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.
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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.
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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.
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52. Zhu Lixing and Cui Hengjian (2003): Semiparametric regression model with errors in
variables. Scan. J. Statist. 30 (1), 429-442.
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53. Cui Hengjian, He Xuming,
and Kai, W. Ng (2003): Aysmptotic distributions of principal components based on
robust dispersions. Biometrika. 90(4), 953-966.
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54. Cui Hengjian, Li Zhonglai, Yang Hua and
Li Xiaowen (2003):
Nonlinear regression in SARS forecasting.
Journal of Remote Sensing, 4, 74-79.
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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.
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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.
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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.
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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.
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59. Cui Hengjian (2004): Estimation in partial linear EV models
with replicated observations.
Science in China ( Ser. A, Chinese Version ),
34(4), 467-482.
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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.
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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.
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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.
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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.
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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.
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70. He Xuming, Cui Hengjian and Simpson,
D. (2004): Longitudinal data analysis using t-type
regression. J. Statist. Planning and Inference. 122, 253-269.
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2005
71. Zuo Yijun and Cui Hengjian
(2005):
Depth weighted scatter estimators. Ann. Statist. 33(1),381-413.
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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.
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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.
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74. Zhu Lixing and Cui Hengjian (2005): Testing lack-of-fit for general linear errors in
variables models, Statistica Sinica , 15(4), 1049-1068.
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75. Cui Hengjian (2005):
Asymptotics of mean transformation estimators with
errors in variables model.
Journal of Sys. Sci. & Comp., 18(4),446-455.
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76. Cui Hengjian (2005):
T-type regression and L1, L2 approaches.
Application of Statistics and Management, 25 (Special Issue), 5-10.
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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 ].
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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.
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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.
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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.
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81. Chen Songxi and Cui Hengjian (2006):
On Bartlett correction of empirical likelihood in the presence of nuisance parameters.
Biometrika. 93:215-220.
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82. Arcones Miguel A., Cui Hengjian and Zuo Yijun
(2006): Empirical depth processes. Test. 15(1):151-177.
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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.
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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.
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Selected references:
1step paper by Simpson
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Simex papers by Cook and Stefanski
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Tskew paper by Chen Ling
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Cube root rate paper by Kim
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Dimension reduction paper by Xia, Tong, Li and Zhu
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PP scatter matrix paper by Guoying Li and Zhonglian Chen
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Qn paper by Croux View or download the Postscript file
Empirical likelihood for GEE paper by Qin Jin and Lawless
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Rice genome paper in Science by HUA DA JI YIN
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Bahadur representation paper in Ann Statist by XUMING HE and QIMAN SHAO
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EL for weakly dependent processes paper in Ann Statist (1997) by Kitamura
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EL paper in Ann Statist (1990) by Owen
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EL for linear model paper in Ann Statist (1991) by Owen
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S-estimation paper in Ann Statist (1987) by Davis
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S-estimation in linear model paper in Ann Statist (1990) by Davis
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