STAT1011 Introduction to Statistics
Students will learn the basic concepts of statistics, so that they will be equipped to understand statistical reports and recognize when the quantitative information presented is reliable. They will also learn about organizing and displaying graphical and numerical summaries of data, and drawing conclusions from them. The course uses computer interactive techniques, instead of tedious arithmetic calculations, to introduce simple but powerful statistical concepts. Topics include exploratory data analysis, statistical graphics, sampling variability, point and confidence interval estimation, hypothesis testing, as well as other selected topics.
STAT1012 Statistics for Life Sciences
This course introduces basic statistical concepts to life science students. Students will gain a conceptual understanding of statistical methods with the help of user-friendly software instead of complicated derivations. Topics include basic numerical and graphical descriptive statistics, basic study designs, estimation and hypothesis testing for population proportions and population means, linear regression, as well as other selected topics. Real cases in life sciences will be used to present the materials.
STAT2001 Basic Concepts in Statistics and Probability I
This course is designed to study the basic concepts of probability and statistics. Topics include elementary probability, Bayes theorem, random variables, distribution and density functions, mathematical expectation, conditional distribution, stochastic independence, correlation, special univariate and multivariate distributions, transformation of random variables, sampling distributions, law of large number, moment generating function and central limit theorem.
STAT2005 Programming Languages for Statistics
This course introduces the basic knowledge of using statistical software and programming. Students will learn programming with emphasis on data storage, data retrieval, data manipulation, data transformation, descriptive analysis, sorting, files merging, file updating, random sampling, and data reporting. Topics include basic concepts for programming, lists and objects, vectors and matrices, database manipulation, creating and retrieving dataset, printing and sorting data, exploratory data analysis, descriptive statistics, and statistical graphics, programming with statistical software, solving nonlinear equation and function optimization, simulation and Monte Carlo methods, output formats and custom report.
STAT2006 Basic Concepts in Statistics and Probability II
This course covers basic theories in estimation and testing. Topics include point estimation, interval estimation, unbiasedness, maximum likelihood estimation, hypothesis testing and likelihood ratio test.
STAT2011 Workshop on Data Exploration and Technical Writing
3 U; 3 STOT This course is designed to build students’ intuition upon data and fundamental principles of statistics, and to develop skills in technical writing. Students are required to take part in several term projects with emphasis on techniques of data exploration.
STAT2102 Basic Statistical Concepts and Methods II
This course offers basic concepts of statistics. Topics include elementary probability, Bayes theorem, random variables, distribution and density functions, discrete and continuous distributions, sampling distributions, and elementary concepts of estimation and hypothesis testing.
STAT3001 Foundation of Financial and Managerial Statistics
This course presents an overview of statistical techniques that lay the foundation for effective applications of statistics in the context of business administration. It covers financial management techniques including investment appraisal, portfolio management and models for assessing stock prices; as well as management techniques including decision analysis under uncertainty, project management, construction and usage of indices, and official statistics in Hong Kong. Selected topics in relation to the applications of multivariate techniques in marketing management will be discussed.
STAT3003 Survey Methods
This course focuses on the sample design, data analysis and interpretation of survey data. The basic sampling methods covered include simple random sampling, stratified random sampling, clustering sampling, subsampling and double sampling. The underlying method of parameter estimation will be fully discussed for simple random sampling and stratified random sampling. Special estimation techniques including ratio and regression estimations will be introduced in the context of simple random sampling. Analytic treatment of sample size determination, questionnaire design, problem of nonresponse and nonsampling errors will be discussed.
STAT3004 Basic Methods in Biomedical Statistics
This course explores some statistical methods in epidemiological research. Topics are selected from case-control studies, cross-sectional studies, relative risk and odds ratio, attributable risk, matched samples, logistic regression, life-table data analysis, Kaplan-Meier estimates, diagnostic tests, combining evidence from fourfold tables, effects of misclassification errors and agreement among observers.
STAT3005 Nonparametric Statistics
This course introduces a wide variety of nonparametric techniques for performing statistical inference and prediction, emphasizing both conceptual foundations and practical implementation. Basic
theoretical justification is also provided. The content covers three broad themes: (i) rank-type and order-type methods for handling location, dispersion, correlation, distribution and regression problems,
(ii) resampling-type procedures for testing and assessing precision, and (iii) smoothing-type techniques for estimation and prediction. Topics include Wilcoxon signed-rank test, Mann-Whitney rank
sum test, Spearman’s rho, Kendall’s tau, Kruskal-Wallis test, Kolmogorov-Smirnov test, bootstrapping, Jackknife, subsampling, permutation tests, kernel method, k-nearest neighbour, tree-based
method, classification, etc.
STAT3006 Statistical Computing
The course presents model algorithms in statistical computing. It covers fundamental concepts including Monte Carlo, Markov Chain Monte Carlo, Newton’s method, EM algorithm, database accessing, elementary parallel computing. The use of related statistical packages will be demonstrated.
STAT3007 Introduction to Stochastic Processes
This course deals with applied probability and stochastic models with application in industry, engineering and management science. Topics include discrete and continuous time Markov chain, Poisson process, queueing theory, renewal process, replacement problem and elementary reliability theory.
STAT3008 Applied Regression Analysis
This course introduces the general methodology in regression analysis. Topics include least squares method in simple and multiple regression, weighted least squares, diagnostic checkings, variables selection, dummy variables and multicollinearity. A laboratory section will be held to demonstrate the use of related statistical packages and provide students opportunities for hands-on practices.
STAT3011 Workshop on Data Analysis and Statistical Computing
3 U; 3 STOT This course is designed to strengthen students’ ability in statistical computing as well as in processing and analysing data. Students are required to participate in several term projects with emphasis on techniques of data management and analysis.
STAT3210 Statistical Techniques in Life Sciences
This course introduces statistical techniques commonly used in life sciences. Topics include descriptive statistics, parameter estimation, hypothesis testing for population proportions and population means, contingency table analysis, correlation and linear regression, logistic regression, survival analysis, and study designs.
STAT4001 Data Mining and Statistical Learning
The course presents model statistical methods for dealing high dimensional and ultrahigh dimensional complex data. It covers fundamental concepts including regularization methods, smoothing techniques, additive models, mixture models, model selection, model averaging, and ensemble learning. The use of related statistical packages will be demonstrated.
STAT4002 Multivariate Techniques with Business Applications
This course deals with multivariate statistical techniques and their applications in business. Topics are selected from multivariate normal distribution, analysis of means, profile analysis, MANOVA, partial correlation, multiple and canonical correlations, discriminant analysis, and principal components. The integrated use of these techniques in analysing business problems will be emphasized throughout the course.
STAT4003 Statistical Inference
This course provides an introduction to statistical inference. Topics include statistical models, sampling distributions, asymptotic distributions, sufficiency, maximum likelihood estimation, Bayesian estimation, Rao-Blackwell theorem, Cramér-Rao theorem and the best unbiased estimator, Neyman-Pearson lemma, uniformly most powerful test and general likelihood ratio test.
STAT4004 Actuarial Science
This course covers the basic principles of life contingencies, which is a science for life insurance. Topics include life tables, annuities, assurances, net and gross premiums, reserve, and multiple life theory.
STAT4005 Time Series
This course deals with time series with applications. Fundamental concepts of time series such as trends, stationary process, ARIMA process, model building (including parameter estimation, order determination and diagnostic checking), forecasting and seasonal models, ARCH and GARCH models will be covered. The use of related statistical packages will be demonstrated.
STAT4006 Categorical Data Analysis
This course deals with major statistical techniques in analysing categorical data. Topics include measures of association, inference for two-way contingency tables, loglinear models, logit models and models for ordinal variables. The use of related statistical packages will be demonstrated.
STAT4008 Survival Modelling
This course focuses on the modelling of survival data and its applications in actuarial and medical sciences. It covers basic concepts of lifetime distribution, various types of censoring, and methods to analyse censored data using non-parametric, parametric and semi-parametric models. Emphases are on the construction of the likelihood functions, parameter estimation and hypothesis testing.
STAT4010 Bayesian Learning
This course introduces Bayesian inference procedures and philosophy, emphasizing both conceptual foundations and computational strategies. It covers conjugate families of distributions, Bayesian credible regions, Jeffreys prior, Markov Chain Monte Carlo, Bayes factors, Bayesian information criterion, imputation, Bayesian linear-regression models, model averaging, hierarchical models and empirical Bayes models.
STAT4011 Statistics Projects
3 U; 3 STOT This course is designed to enhance students’ competence in integrating and applying statistical techniques in a practical manner. Students are required to conduct several term projects with emphasis on applications.
STAT4012 Statistical Principles of Deep Learning with Business Applications
This course introduces the basic statistics and principles behind different contemporary models in deep learning with applications in business. Emphasis is put on various topics on multilayer artificial neural networks, such as Convolutional Neural Network (CNN), Generative Adversarial Networks (GAN) and Recurrent Neural Network (RNN), and also Reinforcement Learning (RL). About their usage, CNN brings new insights into image classification, and also helps to digitalize business information; GAN finds wide applications in speech recognition and text-mining; RNN is very useful for hand-writing recognition; reinforcement learning enables effective decision making in rapidly changing environments such as financial markets. Statistical packages including R, EXCEL and Python will be used to demonstrate these methods. Examples from financial and business contexts will be accentuated in this course. The students taking this course are expected to have acquired basic background knowledge on calculus, linear algebra, probability and statistics as prerequisites.
STAR2000 Undergraduate Research in Science I
1U Overview Long Description This is an elementary research-based course that introduces current issues and/or special important foundation topics in a science discipline. Students are required to finish one of the following two tasks: 1. Read and discuss readings assigned by the instructor; 2. Conduct elementary laboratory tasks.
STAR2050 Seminar I
1U This course aims to widen students’ scope of horizon in a broad area of scientific research. Students are required to participate in research seminars or conferences.
STAR3000 Undergraduate Research in Science II
2U This is an intermediate research-based course aiming at introducing more focused research areas in a specific science discipline. Students are required to finish one of the following two tasks: 1. Read and discuss recent research outputs assigned by the instructor; 2. Conduct research related laboratory.
STAR3050 Seminar II
1U Students are required to participate in research seminars or conferences related to their target scientific research area approved by the instructor. Pre-requisite/Co-requisite: STAR2050
STAR4000 Undergraduate Research in Science II
This is an advanced research-based course. Students are required to investigate and/or analyze in depth recent advances of a specific area in the science discipline. They are expected to conduct research that may lead to future postgraduate studies.
STAR4050 Seminar III
1U Students are required to participate in research seminars or conferences related to a specific research area. Students have to discuss possible future research on at least one of the talks. Pre-requisite/Co-requisite: STAR3050
RMSC1101 Elementary Concepts in Risk Management
1U This is an elementary course that introduces current issues and special topics in risk management. Students are required to present and discuss books and current articles in the related topics assigned by the instructor. Advisory: For majors only.
RMSC2001 Introduction to Risk Management
This course aims at providing a focused introduction to various concepts of risk and risk measures from a scientific perspective. The course will discuss the various roles that risk plays in insurance and financial applications. Current risk measures such as value at risk and shortfall risk will be introduced. These measures will be calculated for recent financial losses to illustrate their usefulness in risk management.
RMSC2101 Introductory Topics in Risk Management
1 U This is an elementary course aiming at introducing current issues and special topics in risk management. Students are required to read books and articles in the related topics assigned by the instructor. Advisory: For majors only.
RMSC3101 Special Topics in Risk Management
1 U This is an intermediate course aiming at introducing current issues and special topics in risk management. Students are required to read books and articles in the related topics assigned by the instructor. Advisory: For majors only.
RMSC4001 Simulation Methods for Risk Management Science and Finance
This course starts with presenting standard topics in simulation including random variable generations, variance reduction methods and statistical analysis of simulation outputs. The course then reviews the applications of these methods to derivative security pricing. Topics addressed include: importance sampling, martingale control variables, stratification and the estimation of derivatives. Additional topics include the use of low discrepancy sequence (quasi-random numbers), pricing American options and scenario simulation for risk management.
RMSC4002 Financial Data Analytics with Machine Learning
This course covers modern data analysis techniques that are commonly used in finance and risk management. Topics include applications of multivariate techniques for data cleansing and modeling such as principal component analysis and canonical correlation analysis to asset management, Extreme Value theory, Value-at-Risks, GARCH modeling in estimating volatility, time series methods in term-structure analysis. Besides, the next few introductory topics in machine learning will also be covered, such as recommender system, logistic regression, k-means clustering, perceptrons, decision trees, artificial neural network, stochastic gradient descent, Naive Bayes Classifiers and Bayesian networks.
RMSC4003 Statistical Modelling in Financial Markets
This course is designed to introduce the current developments in risk management in the financial markets. Risk management ideas associated with three general important areas in finance will be discussed: asset management, derivative pricing and fixed income models. Emphasis will be placed on the statistical modelling aspects on some of the commonly used models in these areas.
RMSC4004 Theory of Risk and Insurance
This course covers the theory of risk and its applications to insurance. Topics include: classical and stochastic risk models, ruin theory, claims modelling and evaluations, risk premium pricing, loss distributions and creditability theory.
RMSC4005 Stochastic Calculus for Finance and Risk
This course starts with the introduction of the concepts of arbitrage and risk-neutral pricing. It then proceeds to discuss the stochastic calculus foundations for continuous-time finance models. Topics include: Brownian motion, stochastic integral, Itô’s formula, Girsanov’s change of measure, and the relationship between stochastic calculus and partial differential equations. Examples will be taken from equity options, including the Black-Scholes formula for foreign exchange and term-structure models.
RMSC4006 Operational Risk Management
This course introduces the general methodology for operational risk management. Special emphasis
will be placed on the analytical and modeling techniques for operational risk. Contents include Basel
regulations, loss models, extreme value theory, copula, operational value-at-risk and operational risk
derivatives. Machine learning techniques for managing operational risk will also be explored. The use
of statistical packages R will be demonstrated.
RMSC4007 Risk Management with Derivatives Concepts
This course aims at understanding the application of derivatives theories for the practical risk management. It starts by reviewing basic concepts of pricing and hedging derivatives, like risk-neutral valuation, arbitrage strategies, hedging strategies, implied volatilities and the Greeks. The Value-at-Risk framework for derivatives positions is discussed. Student will also learn how to apply option theoretic approach to credit risk management. Specifically, the capital structure model will be applied to measure the default probability. The Moody’s KMV methodology and CreditRisk+ are introduced. Advisory: For Risk Management Science, Quantitative Finance and Risk Management Science, Statistics majors only.
RMSC4102 Research Project
The course is to provide an opportunity for students to apply their knowledge to solve real-world problem. Students will be required to complete a group project, give a final project presentation and submit a written report, on which their assessment will be based. Advisory: For majors only.
RMSC4112 Research Project in Risk Analytics
In this course, students are required to review selected readings in academic journal in Statistics and Risk Management. Students are required to form a group to complete a project, in which the latest techniques of Risk Analytics are applied to tackle a real-world problem. They are also required to submit an interim and final written report, on which their assessment will be based. Advisory: For majors only.
RMSC4202 Practicum
The course serves to provide a bridge between the classroom and the real business world. Students will be required to complete a group project assigned by a company or an organization on a part-time basis. A team of three to five students will undertake a project under the joint supervision of an instructor and a member of the company or organization. Students will be required to give a final project presentation and submit a written report, on which their assessment will be based. Advisory: For majors only.
RMSC4212 Practicum in Risk Analytics
Students will join practicum in a financial-technology themed or start-up themed company on a full-time or part-time basis. Students are required to complete assignments about risk analytics jointly issued by the course instructor and a member of the company. They are also required to submit an interim and final written report, on which their assessment will be based. Advisory: For majors only.