INTRODUCTION
Since 1990 Hong Kong Baptist University (HKBU) has been steadily
building a research program in quasi-Monte Carlo methods. This
booklet serves to describe our activities and invite collaboration
with like-minded scholars.
[Contents] [Previous]
HISTORY
The roots of our research efforts can be traced back to the eminent
Chinese mathematicians Loo-Keng Hua and Yuan Wang who made significant
contributions to the field of quasi-Monte Carlo or number-theoretic
methods in the 1960s and 1970s. They summarized their results in the
monograph, Applications of Number Theory to Numerical Analysis,
published in 1981. Around that time Yuan Wang and Kai-Tai Fang, both
of the Chinese Academy of Sciences, pioneered the use of quasi-Monte
Carlo methods for design of experiments. They found that experimental
designs based on low discrepancy sets could often lead to an
understanding of the underlying physical process using far fewer
experiments than traditional orthogonal designs. After achieving
success in the field of experimental design Prof. Fang also explored
the use of quasi-Monte Carlo methods to solve other problems in
statistics.
In 1990 Prof. Fang joined the Mathematics Department of Hong Kong
Baptist University and introduced quasi-Monte Carlo methods to the
local community. Prof. Wang also visited HKBU and together with
Prof. Fang authored the monograph Number-Theoretic Methods in
Statistics, published in 1994. Fred Hickernell began collaborating
with Prof. Fang in the early 1990s. In 1992 the University
established the Statistics Research and Consultancy Centre (SRCC), with
Prof. Fang as its director. Much of the research and scholarly
activities of the Centre are related to quasi-Monte Carlo methods.
Our present quasi-Monte Carlo methods team also includes Profs. Fang
and Hickernell, Drs. Yiu-Wing Leung and Gang Wei, visitors, research
assistants, and postgraduate students. Activities are funded by
research grants from the Hong Kong Research Grants Council and Hong
Kong Baptist University.
[Contents] [Previous]
RESEARCH AREAS
At HKBU our research covers several aspects of the theory and
applications of quasi-Monte Carlo methods and related disciplines
including:
- generation of low discrepancy sets, sequences and designs,
- uniform experimental designs,
- designs of computer experiments,
- multivariate integration and approximation,
- optimization,
- computational complexity of integration and approximation,
- statistical inference, and
- computational finance.
Publications arising out of this research appear below.
[Contents] [Previous]
COLLABORATIONS
Our research efforts have benefited substantially from scholars who
have visited us and collaborated with us. They have brought new ideas
and approaches to our research problems, helped us to organize
international conferences, and welcomed our postgraduate students to
visit and work with them. Our collaborators come from all
over the world and include
- Ling-Yau Chan, University of Hong Kong
- Stefan Heinrich, University of Kaiserslautern
- Pierre L'Écuyer, Université de Montréal
- Yi-Zhen Liang, Central South University
- Dennis K.J. Lin, Pennsylvania State University
- Erkki Liski, University of Tampere
- Minqian Liu, Tianjing University
- Changxing Ma, Nankai University
- Rahul Mukerjee, Indian Institute of Management
- Harald Niederreiter, Austrian Academy of Sciences & National University of Singapore
- Art Owen, Stanford University
- Xiaoqun Wang, Tsinghua University
- Yuan Wang, Chinese Academy of Sciences
- Peter Winker, University of Mannheim
- Henryk Wozniakowski, Columbia University & University of Warsaw
- Zhen-Hai Yang, Beijing Polytechnic University
- Rongxian Yue, Shanghai Normal University
[Contents] [Previous]
CONFERENCES ORGANIZED
The Mathematics Department and Statistics Research and Consultancy
Centre have organized and hosted a number of international
conferences related to quasi-Monte Carlo methods. These include
- Workshop on Quasi-Monte Carlo Methods and Their Applications, December 11-13, 1995
- Workshop on Experimental Design, May 24, 1997
- Workshop on the Complexity of Multivariate Problems, October 4-8, 1999
- Symposium on the Theory of Uniform Design and Its Applications, October 26-29, 1999
- Fourth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, November 27 - December 1, 2000
In addition, Profs. Fang and Hickernell have been involved in
organizing other conferences with invited talks or special sessions
devoted to quasi-Monte Carlo methods.
[Contents] [Previous]
POSTGRADUATE STUDENTS
A number of MPhil and PhD students have at HKBU and the Chinese
Academy of Sciences (CAS) have engaged in quasi-Monte Carlo research.
These include:
- Wai-Man Ho, MPhil student, HKBU
- Regina Hong-See Hong, PhD student, HKBU
- Fanglun Huang, PhD student, HKBU
- Jia-Juan Liang, PhD HKBU, 1998
- Jian-Xin Pan, Ph.D HKBU, 1996
- Hong Qin, PhD student, HKBU
- Guo-Liang Tian, PhD CAS, 1998
- Hoi-Lam Wong, MPhil HKBU, 1993
- Jessie Mei-Ning Wong, MPhil student, HKBU
- Min-Yue Xie, PhD HKBU, 1998
- Chiu-Yu Yam, MPhil HKBU, 2000
- Rongxian Yue, PhD HKBU, 1997
[Contents] [Previous]
PUBLICATIONS
The list below includes books, book chapters, articles, and conference
papers related to quasi-Monte Carlo methods. A number of recent
articles have appeared or been accepted to appear in Biometrika,
various IEEE Transactions, the Journal of Complexity,
Mathematics of Computation, the SIAM Journal on Numerical
Analysis, the SIAM Journal on Scientific Computing,
Statistica Sinica, Statistical Sciences, and
Technometrics. Some publications in the list below have been very
influential. For example, according to the Science Citation Index the
monograph Number Theoretic Methods in Statistics has been cited
55 times.
-
K. T. Fang, Experimental design by uniform distribution, Acta Math.
Appl. Sinica 3 (1980), 363-372.
-
Y. Wang and K. T. Fang, A note on uniform distribution and experimental
design, Chinese Sci. Bull. 26 (1981), 485-489.
-
K. T. Fang and Yuan K. H., A unified approach to maximum likelihood
estimation, Chinese J. Appl. Probab. Statist. 7 (1990), 412-41.
-
Y. Wang and K. T. Fang, Number theoretic methods in applied statistics,
Chinese Ann. Math. Ser. B 11 (1990), 41-55.
-
____________, Number theoretic methods in applied statistics (II), Chinese
Ann. Math. Ser. B 11 (1990), 384-394.
-
____________, A sequential number-theoretic methods for optimization and its
applications to regression analysis, Lecture Notes in Contemporary Math.,
Longman, London, (1990), 139-156.
-
K. T. Fang and Y. Wang, A sequential algorithm for solving a system of
nonlinear equations, J. Comput. Math. 9 (1991), 9-16.
-
____________, Applications of quasi-random sequence in statistics,
Proceedings of Asian Mathematical Conference 1990 (Z. Li, et al, ed.),
World Scientific, Singapore, (1992), 135-139.
-
K. T. Fang, K. H. Yuan, and P. M. Bentler, Applications of sets of points
uniformly distributed on sphere to test multinormality and robust
estimation, Probability and Statistics (Z. P. Jiang, et al, ed.), World
Scientific, Singapore, (1992), 56-73.
-
K. T. Fang and H. N. Zhen, A maximum symmetric differences principle and
its applications in uniform design, Chinese J. Appl. Probab. Statist.
8 (1992), 10-18.
-
Y. Wang and K. T. Fang, A sequential number-theoretic methods for
optimization and its applications in statistics, The Development of
Statistics: Recent Contributions from China, Longman, London, (1992),
139-156.
-
K. T. Fang and G. Wei, The distribution of a class the first hitting
time, Acta Math. Appl. Sinica 15 (1993), 460-467.
-
K. T. Fang and J. T. Zhang, A new algorithm for calculation of estimates
of parameters of nonlinear regression modeling, Acta Math. Appl. Sinica
16 (1993), 366-37.
-
K. T. Fang, Uniform design and design tables, Science Press, Beijing,
1994, (in Chinese).
-
K. T. Fang, P. M. Bentler, and K. H. Yuan, Applications of
number-theoretic methods to quantizers of elliptically contoured
distributions, Multivariate Analysis and Its Applications, IMS Lecture Notes
Monograph Ser., (1994), 211-225.
-
K. T. Fang and J. K. Li, Some new results on uniform design, Chinese
Sci. Bull. 9 (1994), 416-428, English version in 40 (1995),
268-272.
-
K. T. Fang and Y. Wang, Number-theoretic methods in statistics, Chapman
and Hall, London, (1994).
-
K. T. Fang, Y. Wang, and P. M. Bentler, Some applications of
number-theoretic methods in statistics, Statist. Sci. 9 (1994),
416-428.
-
K. T. Fang and F. J. Hickernell, The uniform design and its
applications, Bull. Inst. Internat. Statist., 50thSession, Book 1 (1995), 333-349.
-
F. J. Hickernell, A comparison of random and quasirandom points for
multidimensional quadrature, Monte Carlo and Quasi-Monte Carlo Methods in
Scientific Computing (H. Niederreiter and P. J. S. Shiue, eds.), vol. 106,
Springer-Verlag, New York, 1995, 213-227.
-
W. C. Shiu, S. L. Ma, and K. T. Fang, On the rank of cyclic Latin
squares, Linear and Multilinear Algebra 40 (1995), 183-188.
-
Y. Wang, D. K. Lin, and K. T. Fang, Designing outer array points, J.
Quality Technology 27 (1995), 226-241.
-
L. X. Zhu, K. T. Fang, and J. T. Zhang, A projection NT-type test for
spherical symmetry of a multivariate distribution, New Trends in Probability
and Statistics, vol. 3 - Multivariate Statistics and Matrices in Statistics
(M. Tiit, T. Kollo, and H. Niemi, eds.), VSP - TEV, Utrecht, The Netherlands,
(1995), 109 - 122.
-
K. T. Fang and F. J. Hickernell, Discussion of the papers by Atkinson,
and Bates et al, J. Roy. Statist. Soc. B 58 (1996), 103.
-
F. J. Hickernell, The mean square discrepancy of randomized nets, ACM
Trans. Model. Comput. Simul. 6 (1996), 274-296.
-
____________, Quadrature error bounds with applications to lattice rules,
SIAM J. Numer. Anal. 33 (1996), 1995-2016.
-
Y. Z. Liang and K. T. Fang, Robust multivariate calibration algorithm
based on least median squares and sequential number theoretic optimization
method, Analyst Chemistry 121 (1996), 1025-1029.
-
Y. Wang and K. T. Fang, Uniform design of experiments with mixtures,
Sci. China Ser. A 39 (1996), 264-275.
-
K. T. Fang and R. Z. Li, Some methods for generating both an NT-net
and the uniform distribution on a stiefel manifold and their applications,
Comput. Statist. Data Anal. 24 (1997), 29-46.
-
K. T. Fang and Y. Wang, Number-theoretic methods, Encyclopedia of
Statistics, Update vol. 2, Wiley, New York, (1997), 993-998.
-
F. J. Hickernell and H. S. Hong, Computing multivariate normal
probabilities using rank-1 lattice sequences, Proceedings of the Workshop on
Scientific Computing, (Hong Kong) (G. H. Golub, S. H. Lui, F. T. Luk, and
R. J. Plemmons, eds.), Springer-Verlag, Singapore, (1997), 209-215.
-
F. J. Hickernell and Y. X. Yuan, A simple multi-start algorithm for
global optimization, Oper. Res. Trans. 1 (1997), no. 2, 1-11.
-
F. J. Hickernell, R. X. Yue, and F. S. Hickernell, Statistical modeling
for the optimal deposition of sputtered piezoelectric films, IEEE Trans.
Ultrason., Ferroelectrics & Frequency Control 44 (1997), 615-623.
-
S. Kotz, K. T. Fang, and J. J. Liang, On multivariate vertical density
representation and its application to random number generation, Statistics
30 (1997), 163-180.
-
A. W. M. Lee, W. F. Chan, F. S. Y. Yuen, P. K. Tse, Y. Z. Liang, and K. T.
Fang, An example of a sequential uniform design: application in
capillary electrophoresis, Chemometrics and Intelligent Laboratory Systems
39 (1997), 11-18.
-
P. Winker and K. T. Fang, Application of threshold accepting to the
evaluation of the discrepancy of a set of points, SIAM J. Numer. Anal.
34 (1997), 2038-2042.
-
L. Zhang, Y. Z. Liang, R. Q. Yu, and K. T. Fang, Sequential
number-theoretic optimization (SNTO) method applied to chemical
quantitative analysis, J. Chemometrics 11 (1997), 267-281.
-
L. X. Zhu, K. T. Fang, and R. Z. Li, A new approach for testing symmetry
of a high-dimensional distribution, Bull. Hong Kong Math. Soc. 1
(1997), 35-46.
-
K. T. Fang, Z. Zheng, and W. Lu, Discrepancy with respect to
Kaplan-Meier estimator, Commun. Statist.-Simula 27 (1998),
329-344.
-
F. J. Hickernell, A generalized discrepancy and quadrature error bound,
Math. Comp. 67 (1998), 299-322.
-
____________, Lattice rules: How well do they measure up?, Random and
Quasi-Random Point Sets, Springer Lecture Notes in Statistics, vol. 138,
Springer-Verlag, New York, (1998), 109-166.
-
G. L. Tian and K. T. Fang, Stochastic representation and uniform designs
for mixture-amount experiments and for mixture experiments under order
restrictions, Sci. China 28 (1998), no. 12, 1087-1101.
-
P. Winker and K. T. Fang, Optimal U-type design, Monte Carlo and
Quasi-Monte Carlo Methods 1996 (H. Niederreiter, P. Zinterhof, and
P. Hellekalek, eds.), Springer, (1998), 436-448.
-
L. Zhang, Y. Z. Liang, J. H. Jiang, R. Q. Yu, and K. T. Fang, Uniform
design applied to nonlinear multivariate calibration by ANN, Analytic
Chimica Acta 370 (1998), 65-77.
-
K. T. Fang and C. X. Ma, Applications of uniformity to factorial
designs, J. Chinese Statist. Assoc. (1999), to appear, (in Chinese).
-
____________, Connections and comparisons between uniform design and
orthogonal design, Symposium on the Theory of Uniform Design and Its
Applications, Hong Kong Baptist University, 1999, 8-40, (in Chinese).
-
K. T. Fang, C. X. Ma, and J. K. Li, Recent development of orthogonal
factorial designs and their application -- applications of regression
analysis to orthogonal designs, Appl. Statist. & Management 18
(1999), no. 2, 244-49, (in Chinese).
-
____________, Recent development of orthogonal factorial designs and their
applications (II) - uniformly orthogonal designs, Appl. Statist. &
Management 18 (1999), no. 3, 43-51, (in Chinese).
-
____________, Recent development of orthogonal factorial designs and their
applications (III) - D-optimality of orthogonal designs, Appl.
Statist. & Management 18 (1999), no. 4, 43-52, (in Chinese).
-
____________, Recent development of orthogonal factorial designs and their
applications (IV) - projection properties of orthogonal designs, Appl.
Statist. & Management 18 (1999), no. 4, 35-43, 5, (in Chinese).
- 51
K. T. Fang, W. C. Shiu, and J. X. Pan, Uniform designs based on Latin
squares, Statist. Sinica 9 (1999), 905-912.
- 52
K. T. Fang and Z. H. Yang, On uniform design of experiments with
restricted mixtures and generation of uniform distribution on some domains,
Statist. Probab. Lett. 46 (1999), 113-120.
- 53
K. T. Fang and Z. K. Zheng, A two-stage algorithm of numerical evaluation
of integrals in number-theoretic methods, J. Comput. Math. 17
(1999), 285-292.
-
F. J. Hickernell, What affects the accuracy of quasi-Monte Carlo
quadrature?, Monte Carlo and Quasi-Monte Carlo Methods 1998
(H. Niederreiter and J. Spanier, eds.), Springer-Verlag, Berlin, (1999),
16-55.
-
F. J. Hickernell and H. S. Hong, The asymptotic efficiency of randomized
nets for quadrature, Math. Comp. 68 (1999), 767-791.
-
C. X. Ma and K. T. Fang, The usefulness of repeated experiments in
experimental designs, Symposium on the Theory of Uniform Design and Its
Applications, Hong Kong Baptist University, 1999, 104-114, (in Chinese).
-
G. L. Tian and K. T. Fang, Uniform design for mixture-amount experiments
and for mixture experiments under order restrictions, Sci. China Ser. A
42 (1999), no. 5, 456-470.
-
P. Winker and K. T. Fang, Randomness and quasi-Monte Carlo
approaches, some remarks on fundamentals and applications in statistics and
econometrics, Jahrbücher für Nationalökonomie and Statistics
218 (1999), 215-228.
-
R. X. Yue, Variance of quadrature over scrambled unions of nets,
Statist. Sinica 9 (1999), 451-473.
-
R. X. Yue and F. J. Hickernell, Robust optimal designs for fitting linear
models with misspecification, Statist. Sinica 9 (1999), 1053-1069.
-
Q. Zhang and Y. W. Leung, An orthogonal genetic algorithm for multimedia
multicast routing, IEEE Trans. Evolutionary Comput. 3 (1999),
no. 1, 53-62.
-
K. T. Fang, S. Deng, and C. X. Ma, A sequential optimization algorithm
for evaluation of the form - position errors, (2000), submitted for
publication, (in Chinese).
-
K. T. Fang, Z. Geng, and G. L. Tian, Statistical inference for truncated
dirichlet distribution and its application in misclassification, Biometrical
J. 8 (2000), 137-152.
-
K. T. Fang, D. J. Lin, and C. X. Ma, On construction of meulti-level
supersaturated designs, J. Statist. Plann. Inference 6 (2000),
129-141.
-
K. T. Fang, D. K. J. Lin, P. Winker, and Y. Zhang, Uniform design: Theory
and applications, Technometrics 42 (2000), 237-248.
-
K. T. Fang and C. X. Ma, Wrap-around L2-discrepancy of radome
sampling, Latin hypercube and uniform designs, J. Complexity (2000), to
appear.
-
K. T. Fang and R. Mukerjee, A connection between uniformity and
aberration in regular fractions of two-level factorials, Biometrika
87 (2000), 193-198.
-
F. J. Hickernell and H. S. Hong, Quasi-Monte Carlo methods and their
randomizations, Proceedings of the IMS Workshop on Applied Probability,
2000, to appear.
-
F. J. Hickernell and H. Wozniakowski, Integration and approximation in
arbitrary dimensions, Adv. Comput. Math. 12 (2000), 25-58.
-
Y. W. Leung and Y. P. Wang, Multiobjective programming using uniform
design and genetic algorithm, IEEE Trans. System Man Cybernet 30
(2000), no. 3, 293-304.
-
____________, An orthogonal genetic algorithm with quantization for global
numerical optimization, IEEE Trans. Evolutionary Comput. 4 (2000),
no. 4.
-
C. X. Ma, K. T. Fang, and E. Liski, A new approach in constructing
orthogonal and nearly orthogonal arrays, Metrika 50 (2000),
255-268.
-
M. Y. Xie and K. T. Fang, Admissibility and minimaxity of the uniform
design in nonparametric regression model, J. Statist. Plann. Inference
83 (2000), 101-111.
-
Q. S. Xu, Y. Z. Liang, and K. T. Fang, The effects of different
experimental designs on parameter estimation in the kinetics of a reversible
chemical reaction, Chemometrics and Intelligent laboratory Systems
52 (2000), 155-166.
-
K. T. Fang, C. X. Ma, and P. Winker, Centered L2-discrepancy of
random sampling and Latin hypercube design, and construction of uniform
designs, Math. Comp. (2001), to appear.
-
K. T. Fang, Z. H. Yang, and S. Kotz, Generation of multivariate
distributions by vertical density representation, Statistics (2001), to
appear.
-
F. J. Hickernell, H. S. Hong, P. L'écuyer, and C. Lemieux, Extensible
lattice sequences for quasi-Monte Carlo quadrature, SIAM J. Sci. Comput.
22 (2001), 1117-1138, to appear.
-
F. J. Hickernell and H. Wozniakowski, Tractability of multivariate
integration for periodic functions, J. Complexity (2001), to appear.
-
F. J. Hickernell and R. X. Yue, The mean square discrepancy of scrambled
(t,s)-sequences, SIAM J. Sci. Comput. 38 (2001), 1089-1112, to
appear.
-
J. J. Liang, K. T. Fang, F. J. Hickernell, and R. Z. Li, Testing
multivariate uniformity and its applications, Math. Comp. (2001), to appear.
-
C. X. Ma, K. T. Fang, and D. K. J. Lin, On isomorphism of fractional
factorial designs, J. Complexity (2001), to appear.
-
X. Wang and F. J. Hickernell, Randomized Halton sequences, Math.
Comput. Modelling (2001), to appear.
-
R. X. Yue and F. J. Hickernell, Integration and approximation based on
scramble sampling in arbitrary dimensions, J. Complexity (2001), to appear.
[Contents] [Previous]
PREPRINTS AND TECHNICAL REPORTS
The list below contains manuscripts that have not been published,
including a number are under review for publication.
-
K. T. Fang and J. T. Zhang, Criteria for the uniform design, Tech.
Report 002, Department of Mathematics, Hong Kong Baptist University, 1991.
-
K. T. Fang, Y. Wang, and H. L. Wong, A new method for generating the
uniform distribution on the unit sphere, Tech. Report 015, Department of
Mathematics, Hong Kong Baptist University, 1992.
-
F. J. Hickernell and K. T. Fang, Combining quasirandom search and
Newton-like methods for nonlinear equations, Tech. Report 037, Department
of Mathematics, Hong Kong Baptist University, 1993.
-
L. X. Zhu, K. T. Fang, and R. Z. Li, A projection NT-Type test of
multinormality based on the skewness and kurtosis indices, Tech. Report 052,
Department of Mathematics, Hong Kong Baptist University, 1994.
-
K. T. Fang and W. Li, A global optimum algorithm on two factor uniform
design, Tech. Report 095, Department of Mathematics, Hong Kong Baptist
University, 1995.
-
K. T. Fang and M. Y. Xie, Orthogonality of the uniform type design under
general Fourier regression models, Tech. Report 102, Department of
Mathematics, Hong Kong Baptist University, 1995.
-
M. Y. Xie and K. T. Fang, Orthogonal array: Uniformity and D-optimality
of wavelet regression models, Tech. Report 131, Department of Mathematics,
Hong Kong Baptist University, 1996.
-
K. T. Fang, M. Y. Xie, and Y. Wang, The usefulness of uniformity of
experimental points over the domain, Tech. Report 145, Department of
Mathematics, Hong Kong Baptist University, 1997.
-
C. Ma and K. T. Fang, Applications of uniformity to orthogonal fractional
factorial designs, Tech. Report 193, Department of Mathematics, Hong Kong
Baptist University, 1998.
-
K. T. Fang and C. X. Ma, Relationship between uniformity and aberration,
constructions of uniform designs in regular fractions 3s-1, Tech.
Report 243, Department of Mathematics, Hong Kong Baptist University, 1999.
-
____________, Some connections between uniformity orthogonality and aberration
in regular fractional factorial designs, Tech. Report 248, Department of
Mathematics, Hong Kong Baptist University, 1999.
-
K. T. Fang, C. X. Ma, and R. Mukerjee, Uniformity in fractional
factorials, Tech. Report 274, Department of Mathematics, Hong Kong Baptist
University, 2000.
-
F. J. Hickernell and M. Q. Liu, Uniform designs limit aliasing, Tech.
Report 275, Department of Mathematics, Hong Kong Baptist University, 2000.
-
F. J. Hickernell, M. Q. Liu, and C. Y. Yam, Discrepancy measures of
uniformity, Tech. Report 269, Department of Mathematics, Hong Kong Baptist
University, 2000, (in Chinese).
-
F. J. Hickernell and X. Wang, The error bounds and tractability of
quasi-Monte Carlo algorithms in infinite dimension, Tech. Report 273,
Department of Mathematics, Hong Kong Baptist University, 2000.
-
F. J. Hickernell and H. Wozniakowski, The price of pessimism for
multidimensional quadrature, Tech. Report 268, Department of Mathematics,
Hong Kong Baptist University, 2000.
-
M. Q. Liu and K. T. Fang, Some results on resolvable incomplete block
designs, Tech. Report 280, Department of Mathematics, Hong Kong Baptist
University, 2000.
-
M. Q. Liu and F. J. Hickernell, Connections between uniformity and E(s2)-optimality in 2-level supersaturated designs, Tech. Report 289,
Department of Mathematics, Hong Kong Baptist
University, 2000.
- 19
C. X. Ma and K. T. Fang, A note on generalized aberration in factorial
designs, Tech. Report 281, Department of Mathematics, Hong Kong Baptist
University, 2000.
[Contents] [Previous]
OPPORTUNITIES FOR COOPERATION
As mentioned above we value collaborations with other scholars and
research groups. We want to learn from the expertise of others and
involve others in research problems that interest us. Cooperation
may take place in several ways, including the following.
- Recommend your qualified graduates to study for their MPhil
or PhD degrees at HKBU. We accept a few students each year to
study for a research degree in quasi-Monte Carlo methods.
Full-time MPhil and PhD students are eligible for full financial
assistance regardless of their nationality.
- Host our PhD students as they visit your institution. We
encourage all PhD students to spend a few months abroad in a
strong research environment to attend lectures and to collaborate
with experts. In the past our students have visited Stanford
University, University of California at Los Angles, and the
Weierstrass Institute. Students appreciate any financial
assistance that the host institution can provide, but this is not
a pre-requisite. Our department can provide some financial
assistance and students are normally willing to pay for some
expenses from their own pockets.
- Send your students, fresh PhDs, and junior colleagues to
visit us. We can make office space available to them while we
learn from each other. If they are collaborating with us on a
research project, then we may be able to provide financial
support.
- Visit us when you are passing through Hong Kong. We
welcome seminar talks and research discussions with experts who
can spend a few days to a week in Hong Kong. We can sometimes
provide local expenses.
- Visit us during your sabbatical. We welcome sabbatical
visitors, and try our best to accommodate them. Sometimes we
are able to provide stipends to sabbatical visitors from research
grants or the teaching budget.
- Collaborate over the internet. In recent years we have
collaborated with many of our colleagues using email, ftp and the
web. By combining our complementary expertise and sharing
computational output and draft manuscripts via the internet we
have been able to solve some interesting problems.
[Contents] [Previous]
CONTACT INFORMATION
To find out more about our work on quasi-Monte Carlo methods or
opportunities for cooperation please contact either Prof. Kai-Tai
Fang or Prof. Fred J. Hickernell. We look forward to hearing from
you.
Prof. Kai-Tai Fang, Director
Statistics Research and Consultancy Centre
Hong Kong Baptist University
Kowloon Tong, Hong Kong SAR, China
Phone: +852 2339 7025,
Fax: +852 2339 5811
Email: ktfang@hkbu.edu.hk
Web: http://www.math.hkbu.edu.hk/~ktfang.html
Prof. Fred J. Hickernell, Head
Department of Mathematics
Hong Kong Baptist University
Kowloon Tong, Hong Kong SAR, China
Phone: +852 2339 7015,
Fax: +852 2339 5811
Email: fred@hkbu.edu.hk
Web: http://www.math.hkbu.edu.hk/~fred
[Contents] [Previous]