趙林城

趙林城

趙林城,畢業於中國科學技術大學,男,博士。

基本信息

人物經歷

趙林城 趙林城

1966年畢業於中國科學技術大學數學系;

1982年5月獲中國科學技術大學授予的理學博士學位,導師是陳希孺院士,之後留校工作;

1988年晉升為教授,1990年任博士生導師。

1994年被選為國際統計學會(ISI)成員。

曾任中國機率統計學會常務理事,國際核心期刊“Statistica Sinica”副主編,“Statistics”、《套用數學學報》和《套用機率統計》雜誌編委。

曾先後三次應著名統計學家P. R. Krishnaiah教授和C. R. Rao教授的邀請,到美國匹茨堡大學和賓州州立大學進行長達四年半的合作研究,應邀訪問過美、加多所著名大學, 並三次訪問台灣中央研究院統計研究所,以及巴西利亞大學數學系,香港中文大學統計系等。

研究方向

他的主要研究領域包括非參數統計、回歸分析、多元分析、信號處理以及機率論的極限理論等方面。

長期從事機率論與數理統計教學與理論研究,主要研究領域包括非參數統計,線性模型,回歸分析,多元分析, 信號處理。

主要貢獻

在“Annals of Statistics”,“Annals of Probability”,“Journal of Multivariate Anal¬ysis”,“IEEE Trans. ASSP” 以及《中國科學》等國內外學術刊物上發表論文160篇,出版專著兩本,培養博士10人,碩士18人。

趙林城 趙林城

參加過國家自然科學基金八五、九五兩個重點項目,多次主持國家自然科學基金和教育部博士點基金研究項目. 和合作者在信號數目檢測的隨機效應模型中,提出了模型選擇的一個新準則(見JMA, 1986, Vol.20,1-25及26-49), 已得到SCI的120多個引用以及美國物理科學技術百科全書的引用,在U-統計量,密度估計,非參數回歸等方面的工作,得到了美國統計科學百科全書及若干專著和文章的多次引用. 與陳希孺院士合作。

他在建立信號數目檢測的隨機效應模型的研究工作中,在著名的AIC等準則的基礎上,提出了模型選擇的一個新的一般性準則,有關結果已為美國《物理科學和技術百科全書》(1987)所引用,單篇得到SCI記錄的130個引用,其中關於罰函式的思想和形式已為許多作者接受和採用。

專著

1. 陳希孺,陳桂景,吳啟光,趙林城 (1985). 線性模型參數的估計理論. 科學出版社.

2. 陳希孺,趙林城 (1996). 線性模型中的 M 方法. 上海科學技術出版社.

論文

[1] Zhao Lincheng (1981). On convergence rates of U-statistics.

Science Exploration, Vol. 1, No.1,89--94 (in Chinese).

[2] Zhao Lincheng (1981). Empirical Bayes estimation with convergence rates

about a class of discrete distribution families.

Journal of Math. Research and Exposition, Vol. 1, 59--69 (in Chinese).

[3] Zhao Lincheng. Necessary and sufficient conditions for the strong consistency

of the estimate of error variance in linear models.

Scientia Sinica, Vol.11 (1981), No. 10, 1187-1191 (in Chinese),

Vol. 25 (1982), No. 5, 449--454 (in English).

[4] Lu Kuliang and Zhao Lincheng (1982). UMVUE of two-side truncation parameters.

Acta Mathematicae Applicatae Sinica, Vol. 5, 177--185 (in Chinese).

[5] Bai Zhidong and Zhao Lincheng (1982). Berry-Esseen bounds for error variance estimates

in linear models. Journal of China University of Science and Techology,

Vol.12, No. 3, 6--15 (in Chinese).

[6] Zhao Lincheng and Chen Xiru. Non-uniform convergence rates for distributions

of error variance estimates in linear models. Scientia Sinica, Ser. A,

Vol. 12 (1982), NO. 5, 408--420 (in Chinese), .

Vol.25 (1982), No. 10, 1042-1055 (in English).

[7] Zhao Lincheng (1982). Edgeworth expansion for the estimation of error

variance of linear models. Acta Mathematica Sinica, Vol. 25,

680--697 (in Chinese).

[8] Zhao Lincheng and Chen Xiru. Non-uniform convergence rates for

distributions of U-statistics. Scientia Sinica, Ser. A, Vol. 12

(1982), No. 12, 1066--1078 (in Chinese). Vol. 26 (1983), No. 8, 795--810

(in English).

[9] Zhao Lincheng (1983). Sequential estimation of error variance of linear

models and its asymptotic behavior. Acta Mathematica Sinica,

Vol. 25, 15--28 (in Chinese).

[10] Zhao Lincheng (1983). Rates of a. s. convergence of the estimation of

error variance in linear models. Chinese Annals of Mathematics,

Ser. B, Vol. 4, No. 1, 95--103 (in English).

[11] Bai Zhidong, Zhao Lincheng and Chen Xiru (1983). Convergence rates of

the estimation of error variance in linear models. J. Math. Research

and Exposition, Vol. 3, 69--82 (in English).

[12] Miao Baiqi and Zhao Lincheng. A property of stable laws. Kexue

Tongbao, Vol. 28 (1983), 1453--1456 (in English).

[13] Zhao Lincheng (1983). The rate of the normal approximation for a

Studentized U-statistic. Science Exploration, Vol. 3, No. 2, 45--52 (in English).

[14] Zhao Lincheng (1983). Non-uniform bounds for U-statistics.

Chinese Annals of Mathematics, Ser. A, Vol. 4, No. 6, 699-706

(in Chinese).

[15] Zhao Lincheng and Bai Zhidong. Non-uniform bounds for normal

approximation of error variance estimates in linear models.

Scientia Sinica, Ser. A, Vol. 13 (1983), No. 10, 902--912

(in Chinese), Vol. 28 (1985), No. 4, 23-34 (in English).

[16] Chen Guijing, Wu Qiguang and Zhao Lincheng (1983). Some theoretical

results of Chinese mathematical statistics in the recent five

years (1). J. Math. Research and Exposition, Vol. 3,

No. 4, 109--120 (in Chinese).

[17] Zhao Lincheng and Bai Zhidong (1984). Convergence rates of error

variance estimates in linear models. Chinese Annals of Mathematics, Ser. A,

Vol. 5, No. 1, 27--32 (in Chinese).

[18] Zhao Lincheng and Bai Zhidong. Strong consistency of nearest

neighbor estimates of nonparametric regression functions. Scientia

Sinica, Ser. A, Vol. 14 (1984), No. 5, 387--393 (in Chinese), Vol. 27

(1984), No. 10, 1027--1034 (in English).

[19] Zhao Lincheng (1984). Convergence rates for the distributions of the

Studentized error variance estimates in linear models. Acta

Mathematica Sinica, Vol. 27, 381--393 (in Chinese).

[20] Zhao Lincheng (1984). Uniform convergence rates of the strong

consistency of the Kernel estimates of density functions.

Acta Mathematicae Applicatae Sinica, Vol. 7, 334--339 (in Chinese).

[21] Yang Zhenhai and Zhao Lincheng (1984). Uniform strong convergence rate

of nearest neighbor density estimation. Chinese Annals of

Mathematics, Ser. B, Vol. 5, No. 3, 325--332 (in English).

[22] Ke An (The actual writers:Chen Xiru, Chen Guijing and

Zhao Lincheng). Contributions to the theory of nonparametric

regression, discrimination and prediction. Science Exploration,

Vol. 4 (1984), No. 2, 53--62 (in English).

[23] Su Chun and Zhao Lincheng (1984). The necessary and sufficient

conditions for convergence of the uniform remainder term series of error

variance estimate. Acta Mathematia Sinica, Vol. 27, NO. 6,

844--854 (in Chinese).

[24] Cheng Ping and Zhao Lincheng. Strong consistency of the improved

nearest neighbor estimates of regression function. Kexue Tongbao,

1985, Vol. 30, No. 1, 10--14 (in Chinese).

[25] Zhao Lincheng and Chen Xiru. Berry-Esseen bounds for finite-population

U-statistics. Scientia Sinica, Ser. A, Vol. 15 (1985), No. 2,

123-135 (in Chinese), Vol. 30 (1987), No. 2, 113--127 (in English).

[26] Fang Zhaoben and Zhao Lincheng (1985). Strong consistency of

nonparametric regression estimates. Acta Mathematicae Applicatae

Sinica, Vol. 8, No. 3, 268--276 (in English)

[27] Zhao Lincheng and Liu Zhijun (1985). Strong consistency of the kernel

estimators of conditional desity functions. Acta Math. Sinica,

New Series, Vol. 1, No. 4, 314--318 (in English).

[28] Zhao Lincheng (1985). Weak invariance principle for finite-population

U-statistics. Acta Math. Appl. Sinica, Vol. 2, No. 4,

281--290 (in English).

[29] Zhao Lincheng and Fang Zhaoben (1985). Strong convergence of kernel

estimates of nonparametric regression functions. Chinese Ann. Math., Ser. B,

Vol. 6, No. 2, 147--155 (in English).

[30] Bai Zhidong and Zhao Lincheng. Edgeworth expansions of distribution

functions of independent random variables. Scientia Sinica, Ser. A,

Vol. 15 (1985), No. 8, 677-697 (in Chinese), Vol. 29 (1986), No. 1,

1--22 (in English).

[31] Zhao Lincheng (1986). Bootstrapping the error variance estimates in

linear models. Acta Math. Sinica, Vol. 29, No.1, 36--45

(in Chinese).

[32] Zhao Lincheng and Su Chun (1986). The rate of strong convergence of

nearest neighbor estimates of nonparametric regression functions.

Acta Math. Sinica, Vol. 29, No. 1, 63--69 (in Chinese).

[33] Zhao Lincheng. Two-stage sampling procedure for density estimation.

J. Math. Research and Exposition, Vol. 6 (1986), No. 2, 125-131

(in Chinese), 1986, No. 2, 96--103 (in English).

[34] Chen Xiru and Zhao Lincheng (1986). The optimal rate of convergence of

error for KNN median regression estimates. Chinese Ann. Math.,

Ser. B, Vol. 7, No. 3, 129--138 (in English).

[35] Zhao Lincheng (1986). On universal consistency of nonparametric

regression estimates. Chinese Journal of Applied probability and

Statistics, Vol. 2, No. 1, 71--73 (in Chinese).

[36] Zhao, L. C., Krishnaiah, P. R. and Bai, Z. D. (1986). On detection of

the number of signals in presence of white noise. J. Multivariate

Analysis, Vol. 20, No. 1, 1--25.

[37] Zhao, L. C., Krishnaiah, P. R. and Bai, Z. D. (1986). On detection of

the number of signals when the noise covariance matrix is arbitrary. J.

Multivariate Analysis, Vol. 20, No. 1, 26--49.

[38] Chen, X. R. and Zhao, L. C. (1987). Almost sure $L_1$-norm convergences

for data-based histogram density estimates.

J. Multivariate Analysis, Vol. 21, No. 1, 179--188.

[39] Zhao, L. C., Krishnaiah, P. R. and Bai, Z. D. (1987). Remarks on certain

criteria for detection of number of signals. IEEE Trans. Acoustics

Speech Signal Process., ASSP-35, No. 2, 129--132.

[40] Zhao, L. C. (1987). Exponential bounds of mean error for the nearest

neighbor estimates of regression functions. J. Multivariate

Analysis, Vol. 21, No. 1, 168--178.

[41] Zhao Lincheng (1987). $L_1$-norm strong consistency of data-based density

estimaion. Chinese Journal of Applied probability and Statistics,

Vol. 3, No. 1, 46--50 (in Chinese).

[42] Bai, Z. D., Krishnaiah, P. R. and Zhao, L. C. Simultanuous estimation

of the number and frequencies of signals in multisinusoid model.

Proc. ICASSP, 1987, pp. 1308--1311.

[43] Bai Zhi-dong, Chen Xi-ru and Zhao Lin-cheng (1987). $L_r$-norm

consistency of density estimates. Sino-American Statistical Meeting,

Contributed Papers, 9--12.

[44] Bai Zhidong and Zhao Lincheng. Scientific Progress, Mathematics,

Theory of Probability. Science Yearbook, 1985, 3.13--3.15.

Editorial Dept. of Nature Journal, Shanghai Translation Publisher,

Shanghai, 1987 (in Chinese).

[45] Zhao Lincheng and Bai Zhidong. Scientific Progress, Mathematics,

Mathematical Statistics. Science Yearbook, 1985, 3.16--3.18.

Editorial Dept. of Nature Journal, Shanghai Translation Publisher,

Shanghai, 1987 (in Chinese).

[46] Zhao Lincheng (1988). An inequality concerning the deviation between

theoretical and empirical distributions. Chinese Ann. Math.,

Ser. B, Vol. 9, No. 2, 189--195 (in English).

[47] Zhao Lincheng (1988). On unbiasedness of probability density function.

J. China Univ. of Science and Technology, Vol. 18,

No. 2, 145--149 (in Chinese).

[48] Bai, Z. D., Krishnaiah, P. R. and Zhao, L. C. (1988). Multivariate

components of covariance model in unbalanced case. Commun.

Statist.-Theory Meth., Vol. 17, No. 4, 1311--1324.

[49] Bai, Z. D., Rao, C. R. and Zhao, L. C. (1988). Kernel estimators of

density function of directional data. J. Multivariate Anal.,

Vol. 27, No. 1, 24--39.

[50] Bai, Z. D., Subramanyam, K. and Zhao, L. C. (1988). On detection of

the order of an autoregressive model. J. Multivariate Anal.,

Vol. 27, No. 1, 40--52.

[51] Miao, B. Q. and Zhao, L. C. (1988). Detection of change points using

rank methods. Commun. Statist.-Theory Meth., Vol. 17, No. 9,

3207--3217.

[52] Zhao Lincheng (1988). Some applications of the model selection

techniques to multivariate statistics. Math. Statist. and Appl.

Probability, Vol. 3, No. 3, 372--379 (in Chinese).

[53] Miao Baiqi and Zhao Lincheng (1989). Non-uniform bounds of normal

approximation for finite-population U-statistics (1). J. China

Univ. of Science and Technology, Vol. 19, No. 1, 25--37.

[54] Miao Baiqi and Zhao Lincheng (1989). Non-uniform bounds of normal

approximation for finite-population U-statsitics (2). J. China

Univ. of Science and Technology, Vol. 19, No. 2, 147--156.

[55] Bai, Z. D., Krishnaiah, P. R., Rao, C. R., Sun, Y. N. and Zhao, L. C.

(1989). Reconstruction of the shape and size of objects from two

orthogonal projections. Math. Comput. Modelling, Vol. 12,

No. 3, 267--275.

[56] Zhao, L. C. (1989). Exponential bounds of mean error for the kernel

estimates of regression functions. J. Multivariate Anal., Vol. 29,

No. 2, 260--273.

[57] Taniguchi, M., Zhao, L. C., Krishnaiah, P. R. and Bai, Z. D. (1989).

Statistical analysis of dyadic stationary processes. Ann. Inst.

Statist. Math., Vol. 41, No. 2, 205--225.

[58] Bai, Z. D., Krishnaiah, P. R. and Zhao, L. C. (1989). On rates of

convergence of efficient detection criteria in signal processing with

white noise. IEEE Transactions on Information Theory, Vol. 35, No. 2, 380--388.

[59] Bai, Z. D., Krishnaiah, P. R., Rao, C. R., Reddy, P. S., Sun, Y. N.

and Zhao, L. C. (1989). Reconstruction of the left ventricle from two

orthogonal projections. Computer Vision, Graphics and Image

Processing, Vol. 47, 165--188.

[60] Chen, X. R., Bai, Z. D., Zhao, L. C. and Wu, Y. H. Asymptotic normality

of minimum $L_1$-norm estimates in linear models. Chinese Science,

Ser. A, Chinese Ed., Vol. 20 (1990), No. 5, 449-463; English Ed., Vol. 33

(1990), No. 11, 1311--1328.

[61] Chen, X. R. and Zhao, L. C. (1990). Necessary and sufficient conditions

for the convergence of integrated and mean-integrated r-th order error of

histogram density estimates. Acta. Mathematia Sinica, New Ser.

Vol.6, No. 2, 178--188.

[62] Krishnaiah, P. R., Miao, B. Q. and Zhao, L. C. (1990). Local likelihood

method in the problems related to change points. Chinese Ann. Math.,

Ser. B, Vol. 11, No. 3, 363--375.

[63] Zhao, Lincheng and Chen, Xiru (1990). Normal approximation for

finite-population U-statistics. Acta Math. Appl. Sinica, Vol. 6,

No. 3, 263--272.

[64] Zhao, L. C., Krishnaiah, P. R. and Chen, X. R. (1990). Almost sure

$L_r$-norm convergence for data-based histogram density estimates.

Theory probab. Appl., Vol. 35, No. 2, 391--397.

[65] Bai, Zhidong, Krishnaiah, P. R. and Zhao, Lincheng. (1991). Variable

selection in logistic regression. J. China Univ. of Science and

Technology, Vol. 21, No. 2, 137--145.

[66] Bai, Z. D., Chen, X. R., Krishnaiah, P. R., Wu, Y. H. and Zhao, L. C.

(1991). Strong consistency of maximum likelihood parameter estimation

of superimposed exponential signals in noise. Theory probab. Appl.,

Vol. 36, No. 2, 392--397.

[67] Zhao, Lincheng, Rao, C. R. and Chen, Xiru. Sufficient condition

on the consistency of M-estimates in linear models. The Fourth

China-Japan Symposium on Statistis, 1991. Kunming, 487--490.

[68] Zhao, L. C. and Chen, X. R. (1991). Asymptotic behavior of M-test

statistics in linear models. J. Combin. lnform. System Sci.,

Vol. 16, No. 2-3, 234--248.

[69] Rao, C. Radhakrishna and Zhao, L. C. (1992). Linear representation of

M-estimates in linear models. Canadian. J. Statistics, Vol. 20,

359--368.

[70] Rao, C. Radhakrishna and Zhao, L. C. (1992). On the consistency of

M-estimate in a linear model obtained through an estimating equation.

Statist. probab. Letters, Vol. 14, 79--84.

[71] Rao, C. Radhakrishna and Zhao, L. C. (1992). Approximation to the

distributions of M-estimates in linear models by randomly weighted

bootstrap. Sankhya, Ser. A, Vol. 54, 323--331.

[72] Zhao, Lincheng (1992). On jackknifing the sample median. Probability

and Statistics: Proceedings of the Special Program at Nankai

Institute of Math. (August 1988 - May, 1989), Ed. Jiang Ze-Pei et al.

World Scientific, Singapore, pp. 270--282.

[73] Chen, X. R., Bai, Z. D., Zhao, L. C. and Wu, Y. H. (1992). Consistency

of minimum $L_1$-norm estimates in linear models. The Development of

Statistics: Recent Contributions from China, Ed. Chen, X. R, Fang, K. T.

and Yang, C. C. Longman Scientific and Technical, Essex, England,

pp. 249--260.

[74] Chen, G. J. and Zhao, L. C. (1992). Some contributions of Chinese

statisticians to the asymptotic theoery of inferences in linear models.

ibid. pp. 63--78.

[75] Zhao, L. C. and Chai, G. X. (1992). Survey of Chinese work on

nonprametric density estimation, regression and discrimination. ibid.

pp. 199--217.

[76] Bai, Z. D., Krishnaiah, P.R., Sambamoorthi, N. and Zhao, L. C.

Model selection for Log-linear models. Sankhya, Ser. B

Vol. 54 (1992), 200--219.

[77] 高集體, 趙林城 (1992). 部分線性模型中的自適應估計. 中國科學,

A 輯, 22 卷, 第 8 期, 791-803.

[78] Chen, X. R., Zhao, L. C. and Wu, Y. H. (1993). On conditions

of consistency of M$L_1$N estimates. Statistica Sinica,

Vol. 3, 9--18.

[79] Bai, Z. D., Rao, C. Radhakrishna and Zhao, L. C. (1993). MANOVA type

tests under a convex discrepancy for the standard multivariate linear

model. J. Statistical Planning and Inference, Vol. 36, 77--90.

[80] Zhao, L. C., Rao, C. Radhakrishna and Chen, X. R. (1993). A note on the

consistency of M-estimates in linear models. Stochastic Processes

(ed. Cambanis, S. et al.). Springer-Verlag, New York, pp. 359--367.

[81] Rao, C. Radhakrishna and Zhao, L. C. (1993). Asymptotic behavior of

maximum likelihood estimates of superimposed exponential signals.

IEEE Transaction on Signal processing, Vol. 41, 1461--1464.

[82] Rao, C. Radhakrishna, Zhang, Lu and Zhao, L. C. (1993). Multiple target

angle tracking using sensor array outputs. IEEE Transactions on

Aerospace and Electronic Systems, Vol. 29, 268--271.

[83] Rao, C. R., Zhang, Lu and Zhao, L. C. (1993). New algorithm for

multitarget angle tracking. IEE Proceedings-F, Vol. 140, No. 5,

335--338.

[84] Rao, C. R. and Zhao, L. C. (1993). Asymptotic normality of LAD

estimator in censored regression models. Math. Methods of

Statistics, Vol.2, No. 3, 228--239.

[85] Fu, J. C., Li, Gang and Zhao, L. C. (1993). On large deviation

expansion of distribution of maximum likelihood estimator and

its application in large sample estimation. Ann. Inst. Statist.

Math., Vol. 45, No. 3, 477--493.

[86] Miao, B. Q. and Zhao, L. C. (1993). On detection of change points

when the number is unknown. Chin. J. Appl. Probab. Statist.,

Vol. 9, 138--145.

[87] Miao, B. Q. and Zhao, L. C. and Krishnaiah, P. R. (1993).

On detection of change points using mean vectors. Acta Mathematicae

Applicatae Sinica, Vol. 9, No. 3, 193--203.

[88] Rao, C. R. Zhao, L. C. and Zhou, B. (1993), A novel algorithm for

2-dimensional frequency estimation. Conference Record of the

Twenty-Seventh Asilomar Conference on Signals, Systems & Computers,

Ed. Singh, A., IEEE Computer Society Press, Los Alamitos, California.

Vol. 1 of 2, 199--202.

[89] Rao, C. R. Zhang, L. and Zhao, L. C. (1994). Multitarget angle tracking:

an algorithm for data association. IEEE Trans. Signal Processing,

Vol. 42, No. 2, 459--462.

[90] Rao, C. R. and Zhao, L. C. (1994). Berry-Esseen bounds for

finite-popilation t-statistics. Statist. Probab. Letters,

Vol. 21, 409--416.

[91] Bai, Z. D., Chen, X. R., Krishnaiah, P. R. and Zhao, L. C. (1994).

Asymptotic properties of EVLP estimation for superimposed exponential

signals in noise. Chin. J. Applied Probab. Statist., Vol. 10,

No. 2, 146--163.

[92] Gao, J. T., Chen, X. R. and Zhao, L. C. (1994). Asymptotic normality

of a class of estimators in partial linear models. Acta Mathematica

Sinica, Vol. 37, No. 2, 256--268 (in Chinese).

[93] Rao, C. R., Zhao, L. C. and Zhou, Bin. (1994). Maximum likelihood

estimation of 2-D superimposed exponential signals. IEEE Trans.

Signal Processing, Vol. 42, No. 7, 1795--1802.

[94] Chen, X. R. and Zhao, L. C. (1995). Strong consistency of M-estimates

of multiple regression coefficients. Systems Science and Mathematical

Sciences, Vol. 8, No. 1, 82--87.

[95] Rao, C. R. and Zhao, L. C. (1995). Convergence theorems for empirical

cumulative quantile regression functions. Mathematical Methods of

Statistics, Vol. 4, No. 1, 81--91.

Correction. Math. Meth. Statist., Vol. 4, No. 3, p. 359.

[96] Rao, C. R. and Zhao, L. C. (1995). Recent contributions to censored

regression models. Metrika, Vol. 42, 203--213.

[97] Rao, C. R. and Zhao, L. C. (1995). Strassen law of the iterated

logarithm for the Lorenz curves. J. Multivariate Analysis,

Vol. 54, No. 2, 239--252.

[98] Chen, X. R., Wu, Y. and Zhao, L. C. (1995). A necessary condition

for the consistency of $L_1$ estimates in linear models.

Sankhya, Ser. A, Vol. 57, 384--392.

[99] Rao, C. R. and Zhao, L. C. (1996). Law of the iterated logarithm for

empirical cumulative quantile regression functions. Statisica Sinica,

Vol. 6, 693--702.

[100] Su Chun, Zhao Lincheng and Wang Yuebao. Moment inequalities and Weak

convergence for negatively associated sequences. Science in China,

Ser. A, Chinese Ed. Vol. 26 (1996), No. 12, 1091--1099; English Ed.,

Vol. 40 (1997), No. 2, 172--182.

[101] Chao Cher-Ching, Zhao Lincheng and Ling Wen-Qi (1996). Estimating the

error of a permutational central limit theorem. Probab. Engineer.

Inform. Sciences, Vol. 10, 533-541.

[102] Chen Xiru, Wu Yuehua and Zhao Lincheng (1996). A necessary condition for

the considtency of LAD estimate. Acta Mathematica Sinica, New Ser.,

Vol. 12, 292-297.

[103] Rao, C. R. and Zhao, L. C. (1997). A limiting distribution theorem.

Festschrift for Lucien Le Cam: Research Papers in Probability and

Statistics, Ed. Pollard, D., Torgersen, E. and Yang, G. L.

Springer-Verlag, New York, 325--335.

[104] Zhao Lincheng, Bai Zhidong, Chao Chern-Ching and Liang Wen-Qi (1997).

Error bound in a central limit theorem of double-indexed permutation

statistics. Ann. Statist., Vol. 25, No.5, 2210-2227.

[105] 秦永松,趙林城 (1997). 兩總體分位數差異的經驗似然比置信區間。數學年刊,

18A,687-694。

[106] 秦永松,趙林城 (1998). 兩樣本分位數差異的半經驗似然比檢驗。套用數學學報,

Vol. 21, 103-112.

[107] 吳耀華,趙林城 (1998). 線性模型隨機加權自助法的漸近有效性. 科學通報,

Vol. 43, 586-588. 英文版, Vol. 43, 711-713.

[108] 秦永松,趙林城 (1998). 有偏模型中一類統計泛函的經驗似然比估計及其漸近

性質. 套用數學學報,Vol. 21, 428-436.

[109] Miao, B. Q., Wu, Y. and Zhao, L. C. (1998). On strong consistency of a

2-dimensional frequency estimation algorithm. Statistica Sinica,

Vol. 8, 559-570.

[110] 吳耀華,趙林城 (1999). 線性模型中隨機加權自助法的大樣本研究. 中國科學,

A輯,Vol. 29, 616-624. 英文版, Ser. A, Vol. 42, 1066-1074.

[111] Bai, Z. D., Rao, C. R., Wu, Y., Zen, M. M. and Zhao, L. C. (1999).

The simultaneous estimation of the number of signals and frequencies of

multiple sinusoids when some observations are missing: I. Asymptotics.

Proc. Natl. Acad. Sci. USA, Vol.96, 11106-11110.

[112] Dorea, C. C. Y. and Zhao, L. C.(1999). Convergence of a random algorithm

for function optimization. Numerical Functional Analysis and

Optimization, Vol. 20, 825-833.

[113] Qin Yongsong and Zhao Lincheng (2000). Empirical likelihood ratio

confidence intervals for various differences of two populations.

System Science and Mathematical Sciences, Vol. 13, 23-30.

[114] 趙林城,王小明,吳耀華 (2000). 可加模型中低維分量近鄰估計的強相合性.

中國科學技術大學學報, Vol. 30, 1-9.

[115] Zhao, L. C. (2000). Some contributions to M-estimation in linear models.

J. Statist. Planning and Inference, Vol. 88, 189-203.

[116] Wang, Q. Y., Jing, B. Y. and Zhao, L. C. (2000). The Berry-Esseen

bound for Studentized statistics. Ann. Probability, Vol. 28, No. 1, 511-535.

[117] Wang Xiaoming, Zhao Lincheng and Wu Yaohua (2000). Distribution free laws

of the iterated logarithm for kernel estimator of regression function based

on directional data. Chin. Ann. of Math., Ser. B, Vol. 21, No. 4, 489-498.

[118] Zhao Lincheng and Wu Chengqing (2001). Central limit theorem for integrated

square error of kernel estimators of spherical density. Science in China,

Ser. A, Vol. 31, No. 1, 18-27(Chinese Edition); Vol. 44, No. 4, 474-483(English

Edition).

[119] Zhao L. C. and Zhang H. (2001). A Central Limit Theorem for Testing

Exponentiality, Communications in Statistics: Theory and Methods,

Vol. 30, No. 6, 1163-1170.

[120] Zhao Lincheng, Wang Xuena and Wu Yaohua (2001). Inference on the rank of the growth

curve model using model selection method. Journal of Systems Science and

Complexity, Vol. 14, No.2, 218-224.

[121] 王小明,趙林城(2001). 方向數據密度函式核估計的重對數律. 系統科學與數學,

Vol. 21 (2001), No. 3, 264-273.

[122] Zhao, L. C., Dorea, C. C. Y. and Gon\c{calves, C. R. (2001). On determination of

the order of a Markov chain. Statist. Infer. for Stochastic Processes,

Vol. 4, 273-282.

[123] Zhao Lincheng, Peng Limin and Wu Yaohua (2001). Model selection for canonical

correlation analysis. Acta Math. Applicatae Sinica, Vol.17, 539-549.

[124] Chengqing Wu and Lincheng Zhao(2001). Limit Theorem for Integrated

Square Error of Orthogonal Series Density Estimators.

Journal of USTC, Vol. 31, No.4, 407-411.

[125] Dorea, C. C. Y. and Zhao, L. C. (2002). Nonparametric density estimation in

hidden Markov models. Statist. Infer. for Stochastic Processes,

Vol. 5, 55-64.

[126] 吳成慶,趙林城 (2002). 馬可夫鏈中密度函式核估計積分絕對偏差的指數界.

中國統計學報,Vol. 40, N0. 2, 215-218.

[127] Chen Chun and Zhao Lincheng (2002). Detection of the rank of regression

coefficient matrix by M-method. Chin. J. Applied Probab. Statist.,

Vol. 18, N0. 1, 43-50.

[128] Lincheng Zhao and Guoqing Diao (2002). Strong convergence of modified

partitioning estimates of nonparametric regression functions.

Chin. J. Applied Probab. Statist.,Vol. 18, No. 2, 192-196.

[129] Zhao Lincheng (2002). Strong consistency of M-estimates in linear models.

Science in China, Ser. A, Vol. 45, No.11, 1420-1427.

[130] Lincheng Zhao and Limin Peng (2002). Model selection under order restriction.

Statistics & Probability Letters, Vol. 57, 301-306.

[131] Wu, C. Q., Zhao, L. C. and Wu, Y. H. (2003). Estimation in change-point

hazard function models.

Statistics & Probability Letters, Vol. 63, 41-48.

[132] Zhao Lincheng and Zhang Hong (2003). Model selection for log-linear models

of contingency tables. J. Systems Science and Complexity, Vol.16, No.2, 249-259.

[133] 繆柏其, 趙林城, 譚智平(2003). 關於變點個數及位置的檢測和估計. 套用數學學報,

Vol. 26, No. 1, 26-39.

[134] Zhao Lincheng and Xu Jinfeng (2003). Weak convergence of weighted

empirical cumulative quantile regression functions.

Chin. J. Applied Probab. Statist., Vol. 19, No. 2, 161-166.

[135] 王小明, 趙林城 (2003). 方向數據密度核估計的對數律. 數學學報,

Vol. 46, No. 5, 865-874.

[136] Zhao, L. C. (2004). Linear hypothesis testing in censored regression models.

Statistica Sinica, Vol. 14, No. 1, 333-347.

[137] Zhao, L. C., Wu, C. Q. and Wang, Q. (2004). Berry-Esseen bound

for a sample sum from a finite set of independent random variables.

J. Theoret. Probab. Vol. 17, No. 3, 557-572.

[138] Zhao Lincheng and Fang Yixin (2004). Random weighting method f

or censored regression model.

J. Systems Science and Complexity, Vol. 17, No.2, 262-270.

[139] Zhang Hong and Zhao Lincheng (2004). Testing association for a quantitative trait locus

using discordant sibship data.

Chin. J. Applied Probab. Statist., Vol. 20, No. 3, 234-248.

[140] Wang Qinghua, Wu Chengqing and Zhao Lincheng (2004). Asymptotic probability

of model selection in the logistic regression model.

Chin. J. Applied Probab. Statist., Vol. 20, No. 4, 441-445.

[141] 趙林城, 尹長明(2005). 廣義線性模型中極大擬似然估計的強相合性.

中國科學A輯: 數學, Vol. 35, No. 3, 312-317;

Yin Changming and Zhao Lincheng (2005). Strong consistency

of maximum quasi-likelihood estimates

in generalized linear models. Science in China, Ser. A,

Mathematics, Vol. 48, No. 8, 1009-1014 (English Ed.).

[142] Fang Yixin, Jin Man and Zhao Lincheng (2005). Strong convergence of LAD estimates in a

censored regression model. Science in China, Ser. A, Mathematics,

Vol. 48, No. 2, 155-168.

[143] Man Jin, Yixing Fang and Lincheng Zhao (2005). Variable selection in generalized linear

models with canonical link functions. Statistics & Probability Letters,

Vol. 71, 371-382.

[144] Jin Man, Fang Yixin and Zhao Lincheng (2005). Variable selection for censored regression

models. Chin. J. Applied Probab. Statist., Vol. 21, No. 2, 141-149.

[145] 尹長明, 趙林城 (2005). 廣義線性模型極大似然估計的強相合性與漸近正態性.

套用機率統計, Vol. 21, No. 3, 249-260.

[146] 尹長明, 趙林城 (2005). 廣義線性模型中極大擬似然估計的漸近正態性與強相合性.

中國科學A輯: 數學, Vol. 35, No. 11,1236-1250.

[147] Cui Wenquan, Zhao Lincheng and Bai Zhidong (2005). On asymptotic joint distributions

of eigenvalues of random matrices which arise from components

of covariance model. J. Systems Science and Complexity, Vol. 18, No.1, 126-134.

(五) 出訪:

2005年3月19-31日, 應邀訪問了Institute for Mathematical Sciences (IMS) ,

National University of Singapore, 參加了Program on

“Semi-parametric Methods for Survival and Longitudinal data”.

July 2002, visiting Institute of Mathematical Sciences and Department of

Statistics, The Chinese University of Hong Kong, at the

invitation of Professor Shing-tung Yau and Professor Jianqing Fan.

2001/ 8,17-19, 在香港大學參加第五屆泛華統計協會國際會議.

April 2001, visiting Institute of Statistical Science, Academia

Sinica, Taipei, Taiwan, at the invitation of Professor Chen-Hsin

Chen.

Oct. 1998- March 1999, visiting Department of Mathematics, University of Brasilia,

at the invitation of Professor C. C. Y. Dorea.

97/8/11—97/8/15, 在瑞士 Neuchatel 大學, 參加基於 $ L_1$-模和有關方法的統計數據分析的

第三次國際會議, The 3rd International Conference on Statistical Data Analysis

Based on the $ L_1$ -norm and Related Methods.

March 1997- May 1997, visiting Institute of Statistical Science, Academia Sinica,

Taipei, Taiwan, at the invitation of Professor C. Z. Wei.

April 1993- June 1993, visiting Institute of Statistical Science, Academia Sinica,

Taipei, Taiwan, at the invitation of Professor M. T. Chao.

Oct. 1992- Feb. 1994, visiting Center for Multivariate Analysis, Penn State University,

at the invitation of Professor C. R. Rao.

Sep. 1990- Aug. 1991, visiting Center for Multivariate Analysis, Penn State University,

at the invitation of Professor C. R. Rao.

July 1985- Aug. 1987, visiting Center for Multivariate Analysis, University of Pittsburgh,

at the invitation of Professor P. R. Krishnaiah.

獲獎記錄

1. 中國科學院科學技術進步獎三等獎:關於統計量的收斂和收斂速度. 1984.

2. 中國科學院自然科學獎二等獎: 若干非參數統計問題的研究.1990年. 陳,趙.

3. 國家自然獎三等獎: 若干非參數統計問題的研究. 1991年. 陳,趙.

4. 1991年被國家教委和國務院學位委員會授予“作出突出貢獻的中國博士學位獲得者”稱號.

5. 中國科學院自然科學獎一等獎: 線性模型大樣本理論的研究. 1998年. 陳,趙.

6. 被授予安徽省有突出貢獻的中青年科學、技術、管理專家稱號. 1996年.

7. 中國科學技術大學教師單項獎—東方通信獎. 1999年.

1991年該項目又獲國家自然科學獎三等獎;

1991年被國家教委和國務院學位委員會授予“做出突出貢獻的中國博士學位獲得者”;

人物評價

當代著名統計學家C. R. Rao 教授在題為“R. A. Fisher: The Founder of Modern Statistics”的文章(Statistical Science, 1992)中,也特別提到趙的工作。他在U-統計量方面的兩項工作,已為美國《統計科學百科全書》(1988)以及若干專著和文章所引用,蘇聯著名學者柯羅廖克等在他們的專著中詳細介紹了這兩個定理的證明,並特別在導言中將其中一項工作作為該領域的一個重要成果作了介紹,他在有限總體U-統計量方面的兩項工作,也得到了上述百科全書的增補本的引用,文中提出的有限總體情形的Hoeffding分解方法,已成為處理有關問題的有效工具,得到了有關作者的高度評價。

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