Probability Theory 1 This course deals with probability measurement theory, basics of integration, random variables, independence, various modes of convergence of random variables, random series, law of large numbers, convergence in distribution, characteristic functions and central limit theorems

 Probability Theory 2 This course deals with conditional expectation, martingales, ergodic theorem, infinite divisibility, stabe distribution and general central limit problems.

 Statistical Consulting and Practices This course aims to develop the quality skills of a statistician. Students will improve their abilities to solve statistical problems in various fields of social science as well as those of natural science. Under the professor's supervision, students are required to present outcomes on real statistical problems and have group discussion.

 Theory of Statistics 1 This course deals with theories of statistical estimation including distribution family, sufficiency principle, least square estimator, maximum likelihood estimator, computing skills. Bayesian and minimax aspects of estimators are introduced. Theories related to linear models are covered. Topics include basic linear algebra including the spectral decomposition, distribution theories related to the multivariate normal distribution, projection method, the concept of estimability, Gauss-Markov theory, best linear unbiased estimator(BLUE).

 Applied Statistics This course explores the role of linear models as a statistical tool for modeling data. Theoretical aspects of such models are explored, but the emphasis is on strategies and methodology for model selection, estimation, inference and checking. Models covered include simple and multiple regression, and one-way and two-way analysis of variance for factorial experiments. Inference will be based largely on the least-squares criterion, exploiting the Gauss-Markov theorem, but connections will also be made with likelihood-based approaches. The use of R for modeling data via linear models will be integral to the course.

 Advanced Statistical Methods This course aims to give you an overview of a number of topics of important current interest in statistics and applied probability, and give you the opportunity to gain an understanding of the practical and theoretical aspects of topics. The subjects we discuss in this course include nonparametric regression, simulation methods, spatial statistics, Classification and robust statistics.

 Theory of Statistics 2 This course covers statistical inference and asymptotic theories. Uniformly most powerful test, unbiased test, likelihood ratio method are covered. For asymptotic theories, consistency of maximum likelihood estimator and minimum contrast estimator, asymptotic distribution theories of maximum likelihood estimator and its efficiency, delta method are studied. Asymptotic inference methods including likelihood ratio test, Wald test, Rao test, Pearson's chi-square test are covered.

 Seminar in Recent Development of Statistical Theories This course consists of series of seminars on emerging statistical theory.

 Nonparametric Function Estimation This course introduces theory of nonparametric kernel estimation of density and regression functions. It covers kernel density estimation, local polynomial estimation and the local quasi-likelihood approach for estimating regression functions, nonparametric additive regression function estimation, etc.

 Seminar in Recent Developement of Applied Statistics This course consists of series of seminars on emerging applications of statistics.

 Advanced Bayesian Statistics In this course, we study background theory of Bayesian statistics. In particular, we study construction of various noninformative priors, decision theory (minimax theory, admissibility, and complete class theorem, non-parametric Bayesian statistics, and theory for Markov chain Monte Carlo.

 Advanced Survival Analysis This course covers various advanced techniques for analyzing censored and truncated survival data. The topics include Kaplan-Meier estimator, non-parametric maximum likelihood method, empirical likelihood, counting process techniques, martingales and stochastic integration, estimation of hazard function, log-rank and Gehan test, Cox's proportional hazard model and partial likelihood.

 Advanced Methods in Data Mining This course introduces some useful tools and techniques for data mining. Both practical and theoretical sides of data mining are emphasized in this course. For data mining tools, the logistic regression, decision trees and neural networks are covered. For model evaluations, various measures and methods such as lift, score, hit ratio and cross-validation are taught. For advanced tools, ensemble algorithms including bagging and boosting and support vector machine are considered. For unsupervised learning, association rule and clustering methods are considered. Data mining softwares such as R-packages, E-miner, Answer Tree, and Clementine are used to solve practical problems.

 Advanced Biostatistics This course will cover statistical methods used to analyze a variety of data in genomics. The course will include a simple overview of genomic data and terminology and will proceed with a review of numerical techniques frequently employed in genomic studies. The course will focus on the statistical methods to cover topics relating to gene expression data analysis and genetic epidemiology such as linkage analysis and tests of association

 Advanced Regression Analysis This course is the introductory course to regression analysis for master-level graduate students. This course deals with basic matrix algebra and statistical theory, basic regression analysis, inference for simple regression analysis, miscellaneous topics for regression analysis, basic multiple regression analysis, estimation and hypothesis testing, polynomial regression, generalized regression analysis, use of dummy variables, application of analysis of variance, response surface analysis, analysis of mixture experiments, selection of variables, regression diagnostics, biased estimation, nonlinear regression and so on. The prerequisite courses are Statistics and Lab. for basic statistics and linear algebra for matrix theory.

 Advanced Time Series Analysis For the analysis of univariate time series data, ARIMA modeling and spectral theory are introduced. Through real data analysis, students learn the various techniques in the model identification, fitting, diagnostic checking, and forecasting steps.

 Advanced Probability Theory This course covers weak convergence of sequence of probability measures on metric spaces, specially on C-space and D-space.

 Seminar in Statistics This course consists of series of seminars on emerging statistical theory and applications.

 Topics in Stochastic Processes This course covers semigroup theory in Markov process, Hill-Yosida theorem, Brownian motion and the boundary value problem and potential theory.

 Categorical Data Analysis This course provides an introduction for using statistical methods to analyze categorical data. Since categorical data can usually be arranged in a contingency table, this course focuses on using statistical methods to analyze contingency tables. The main topics in this course are contingency table analysis, log linear models, and logistic models.

 Analysis of Repeated Measurements This course introduces the use of statistical methods to analyze repeated measurement data in experiment data in experimental conditions or at multiple times with one subject. It covers how to use classical multivariate models on multivariate normal distribution and mixed models to analyze continuous repeated measurement data. The course also examines how models based on weighted least squares estimation, random effect models and generalized estimating equations(GEE) are used to analyze repeated measurement data of discrete type.

 Topics in Nonparametric Function Estimation In this course, students study recently published papers related to density, regression and frontier function estimation.

 Advanced Statistical Computing Statistical computing becomes ever more important with the advent of Big Data or large scale high-dimensional data. In this course, we study the recent statistical computing techniques for large scale high-dimensional data including statistical computing using GPU and parallel computing.

 Statistical Analysis for Spatial data This course focuses on statistical methods in Spatial Statistics. The goal of the course is to learn the analysis methods for spatial and spatio-temporal data and their theoretical backgrounds and apply such methods. The contents of the course includes but not limited to hypothesis test of spatial dependence, spatial dependence models and estimation, spatial regression and kriging, analysis of areal data, disease mapping, and spatial point process models.

 Deep learning: Statistical perspective This course builds on Advanced Methods in Data Mining (326.637) focusing on learning deep compositional functions. The goal is to study deep learning methodologies and identify related statistical issues. The contents include pre-deep learning methods such as feature extraction and discrimination; components of well-established machine learning tools (support vector machine, reproducing kernel Hilbert space, model complexity, LASSO, ensemble); neural network; multi-layer-perceptron; backpropagation; convolutional neural network; optimization and regularization; visualization; Python and deep learning frameworks; recurrent neural network; variational inference; generative adversarial network; segmentation; detection; and natural language processing.

 First Year Graduate Student Seminar Students are introduced to the faculty and their interests, the field of statistics, computing tips, research ethics and the facilities at the department and the University. Each faculty member gives at least one elementary lecture on some topic of his or her choice. Students are also given information about the e-Learning and Teaching (eTL), the libraries at the University and current bibliographic tools. In addition, students are instructed in the use of the Departmental and University computational facilities and available statistical program packages.

 Department Seminar The statistics department invites experts to Seoul National University to make presentations on the topics of interest in the area of statistics and its applications.