田国梁
个人主页:http://faculty.sustc.edu.cn/profiles/tiangl
个人简介:
田国梁,南方科技大学统计与数据科学系教授、博士生导师。1988年获得武汉大学统计学硕士学位、1998年获得中国科学院应用数学研究所的统计学博士学位。从1998至2002年, 他分别在北京大学概率统计系和美国田纳西州孟斐斯市的 St. Jude 儿童研究医院生物统计系从事博士后研究, 2002年至2008年他在美国马里兰大学医学院和Marlene and Stewart Greenbaum Comprehensive 癌症中心任 Senior Biostatistician。2008年至2016年他在香港大学统计及精算学系任副教授、博士生导师。田教授是国际统计学会 (ISI) 当选会员, 他担任 Computational Statistics & Data Analysis, Statistics and Its Interface 等四个国际统计学杂志的副主编。他主要的研究领域是生物统计, 计算统计和社会统计。目前的研究方向包括多元零膨胀计数数据分析、斜与非对称连续数据分析, (0, 1) 区间上连续比率数据(以及其推广, 即成份数据)的统计分析, 不完全分类数据分析, 和大维随机矩阵的理论方法及应用。他首次提出的分组 Dirichlet 分布、套Dirichlet 分布和G分布在统计分布领域属于创造性的工作, 在生物统计中具有广泛而重要的应用; 他将非随机化的概念引入到敏感性问题的随机化应答技术中, 发展了一个称之为非随机化应答技术的新研究方向。他首次提出了一个新的组装分解 (assembly-decomposition) 方法用以构造MM算法中的替代函数, 为MM算法在统计学中的广泛应用开辟了新的通道. 2017年他的研究课题“MM算法中的几类问题之研究及其应用”>获得国家自然科学基金面上项目的资助。2018年他(排名第二)与南方科技大学环境科学与工程学院郑焰讲席教授的联合研究课题<<中国北方地下水砷不同尺度空间非均质性驱动机制>> 获得国家自然科学基金重点项目的资助。
研究领域:
生物统计:多元零膨胀计次型数据分析, 斜与非对称连续数据分析, (0, 1) 区间上连续比率数据与成分数据分析
计算统计:EM算法, MM算法
社会统计:敏感性问题的抽样调查
工作经历:
2019.08.22 – 至今, 南方科技大学, 统计与数据科学系, 统计学教授
2016.08.01 – 2019.08.21, 南方科技大学, 数学系, 统计学教授
2008.09.01 – 2016.07.31, 香港大学, 统计与精算学系, 统计学副教授
2002.07.01 – 2008.08.31, 马里兰大学(巴尔的摩市, 马里兰州, 美国)医学院, 流行病学和预防医学系, Instructor
2002.07.01 – 2008.08.31, 马里兰大学Greenbaum Comprehensive 癌症中心, 生物统计学部, Senior Biostatistician
2000.05.01 – 2002.06.30, St. Jude 儿童研究医院 (孟菲斯市, 田纳西州, 美国), 生物统计系, 博士后
1998.09.01 – 2000.04.30, 北京大学, 概率统计系, 博士后
1988.08.01 – 1995.08.31, 航空航天工业部, 中国运载火箭研究院, 702研究所, 助理工程师, 工程师, 高級工程师
教育背景:
1995.9 – 1998.7 中国科学院应用数学研究所 (其中有一年在香港浸会大学数学系), 北京, 统计学专业, 统计学博士
1985.9 – 1988.7 武汉大学, 武汉, 统计学系, 统计学硕士
1981.9 – 1985.7 湖南师范大学, 长沙, 数学系, 理学学士
所获荣誉:
2017 入选深圳市海外高层次人才 "孔雀计划" (B类)
专业学会资格:
2000.5 – 至今 Member, American Statistical Association
2000.5 – 至今 Permanent Member, International Chinese Statistical Association
2014.6 – 至今 Elected member, International Statistical Institute (ISI)
学会与学术服务:
2016.11 – 2020.11 中国现场统计研究会试验设计分会第10届理事会常务理事
2016.11 – 2020.11 中国数学会均匀设计分会第6届理事会常务理事
2018.11 – 2022.11 中国数学会概率统计分会第11届理事会常务理事
2018.11 – 2022.11 全国工业统计学教学研究会常务理事
2018.11 – 2023.11 高等教育出版社 "现代统计学系列丛书" 第2届编委会委员
2019.04 – 2022.04 中国现场统计研究会高维数据统计分会第5届理事会常务理事
2019.11 – 2023.11 广东省本科高校统计类专业教学指导委员会副主任委员
国际统计杂志副主编:
Statistics and Its Interface, 2013 --
Communications in Statistics - Theory and Methods, 2013 --
Communications in Statistics - Simulation and Computation, 2013 --
Computational Statistics and Data Analysis, 2014 --
发表论文:
Statistical Methods in Medical Research [Impact Factor=4.472; Ranking No. 1 in the category of biostatistics, 2014 JCR, ISI Web Knowledge] (6 papers)
Shen X, Ma CX, Yuen KC and Tian GL* (2019). Common risk difference test and interval estimation of risk difference for stratified bilateral correlated data, 28(8), 2418-2438.
Tian GL, JU D,Yuen KC and Zhang C* (2018). New expectation-maximization-type algorithms via stochastic representation for the analysis of truncated normal data with applications in biomedicine, 27(8), 2459-2477.
Tian GL, Zhang C* and Jiang XJ (2018). Valid statistical inference methods for a case-control study with missing data, 27(4), 1001–1023.
Tian GL and Li HQ (2017). A new framework of statistical inferences based on the valid joint sampling distribution of observed counts in an incomplete contingency table, 26(4) 1712–1736.
Tian GL, Tang ML, Wu Q and Liu Y (2017). Poisson and negative binomial item count techniques for surveys with sensitive question, 26(2), 931–947.
Tian GL, Tang ML, Liu ZQ, Tan M and Tang NS (2011). Sample size determination for the non-randomized triangular model for sensitive questions in a survey, 20(3), 159-173.
Statistics in Medicine [Impact Factor=1.825; Ranking No. 3 in the category of biostatistics, 2014 JCR, ISI Web Knowledge] (7 papers)
Pei YB, Tian GL and Tang ML (2014). Testing homogeneity of proportion ratios for stratified correlated bilateral data in two-arm randomize clinical trials, 33(25), 4370-4386.
Tang ML, Ling MH, Ling L and Tian GL (2010). Confidence intervals for a difference between proportions based on paired data, 29(1), 86-96.
Tang ML, Ling MH and Tian GL (2009). Exact and approximate unconditional confidence intervals for proportion difference in the presence of incomplete data, 28, 625-641.
Tian GL, Yu JW, Tang ML and Geng Z (2007). A new non-randomized model for analyzing sensitive questions with binary outcomes, 26(23), 4238-4252.
Fang HB, Tian GL, Xiong XP and Tan M (2006). A multivariate random-effects model with restricted parameters: Application to assessing radiation therapy for brain tumors, 25(11), 1948-1959.
Tan M, Fang HB, Tian GL and Houghton PJ (2005). Repeated-measures models with constrained parameters for incomplete data in tumor xenograft experiments, 24(1), 109-119.
Tan M, Fang HB, Tian GL and Houghton PJ (2003). Experimental design and sample size determination for testing synergism in drug combination studies based on uniform measures, 22(13), 2091-2100.
Biometrics [Impact Factor=1.568; Ranking No. 4 in the category of biostatistics, 2014 JCR, ISI Web Knowledge] (1 paper)
Tan M, Fang HB, Tian GL and Houghton PJ (2002). Small-sample inference for incomplete longitudinal data with truncation and censoring in tumor xenograft models, 58(3), 612-620.
Statistica Sinica (6 papers)
Tian GL, Huang XF* and Xu JF (2019). An assembly and decomposition approach for constructing separable minorizing functions in a class of MM algorithms, 29, 961-982.
Huang XF, Xu JF* and Tian GL (2019). On profile MM algorithms for gamma frailty survival models, 29, 895-916.
Ng KW, Tang ML, Tian GL and Tan M (2009). The nested Dirichlet distribution and incomplete categorical data analysis, 19(1), 251-271.
Tan M, Tian GL, Fang HB and Ng KW (2007). A fast EM algorithm for quadratic optimization subject to convex constraints, 17(3), 945-964.
Tan M, Tian GL and Ng KW (2003). A non-iterative sampling method for computing posteriors in the structure of EM-type algorithms, 13(3), 625-639.
Tian GL, Ng KW and Geng Z (2003). Bayesian computation for contingency tables with incomplete cell-counts, 13(1), 189-206.
一. 得奖 (Awards)
2011 – 2012 Research Output Prize, Faculty of Science of the University of Hong Kong (A monetary award of HK$120,000 for research purposes)
二. 基金 (Grants)
1. Completed in China, USA and HKU
1.1 09/1/1998-08/31/2001, AD19820224, Natural Science Foundation of China. Co-Investigator (30% contribution)
1.2 01/1/1999-12/31/2000, China Postdoctoral Science Foundation. The second class. Principal-Investigator.
1.3 04/1/2004-3/31/2008, R01 CA106767 (PI: Prof Ming TAN), US$890,000, Division of Biostatistics, University of Maryland Greenebaum Cancer Center, Baltimore, Maryland, USA
Title: Design and Analysis of Pre-clinical Combination Studies.
This grant is to develop innovative methods to optimally design and efficiently analyze pre-clinical drug combination therapies in cancer by integrating concepts in modern statistical and number-theoretic methods and pharmacology.
Role: Co-Investigator (15% effort).
1.4 09/30/2005-08/31/2007, R03 CA119758 (PI: Tan M), US$150,000, Division of Biostatistics, University of Maryland Greenebaum Cancer Center,Baltimore, Maryland, USA
Title: Design and Analysis for Cancer Epidemiology Studies.
This grant is to develop innovative statistical methods for addressing the difficult issues of multiplicity in current cancer etiology.
Role: Co-Investigator (35% effort).
1.5 01/AUG/2009-01/JAN/2011, HKU Small Project Funding,
Account Code: 10400566.07227.25900.323.01
Project Code: 2009-0717-6166
Award (HK$): 66,667
Principal Investigator: Professor KW Ng
Co-Investigator: Dr. GL TIAN
Project Title: Further Properties and New Applications for the Family of Nested Dirichlect Distributions
1.6 01/APR/2010-30/SEP/2011, HKU Seed Funding Program for Basic Research,
Account Code: 10400779.40058.25900.301.01
Project Code: 2009-1115-9042
Award (HK$): 120,000
Principal Investigator: Dr. GL TIAN
Project Title: Accelerating the Quadratic Lower-Bound (QLB) Algorithm via Optimizing Shrinkage Parameter
1.7 01/NOV/2010-30/APR/2013 (Two Years and Six Months), Hong Kong RGC – General Research Fund 2010/2011 Exercise Year
Panel: Biology & Medicine
Account Code: 10500172.40058.25900.324.01
Project Code: HKU 779210M
Award (HK$): 605,393 + 50,000
Principal Investigator: Dr. GL TIAN
Project Title: New Non-randomized Response Techniques for Survey with Sensitive Questions in the Epidemiological and Public Studies
1.8 01/APR/2011-30/SEP/2012, HKU Seed Funding Program for Basic Research,
Account Code: 10401511.40058.25900.301.01
Project Code: 2010-1115-9010
Award (HK$): 58,000
Principal Investigator: Dr. GL TIAN
Project Title: A New Feature Selection Method for Generalized Linear Models with Correlated Covariates
1.9 01/MAR/2012-28/FEB/2013, HKU Small Project Funding,
Account Code: 10401944.40058.25900.301.01
Project Code: 2011-0917-6166
Award (HK$): 36,800
Principal Investigator: Dr. GL TIAN
Project Title: Variable Selection via Least Absolute Deviation Regression with a Diverging Number of Parameters
1.10 01/MAR/2013-28/FEB/2014, HKU Small Project Funding,
Account Code: 104002611.040058.25900.301.01
Project Code: 2012-0917-6071
Award (HK$): 69,575
Principal Investigator: Dr. GL TIAN
Project Title: G and Related Distributions with Applications in Reliability Growth Analysis
Final Report Due Date: 28/05/2014
1.11 01/MAY/2014-30/OCT/2015, HKU Small Project Funding,
Account Code: 104002924.040058.25900.301.01
Project Code: 2013-0917-6038
Award (HK$): 64,343
Principal Investigator: Dr. GL TIAN
Project Title: A New MM Algorithm for Constrained Estimation in the Proportional Hazards Model
Final Report Due Date: 28/05/2015
1.12 01/MAR/2015-29/FEB/2016, HKU Small Project Funding,
Account Code: 104003745.040058.25900.301.01
Project Code: 2014-0917-6008
Award (HK$): 59,222
Principal Investigator: Dr. GL TIAN
Project Title: Poisson and Negative Binomial Item Count Techniques for Surveys with Sensitive Question
Final Report Due Date: 29/05/2016
2. On-going in SUSTech
2.1 01/JAN/2018-31/DEC/2021, National Natural Science Foundation of China (No. 11771199), 面上项目
Award (RMB): 480,000
Principal Investigator: Prof. GL TIAN
Project Title: Studies of Several Topics in Minorization-Maximization (MM) Algorithms with Applications
2.2 01/JAN/2019-31/DEC/2023, National Natural Science Foundation of China, Key Item (No. 4183000045), 重点项目
Award (RMB): 3,373,500
Principal Investigator: Prof. Yan ZHENG, 南方科技大学环境科学与工程学院
Co- Investigator: Prof. GL TIAN (Ranking No. 2 out of 15), 总人数15, 排名第二
Project Title: Unraveling the Geological and Hydrogeochemical Factors Controlling the Spatial Heterogeneity of Groundwater Arsenic at Regional and Local Scales (中国北方地下水砷不同尺度空间非均质性驱动机制)
MPhil/PhD Students Supervised at UMBC and UMB
1. Miss Mathangi Gopalakrishnan, MS in Biostatistics, 2007. Secondary Supervisor;
Primary Supervisor: Professor Ming T. TAN (A joint MS biostatistics program between University of Maryland at Baltimore County and University of Maryland at Baltimore).
Thesis Title: Analyzing zero-inflated count data using non-iterative Bayesian sampling.
MPhil/PhD Students Supervised at HKU
2. Miss Huitian XUE, MPhil, 1/01/2010-31/12/2011, Secondary Supervisor;
Primary Supervisor: Professor KW NG.
Thesis Title: Maximum likelihood estimation of parameters with constraints in normal and multinomial distributions
3. Miss Xiqian DING, MPhil, 1/09/2012-30/11/2014, Sole Supervisor.
Thesis Title: Some new statistical methods for a class of zero-truncated discrete distributions with applications
4. Miss Yin LIU, PhD, 1/09/2011-31/08/2015, Sole Supervisor.
Thesis Title: The generalization of the non-randomized parallel model and item count technique in surveys with sensitive questions
5. Mr. Da JU, PhD, 1/09/2012-31/08/2016, Secondary Supervisor; Primary Supervisor: Professor KC YUEN
Thesis Title: Likelihood-based methods for constrained parameter problems
6. Miss Xaolin ZHENG, 1/09/2014-31/08/2016, Primary Supervisor; Secondary Supervisor: Dr. Philip LH YU
Thesis Title: EM and MM algorithms for a class of left-truncated discrete models
7. Miss Chi ZHANG, PhD, 1/11/2013-31/10/2017, Primary Supervisor (1/11/2013-31/07/2016) and Secondary Supervisor (1/08/2016-31/10/2017); Primary Supervisor: Professor KC YUEN (1/08/2016-31/10/2017).
Thesis Title: Incomplete categorical data, inflated count data analyses and robust modeling with applications
8. Miss Xifen HUANG, PhD, 1/11/2014-31/10/2018, Supervisor (1/11/2014-31/07/2016) and Secondary Supervisor (1/08/2016-31/10/2018); Primary Supervisor: Dr JF XU (1/08/2016-31/10/2018).
Thesis Title: A unified minorization-maximization approach for fast and accurate estimation in high-dimensional parametric and semiparametric models
MPhil/PhD Students Supervised at SUSTech
9. Mr. Pengyi LIU, PhD, 1/09/2017-31/08/2021, Primary Supervisor; Joint Primary Supervisor: Professor KC YUEN [A joint PhD program between SUSTech and The University of Hong Kong]
10. Mr. Xiao KE, PhD, 1/09/2017-31/08/2020, Primary Supervisor; Joint Primary Supervisor: Dr. TJ TONG [A joint PhD program between SUSTech and Hong Kong Baptist University]
11. Mr. Ruiwei ZHOU, MPhil, 1/09/2017-31/08/2019, Primary Supervisor [A joint MPhil program between SUSTech and Harbin Institute of Technology (HIT)]
12. Miss Yuan SUN, PhD, 1/09/2018-31/08/2022, Primary Supervisor [A joint MPhil program between SUSTech and HIT]
13. Mr. Jiaxin QIU, MPhil, 1/09/2018-31/08/2020, Primary Supervisor [A joint MPhil program between SUSTech and HIT]
14. Mr. Xuzhi YANG, MPhil, 1/09/2018-31/08/2020, Primary Supervisor [A joint MPhil program between SUSTech and HIT]
15. Miss Caifen LIU, MPhil, 1/09/2019-31/08/2020, Primary Supervisor [A joint MPhil program between SUSTech and HIT]
16. Mr. Xunjian LI, PhD, 1/09/2019-31/08/2023, Primary Supervisor, SUSTech
17. Mr. Xuanyu LIU, MPhil, 1/09/2020-31/08/2022, Primary Supervisor, SUSTech
18. Miss Chaolin TIAN, MPhil, 1/09/2020-31/08/2022, Primary Supervisor, SUSTech
19. Mr. Yonggui ZHOU, MPhil, 1/09/2019-31/08/2021, Primary Supervisor, SUSTech
Teaching at HKU
在香港大学统计与精算学系的教学经历
STAT2802/3902 Statistical Models
STAT3317/6011 Computational Statistics
STAT3304 Computer-aided Statistical Modeling
STAT3331/3621 Statistical Data Analysis
STAT2307 Statistics in Clinical Medicine and Bio-medical Research
STAT7005 Multivariate Methods
在南方科技大学数学系的教学经历
MAT7008/MA413 Advanced Statistics, 2016 Autumn Semester
MA204 Mathematical Statistics, 2017, 2018, 2019 Spring Semester
MAT7035 Computational Statistics, 2017, 2018, 2019 Autumn Semester
· Area 1: Multivariate zero-inflated count data analysis
(10 papers; Current Research Interest)
1. Zhang C, Tian GL, Yuen KC, Wu Q and Li T* (2020). Multivariate zero-and-one inflated Poisson model with applications. Journal of Computational and Applied Mathematics 365, Article: 112356.
2. Liu Y, Tian GL*, Tang ML and Yuen KC (2019). A new multivariate zero-adjusted Poisson model with applications to biomedicine. Biometrical Journal 61, 1340-1370.
3. Tian GL, Ding XQ, Liu Y* and Tang ML (2019). Some new statistical methods for a class of zero-truncated discrete distributions with applications. Computational Statistics 34, 1393-1426.
4. Tian GL, Liu Y*, Tang ML and Jiang XJ (2018). Type I multivariate zero-truncated / adjusted Poisson distributions with applications. Journal of Computational and applied Mathematics, 344, 132-153.
5. Huang XF, Tian GL*, Zhang C and Jiang XJ (2017). Type I multivariate zero-inflated generalized Poisson distribution with applications. Statistics and Its Interface 10(2), 291-311.
6. Zhang C, Tian GL* and Ng KW (2016). Properties of the zero-and-one-inflated Poisson distribution and likelihood-based inference methods. Statistics and Its Interface 9(1), 11-32.
7. Ding XQ, JU D and Tian GL (2015). Multivariate zero-truncated/adjusted Charlier series distributions with applications. Journal of Statistical Distributions and Applications, Volume 2, Article 5, DOI: 10.1186/s40488-015-0029-5, http://www.jsdajournal.com/content/2/1/5
8. Tian GL, Ma HJ, Zhou Y and Deng DL (2015). Generalized endpoint-inflated binomial model. Computational Statistics and Data Analysis 89, 97-114.
9. Zhang C, Tian GL and Huang XF (2015). Two new bivariate zero-inflated generalized Poisson distributions with a flexible correlation structure. Statistics, Optimization and Information Computing 3, 105-137.
10. Liu Y and Tian GL (2015). Type I multivariate zero-inflated Poisson distribution with applications. Computational Statistics and Data Analysis 83, 200-222.
· Area 2: Continuous proportional and compositional data analysis
(1 paper; Current Research Interest)
11. Liu PY, Yuen KC, Wu LC, Tian GL and LI T* (2020). Zero-one-inflated simplex regression models for the analysis of continuous proportion data. Statistics and Its Interface, in press.
· Area 3: Incomplete categorical data analysis and EM/MM algorithms
(30 papers; Current Research Interest)
12. Zhang C, Tang ML, Li T, Sun Y, Tian GL* (2020). A new multivariate Laplace distribution based on the mixture of normal distributions (in Chinese). Sci Sin Math, in press.
13. Tian GL, Liu Y*, Tang ML and Li T (2019). A novel MM algorithm and the mode-sharing method in Bayesian computation for the analysis of general incomplete categorical data. Computational Statistics and Data Analysis 140, 122-143.
14. Shan G, Hutson A, Wilding G, Ma CX and Tian GL (2019). Efficient statistical inference for a parallel study with missing data by using an exact method. Journal of Biopharmaceutical Statistics 29(3), 478-490.
15. Jiang YL, Tian GL and Fei Y* (2019). A robust and efficient estimation method for partially nonlinear models via a new MM algorithm. Statistical Papers, in press.
16. Shen X, Ma CX, Yuen KC and Tian GL* (2019). Common risk difference test and interval estimation of risk difference for stratified bilateral correlated data. Statistical Methods in Medical Research 28(8), 2418-2438.
17. Zhuang TT, Tian GL and Ma CX* (2019). Homogeneity test of ratio of two proportions in stratified bilateral data. Statistics in Biopharmaceutical Research 11(3), 200-209.
19. Tian GL, Huang XF* and Xu JF (2019). An assembly and decomposition approach for constructing separable minorizing functions in a class of MM algorithms. Statistica Sinica 29, 961-982.
20. Zhuang TT, Tian GL and Ma CX* (2019). Confidence intervals for proportion ratios of stratified correlated bilateral data. Journal of Biopharmaceutical Statistics 29(1), 203-225.
21. Li HQ, Tian GL, Tang NS and Cao HY* (2018). Assessing non-inferiority for incomplete paired-data under non-ignorable missing mechanism. Computational Statistics & Data Analysis 127, 69-81.
22. Tian GL, JU D,Yuen KC and Zhang C* (2018). New expectation-maximization-type algorithms via stochastic representation for the analysis of truncated normal data with applications in biomedicine. Statistical Methods in Medical Research 27(8), 2459-2477.
23. Li HQ, Tang NS, Tian GL, Cao HY* (2018). Testing the equality of risk difference among multiple incomplete two-way contingency tables. Statistics and Its Interface 11(2), 353-368.
24. Tian GL, Zhang C* and Jiang XJ (2018). Valid statistical inference methods for a case control study with missing data. Statistical Methods in Medical Research 27(4), 1001–1023.
25. Tian GL and Li HQ* (2017). A new framework of statistical inferences based on the valid joint sampling distribution of observed counts in an incomplete contingency table. Statistical Methods in Medical Research 26(4), 1712–1736.
26. Li HQ*, Tian GL, Jiang XJ and Tang NS (2016). Testing hypothesis for a simple ordering in incomplete contingency tables. Computational Statistics and Data Analysis 99, 25-37.
27. Pei YB, Tian GL and Tang ML (2014). Testing homogeneity of proportion ratios for stratified correlated bilateral data in two-arm randomize clinical trials. Statistics in Medicine 33(25), 4370-4386.
28. Li HQ, Chan ISF, Tang ML, Tian GL and Tang NS (2014). Confidence-interval construction for rate ratio in matched-pair studies with incomplete data. Journal of Biopharmaceutical Statistics 24(3), 546-568.
29. Tang ML, He XJ and Tian GL (2013). A confidence interval approach for comparative studies involving binary outcomes in paired organs. Communication in Statistics: Simulation and Computation 42, 425–453.
30. Tian GL, Tang ML and Liu CL (2012). Accelerating the quadratic lower-bound algorithm via optimizing the shrinkage parameter. Computational Statistics and Data Analysis 56(2), 255-265.
31. Tang ML, Li HQ, Chan ISF and Tian GL (2011). On confidence interval construction for establishing equivalence of two binary-outcome treatments in matched-pair studies in the presence of incomplete data. Statistics in Biosciences 3(2), 223-249.
32. Tang ML, Ling MH, Ling L and Tian GL (2010). Confidence intervals for a difference between proportions based on paired data. Statistics in Medicine 29(1), 86-96.
33. Tian GL, Tang ML, Yuen KC and Ng KW (2010). Further properties and new applications for the nested Dirichlet distribution. Computational Statistics and Data Analysis 54, 394-405.
34. Tang ML, Ling MH and Tian GL (2009). Exact and approximate unconditional confidence intervals for proportion difference in the presence of incomplete data. Statistics in Medicine 28, 625-641.
35. Ng KW, Tang ML, Tian GL and Tan M (2009). The nested Dirichlet distribution and incomplete categorical data analysis. Statistica Sinica 19(1), 251-271.
36. Ng KW, Tang ML, Tan M and Tian GL (2008). Grouped Dirichlet distribution: A new tool for incomplete categorical data analysis. Journal of Multivariate Analysis 99(3), 490-509.
37. Tang ML, Ng KW, Tian GL and Tan M (2007). On improved EM algorithm and confidence interval construction for incomplete r x c tables. Computational Statistics and Data Analysis 51(6), 2919-2933.
38. Tan M, Fang HB, Tian GL and Wei G (2005). Testing multivariate normality in incomplete data of small sample size. Journal of Multivariate Analysis 93, 164-179.
39. Tian GL, Ng KW and Geng Z (2003). Bayesian computation for contingency tables with incomplete cell-counts. Statistica Sinica 13(1), 189-206.
40. Tan M, Fang HB, Tian GL and Houghton PJ (2002). Small-sample inference for incomplete longitudinal data with truncation and censoring in tumor xenograft models. Biometrics 58(3), 612-620.
41. Fang KT, Geng Z and Tian GL (2000). Statistical inference for truncated Dirichlet distribution and its application in misclassification. Biometrical Journal 42(8), 1053-1068.