. 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

  • 50. 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

  • 51. 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

  • 52. 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

  • 53. 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

  • 54. 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

  • 55. 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

  • 56. 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), 1-10. View or download the Postscript file.

  • 57. 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.


    2004

  • 58. 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.

  • 59. Cui Hengjian (2004): Estimation in partial linear EV models with replicated observations. Science in China ( Ser. A, Chinese Version ), 34(4), 467-482. View or download the Postscript file.

  • 60. 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

  • 61. 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

  • 62. 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

  • 63. Wang Xueli and Cui Hengjian (2004): Local linear estimation in presence of auxiliary information. J. Chinese Applied Probability and Statistics, 20(2), 161-170.

  • 64. Cui Hengjian (2004): On consistency and normality for t-type regression estimation. Science in China (Ser. A, Chinese Version) 34(3): 361-372. View or download the Postscript file.  

  • 65. Cui Hengjian (2004): On consistency and normality for t-type regression estimation. Science in China (Ser. A, English Version) 47(4): 628-639. View or download the Postscript file.

  • 66. Cui Hengjian, Kai W. Ng and Zhu Lixing (2004): Estimation in mixed effects model with errors in variables. J.Multivariate Anal. 91 (1),53-73. View or download the Postscript file.

  • 67. 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.

  • 68. 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.

  • 69. 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(4), 533-540. View or download the Postscript file.

  • 70. He Xuming, Cui Hengjian and Simpson, D. (2004): Longitudinal data analysis using t-type regression. J. Statist. Planning and Inference. 122, 253-269. View or download the PDF file

    2005

  • 71. Zuo Yijun and Cui Hengjian (2005): Depth weighted scatter estimators. Ann. Statist. 33(1),381-413. View or download the Postscript file

  • 72. Tong Xingwei, Cui Hengjian and Zhao Hui (2005): Asymptotics of Huber-Dutter estimators for partial linear model with nonstochastic designs. Acta Mathematica Applicatae Sinica, 21 (2), 257-268. View or download the pdf file.

  • 73. Wang Darong, Cui Hengjian and Tong Xingwei (2005): Testing for independency of bivariate extrame value distribution and its application in Shenzhen stocks exchange. Statistics and Decision, 3, 57-59. View or download the pdf file

  • 74. Zhu Lixing and Cui Hengjian (2005): Testing lack-of-fit for general linear errors in variables models, Statistica Sinica , 15(4), 1049-1068. View or download the pdf file

  • 75. Cui Hengjian (2005): Asymptotics of mean transformation estimators with errors in variables model. Journal of Sys. Sci. & Comp., 18(4),446-455. View or download the Postscript file

  • 76. Cui Hengjian (2005): T-type regression and L1, L2 approaches. Application of Statistics and Management, 25 (Special Issue), 5-10. View or download the pdf file

  • 77. Cui Hengjian and Wang Qiang (2005): Parameter estimation in varying coefficients structural EV model. Journal of Beijing Normal University (Natural Science) , 41(6), 563-568. [ This paper has also been postered on the website: http://www.paper.edu.cn (No:200512-440) and it is evaluated a five-star paper ]. View or download the Postscript file

    2006

  • 78. Cui Hengjian (2006): T-type estimators and EM algorithm in linear model and linear errors-in-variables model. Journal of Chinese Probability and Statistics 22 (4), 1-15. View or download the Postscript file

  • 79. Cui Hengjian and Kong Efang (2006): Empirical likelihood confidence regions for semi-parametric errors-in-variables models, Scandinavian Journal of Statistics, 33, 153-168. View or download the Postscript file

  • 80. Cui Hengjian and Gao Xiuhong (2006): Quadratic admissible estimate of covariance in pseudo-elliptical contoured distribution, Journal of Sys. Sci. & Comp., 19, 236-255. View or download the Postscript file

  • 81. Chen Songxi and Cui Hengjian (2006): On Bartlett correction of empirical likelihood in the presence of nuisance parameters. Biometrika. 93:215-220. View or download the Postscript file

  • 82. Arcones Miguel A., Cui Hengjian and Zuo Yijun (2006): Empirical depth processes. Test. 15(1):151-177. View or download the Postscript file

  • 83. Jin Jiao and Cui Hengjian (2006): Test for homoskedasticity of variance in nonparametric regression model. Journal of Sys. Sci. & Math. 26(2):217-227. View or download the Postscript file

  • 84. Jin Jiao and Cui Hengjian (2006): Parameter estimation based on robust scatter matrix in semiparametric regression model. Journal of Beijing Normal University (Natural Science), 42(2),11-15. View or download the Postscript file



    Selected references:

  • 1step paper by Simpson View or download the Postscript file

  • Simex papers by Cook and Stefanski View or download the Postscript file;
    View or download the Postscript file

  • Tskew paper by Chen Ling View or download the Postscript file

  • Cube root rate paper by Kim View or download the Postscript file

  • Dimension reduction paper by Xia, Tong, Li and Zhu View or download the Postscript file

  • PP scatter matrix paper by Guoying Li and Zhonglian Chen View or download the Postscript file

  • Qn paper by Croux View or download the Postscript file

  • Empirical likelihood for GEE paper by Qin Jin and Lawless View or download the Postscript file

  • Rice genome paper in Science by HUA DA JI YIN View or download the Postscript file

  • Bahadur representation paper in Ann Statist by XUMING HE and QIMAN SHAO View or download the Postscript file

  • EL for weakly dependent processes paper in Ann Statist (1997) by Kitamura View or download the Postscript file

  • EL paper in Ann Statist (1990) by Owen View or download the Postscript file

  • EL for linear model paper in Ann Statist (1991) by Owen View or download the Postscript file

  • S-estimation paper in Ann Statist (1987) by Davis View or download the Postscript file

  • S-estimation in linear model paper in Ann Statist (1990) by Davis View or download the Postscript file
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