Department of Statistics and Operations Research

Introduction

The major in statistics and analytics (STAN) is an excellent program for students interested in statistical data science, operations research, and actuarial science, as well as in fields such as business, economics, public policy and health, psychology, and biomedicine where the decision and statistical sciences play an increasingly important role.

Particular areas in which graduates can obtain employment or continue with graduate study include

Statistics

Students in this area study the mathematical theories of probability and statistics and their application to mathematical models that contain an element of uncertainty or randomness. Opportunities for employment are manifold in businesses and government agencies dealing with many branches of the natural and social sciences, including pharmacology, environmental sciences, and many others.

Operations Research

In this area, students study mathematical, statistical, and computational techniques related to decision making. Operations research is crucial in business, government, and other management areas where decisions are made by solving large, complex problems (for example, crew scheduling for airlines). In addition to their major courses, students interested in this field are encouraged to take courses in business and economics.

Actuarial Science

Actuaries work primarily in businesses that involve financial risk, including the insurance industry. Students interested in this field take advanced courses in statistics, stochastic processes, and the mathematical theory of risk.

Advising

All majors and minors have a primary academic advisor in Steele Building. Students are strongly encouraged to meet regularly with their advisor and review their Tar Heel Tracker each semester. STAN majors and minors are also encouraged to meet with departmental advisors to discuss course planning before registration each semester. The director of undergraduate studies works with prospective majors and minors by appointment. Additional information on courses, undergraduate research opportunities, the honors program, careers, and graduate schools may be obtained from the department’s website or by contacting the director of undergraduate studies.

Courses for Students from Other Departments

The Department of Statistics and Operations Research offers a variety of courses of potential value to students majoring in other disciplines. Introductory courses include STOR 113 and STOR 215, which are foundation courses in decision models, and the basic statistical courses, STOR 120, STOR 151 and STOR 155. At the intermediate level, STOR 305 provides an introduction to business decision models, while STOR 471 is an introductory course in actuarial science. Substantial coverage of applied statistical methods is provided in STOR 455 and STOR 556. At more advanced mathematical levels, an introduction to probability theory is provided by STOR 435, and the basic theory of statistical inference is given by STOR 555. More advanced deterministic and stochastic models of operations research are provided in STOR 415 and STOR 445. Machine learning is covered in STOR 565 and STOR 566.

Graduate School and Career Opportunities

Regardless of the electives chosen, the statistics and analytics degree program provides excellent preparation for graduate study. Graduates with concentrations in operations research or statistics often continue work at the graduate level in those fields or related areas such as industrial engineering, biostatistics, and environmental science, or enter business school to pursue the master’s in business administration (M.B.A.) degree.

A five-year B.S.–M.S. degree program in operations research is also an option. Interested students should consult the director of graduate studies for the operations research program.

Graduates of the statistics and analytics program will find numerous opportunities for well-paid, challenging jobs.

Professors

Nilay Argon, Shankar Bhamidi, Amarjit Budhiraja, Jan Hannig, Vidyadhar G. Kulkarni, Yufeng Liu, James Stephen Marron, Andrew Nobel, Gabor Pataki, Vladas Pipiras, Richard L. Smith, Serhan Ziya.

Associate Professors

Sayan Banerjee, Chuanshu Ji, Quoc Tran-Dinh, Mariana Olvera-Cravioto, Kai Zhang.

Assistant Professors

Guanting Chen, Nicolas Fraiman, Xiangying Huang, Yao Li, Michael O'Neill, Zhengwu Zhang.

Teaching Associate Professor

Robin Cunningham, Jeffrey McLean.

Teaching Assistant Professors

Oluremi Abayomi, Charles Dunn, Mario Giacomazzo, William Lassiter.

Joint Professors 

Joseph Ibrahim, Michael Kosorok, Jayashankar Swaminathan.

Professors Emeriti

George S. Fishman, Douglas G. Kelly, J. Scott Provan, David S. Rubin, Gordon D. Simons, Walter L. Smith, Shaler Stidham Jr., Jon W. Tolle.

STOR–Statistics and Operations Research

Undergraduate-level Courses

IDEAs in Action General Education logoSTOR 52.  First-Year Seminar: Decisions, Decisions, Decisions.  3 Credits.  

In this course, we will investigate the structure of these decision problems, show how they can be solved (at least in principle), and solve some simple problems.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: FY-SEMINAR.
Making Connections Gen Ed: QI.  
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 53.  FYS: Networks: Degrees of Separation and Other Phenomena Relating to Connected Systems.  3 Credits.  

Networks, mathematical structures that are composed of nodes and a set of lines joining the nodes, are used to model a wide variety of familiar systems.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: FY-SEMINAR.
Making Connections Gen Ed: QI.  
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 54.  First-Year Seminar: Adventures in Statistics.  3 Credits.  

This seminar aims to show that contrary to common belief, statistics can be exciting and fun. The seminar will consist of three modules: statistics in our lives, randomness, and principles of statistical reasoning.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: FY-SEMINAR.
Making Connections Gen Ed: QI.  
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 55.  First-Year Seminar: Risk and Uncertainty in the Real World.  3 Credits.  

The aim of this class is to study the role of uncertainty in our daily lives, to explore the cognitive biases that impair us, and to understand how one uses quantitative models to make decisions under uncertainty in a wide array of fields including medicine, law, finance, and the sciences.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: FY-SEMINAR.
Making Connections Gen Ed: QI.  
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 56.  First-Year Seminar: The Art and Science of Decision Making in War and Peace.  3 Credits.  

This seminar will use recently assembled historical material to tell the exciting story of the origins and development of operations research during and after World War II.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: FY-SEMINAR.
Making Connections Gen Ed: QI.  
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 60.  First-Year Seminar: Statistical Decision-Making Concepts.  3 Credits.  

We will study some basic statistical decision-making procedures and the errors and losses they lead to. We will analyze the effects of randomness on decision making using computer experimentation and physical experiments with real random mechanisms like dice, cards, and so on.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: FY-SEMINAR.
Making Connections Gen Ed: QI.  
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 61.  First-Year Seminar: Statistics for Environmental Change.  3 Credits.  

Studies the Environmental Protection Agency's Criteria Document, mandated by the Clean Air Act; this document reviews current scientific evidence concerning airborne particulate matter. Students learn some of the statistical methods used to assess the connections between air pollution and mortality, and prepare reports on studies covered in the Criteria Document.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: FY-SEMINAR.
Making Connections Gen Ed: QI.  
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 62.  First-Year Seminar: Probability and Paradoxes.  3 Credits.  

The theory of probability, which can be used to model the uncertainty and chance that exist in the real world, often leads to surprising conclusions and seeming paradoxes. We survey and study these, along with other paradoxes and puzzling situations arising in logic, mathematics, and human behavior.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: FY-SEMINAR.
Making Connections Gen Ed: QI.  
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 63.  FYS: Statistics, Biostatistics, and Bioinformatics: An Introduction to the Ongoing Evolution.  3 Credits.  

This course is designed to emphasize the motivation, philosophy, and cultivation of statistical reasoning in the interdisciplinary areas of statistical science and bioinformatics.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: FY-SEMINAR.
Making Connections Gen Ed: QI.  
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 64.  First-Year Seminar: A Random Walk down Wall Street.  3 Credits.  

Introduces basic concepts in finance and economics, useful tools for collecting and summarizing financial data, and simple probability models for quantification of market uncertainty.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: FY-SEMINAR.
Making Connections Gen Ed: QI.  
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 66.  First-Year Seminar: Visualizing Data.  3 Credits.  

This seminar looks at a variety of ways in which modern computational tools allow easy and informative viewing of data. Students will also study the kinds of choices that have to be made in data presentation and viewing.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: FY-SEMINAR.
Making Connections Gen Ed: QI.  
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 72.  First-Year Seminar: Unlocking the Genetic Code.  3 Credits.  

Introduces students to the world of genetics and DNA and to the use of computers to organize and understand the complex systems associated with the structure and dynamics of DNA and heredity.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: FY-SEMINAR.
Making Connections Gen Ed: QI.  
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 89.  First-Year Seminar: Special Topics.  3 Credits.  

Special Topics Course. Contents will vary each semester.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: FY-SEMINAR.
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 113.  Decision Models for Business and Economics.  3 Credits.  

An introduction to multivariable quantitative models in economics. Mathematical techniques for formulating and solving optimization and equilibrium problems will be developed, including elementary models under uncertainty.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: FC-QUANT.
Making Connections Gen Ed: QR.  
Requisites: Prerequisite, MATH 110.  
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 115.  Reasoning with Data: Navigating a Quantitative World.  3 Credits.  

Students will use mathematical and statistical methods to address societal problems, make personal decisions, and reason critically about the world. Authentic contexts may include voting, health and risk, digital humanities, finance, and human behavior. This course does not count as credit towards the psychology or neuroscience majors.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: FC-QUANT.
Making Connections Gen Ed: QR.  
Grading Status: Letter grade.  
Same as: MATH 115, BIOL 115, PSYC 115.  
IDEAs in Action General Education logoSTOR 120.  Foundations of Statistics and Data Science.  4 Credits.  

The course teaches critical concepts and skills in computer programming and statistical inference, in conjunction with hands-on analysis of real-world datasets, including economic data, document collections, geographical data, and social networks. It delves into social issues surrounding data analysis such as privacy and design.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: FY-LAUNCH (only designated sections), FC-QUANT.
Making Connections Gen Ed: QR.  
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 151.  Introduction to Data Analysis.  3 Credits.  

Elementary introduction to statistical reasoning, including sampling, elementary probability, statistical inference, and data analysis. STOR 151 may not be taken for credit by students who have credit for ECON 400 or PSYC 210.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: FC-QUANT.
Making Connections Gen Ed: QR.  
Requisites: Prerequisite, MATH 110.  
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 155.  Introduction to Data Models and Inference.  3 Credits.  

Data analysis; correlation and regression; sampling and experimental design; basic probability (random variables, expected values, normal and binomial distributions); hypothesis testing and confidence intervals for means, proportions, and regression parameters; use of spreadsheet software.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: FY-LAUNCH (only designated sections), FC-QUANT.
Making Connections Gen Ed: QR.  
Requisites: Prerequisite, MATH 110.  
Grading Status: Letter grade.  
STOR 190.  Special Topics.  3 Credits.  

Examines selected topics from statistics and operations research. Course description is available from the department office.

Rules & Requirements  
Repeat Rules: May be repeated for credit. 12 total credits. 4 total completions.  
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 215.  Foundations of Decision Sciences.  3 Credits.  

Introduction to basic concepts and techniques of discrete mathematics with applications to business and social and physical sciences. Topics include logic, sets, functions, combinatorics, discrete probability, graphs, and networks.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: FC-QUANT.
Making Connections Gen Ed: QR.  
Requisites: Prerequisite, MATH 110.  
Grading Status: Letter grade.  
STOR 290.  Special Topics.  3 Credits.  

Examines selected topics from statistics and operations research. Course description is available from the department office.

Rules & Requirements  
Repeat Rules: May be repeated for credit. 12 total credits. 4 total completions.  
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 291.  Undergraduate Learning Assistantship.  1 Credits.  

Experience includes preparations, demonstrations, assistance, and attendance at weekly meetings and lab sections. This course will enable you to deepen your understanding of topics in statistics and data science by learning the material with an eye toward explaining it to other less-experienced students, and; develop pedagogical skills, such as developing a rapport with learners, engaging in clear oral and written communication, and taking the perspective of less experienced students.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: HI-LEARNTA.
Requisites: Prerequisite, STOR 120 grade of A- or higher.  
Repeat Rules: May be repeated for credit. 7 total credits. 7 total completions.  
Grading Status: Pass/Fail.  
IDEAs in Action General Education logoSTOR 305.  Introduction to Decision Analytics.  3 Credits.  

The use of mathematics to describe and analyze large-scale decision problems. Situations involving the allocation of resources, making decisions in a competitive environment, and dealing with uncertainty are modeled and solved using suitable software packages.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: FC-QUANT.
Making Connections Gen Ed: QI.  
Requisites: Prerequisite, STOR 120, 155, or MATH 152.  
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 320.  Introduction to Data Science.  4 Credits.  

Development of basic skill set for data analysis from obtaining data to data carpentry, exploration, modeling, and communication. Topics covered include regression, clustering, classification, algorithmic thinking, and non-standard data objects (networks and text data). Students may not receive credit for both STOR 320 and STOR 520.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: FC-QUANT, FC-LAB.
Making Connections Gen Ed: QI.  
Requisites: Prerequisite, STOR 120 or 155.  
Grading Status: Letter grade.  
STOR 358.  Sample Survey Methodology.  4 Credits.  

Fundamental principles and methods of sampling populations, with emphasis on simple, random, stratified, and cluster sampling. Sample weights, nonsampling error, and analysis of data from complex designs are covered. Practical experience through participation in the design, execution, and analysis of a sampling project.

Rules & Requirements  
Making Connections Gen Ed: EE- Field Work.  
Requisites: Prerequisite, BIOS 650; permission of the instructor for students lacking the prerequisite.  
Grading Status: Letter grade.  
Same as: BIOS 664.  
STOR 390.  Special Topics in Statistics and Operations Research.  3 Credits.  

Examines selected topics from statistics and operations research. Course description is available from the department office.

Rules & Requirements  
Repeat Rules: May be repeated for credit; may be repeated in the same term for different topics; 12 total credits. 4 total completions.  
Grading Status: Letter grade.  

Advanced Undergraduate and Graduate-level Courses

STOR 415.  Introduction to Optimization.  3 Credits.  

Linear, integer, nonlinear, and dynamic programming, classical optimization problems, network theory.

Rules & Requirements  
Requisites: Prerequisite, MATH 547.  
Grading Status: Letter grade.  
STOR 435.  Introduction to Probability.  3 Credits.  

Introduction to mathematical theory of probability covering random variables; moments; binomial, Poisson, normal and related distributions; generating functions; sums and sequences of random variables; and statistical applications. Students may not receive credit for both STOR 435 and STOR 535.

Rules & Requirements  
Making Connections Gen Ed: QI.  
Requisites: Prerequisite, MATH 233.  
Grading Status: Letter grade.  
Same as: MATH 535.  
STOR 445.  Stochastic Modeling.  3 Credits.  

Introduction to Markov chains, Poisson process, continuous-time Markov chains, renewal theory. Applications to queueing systems, inventory, and reliability, with emphasis on systems modeling, design, and control.

Rules & Requirements  
Requisites: Prerequisite, BIOS 660, STOR 435 or 535.  
Grading Status: Letter grade.  
STOR 455.  Methods of Data Analysis.  3 Credits.  

Review of basic inference; two-sample comparisons; correlation; introduction to matrices; simple and multiple regression (including significance tests, diagnostics, variable selection); analysis of variance; use of statistical software.

Rules & Requirements  
Requisites: Prerequisite, STOR 120, or 155.  
Grading Status: Letter grade.  
STOR 471.  Long-Term Actuarial Models.  3 Credits.  

Probability models for long-term insurance and pension systems that involve future contingent payments and failure-time random variables. Introduction to survival distributions and measures of interest and annuities-certain.

Rules & Requirements  
Making Connections Gen Ed: QI.  
Requisites: Prerequisite, STOR 435, or 535.  
Grading Status: Letter grade.  
STOR 472.  Short Term Actuarial Models.  3 Credits.  

Short term probability models for potential losses and their applications to both traditional insurance systems and conventional business decisions. Introduction to stochastic process models of solvency requirements.

Rules & Requirements  
Requisites: Prerequisite, STOR 435, or 535.  
Grading Status: Letter grade.  
STOR 475.  Healthcare Risk Analytics.  3 Credits.  

This course will introduce students to the healthcare industry and provide hands-on experience with key actuarial and analytical concepts that apply across the actuarial field. Using real world situations, the course will focus on how mathematics and the principles of risk management are used to help insurance companies and employers make better decisions regarding employee benefit insurance products and programs.

Rules & Requirements  
Requisites: Prerequisite, STOR 435, or 535.  
Grading Status: Letter grade.  
STOR 490.  Special Topics.  3 Credits.  

Examines selected topics from statistics and operations research. Course description is available from the department office.

Rules & Requirements  
Repeat Rules: May be repeated for credit. 12 total credits. 4 total completions.  
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 493.  Internship in Statistics and Operations Research.  3 Credits.  

Requires permission of the department. Statistics and analytics majors only. An opportunity to obtain credit for an internship related to statistics, operations research, or actuarial science. Pass/Fail only. Does not count toward the statistics and analytics major or minor.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: HI-INTERN.
Making Connections Gen Ed: EE- Academic Internship.  
Repeat Rules: May be repeated for credit. 6 total credits. 2 total completions.  
Grading Status: Pass/Fail.  
IDEAs in Action General Education logoSTOR 496.  Undergraduate Reading and Research in Statistics and Operations Research.  1-3 Credits.  

Permission of the director of undergraduate studies. This course is intended mainly for students working on honors projects. May be repeated for credit.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: RESEARCH.
Making Connections Gen Ed: EE- Mentored Research.  
Repeat Rules: May be repeated for credit; may be repeated in the same term for different topics; 6 total credits. 6 total completions.  
Grading Status: Letter grade.  
STOR 515.  Dynamic Decision Analytics.  3 Credits.  

An introduction to algorithms and modeling techniques that use knowledge gained from prior experience to make intelligent decisions in real time. Topics include Markov decision processes, dynamic programming, multiplicative weights update, exploration vs. exploitation, multi-armed bandits, and two player games.

Rules & Requirements  
Requisites: Prerequisites, STOR 435 or 535, and MATH 347.  
Grading Status: Letter grade.  
STOR 520.  Statistical Computing for Data Science.  4 Credits.  

This course provides hands-on experience working with data sets provided in class and downloaded from certain public websites. Lectures cover basic topics such as R programming, visualization, data wrangling and cleaning, exploratory data analysis, web scraping, data merging, predictive modeling, and elements of machine learning. Programming analyses in more advanced areas of data science. Students may not receive credit for both STOR 320 and STOR 520.

Rules & Requirements  
Requisites: Prerequisites, STOR 435 or 535, and STOR 455.  
Grading Status: Letter grade.  
STOR 535.  Probability for Data Science.  3 Credits.  

This course is an advanced undergraduate course in probability with the aim to give students the technical and computational tools for advanced courses in data analysis and machine learning. It covers random variables, moments, binomial, Poisson, normal and related distributions, generating functions, sums and sequences of random variables, statistical applications, Markov chains, multivariate normal and prediction analytics. Students may not receive credit for both STOR 435 and STOR 535.

Rules & Requirements  
Requisites: Prerequisite, MATH 233.  
Grading Status: Letter grade.  
STOR 538.  Sports Analytics.  3 Credits.  

This course will survey the history of sports analytics across multiple areas and challenge students in team-based projects to practice sports analytics. Students will learn how applied statistics and mathematics help decision makers gain competitive advantages for on-field performance and off-field business decisions.

Rules & Requirements  
Requisites: Prerequisite, STOR 320 or STOR 455.  
Grading Status: Letter grade.  
STOR 555.  Mathematical Statistics.  3 Credits.  

Functions of random samples and their probability distributions, introductory theory of point and interval estimation and hypothesis testing, elementary decision theory.

Rules & Requirements  
Requisites: Prerequisite, STOR 435, or 535.  
Grading Status: Letter grade.  
STOR 556.  Time Series Data Analysis.  3 Credits.  

This course covers the fundamental theory and methods for time series data, as well as related statistical software and real-world data applications. Topics include the autocorrelation function, estimation and elimination of trend and seasonality, estimation and forecasting procedures in ARMA models and nonstationary time series models.

Rules & Requirements  
Requisites: Prerequisites, STOR 435 or 535, and STOR 455.  
Grading Status: Letter grade.  
STOR 557.  Advanced Methods of Data Analysis.  3 Credits.  

The course covers advanced data analysis methods beyond those in STOR 455 and how to apply them in a modern computer package, specifically R or R-Studio which are the primary statistical packages for this kind of analysis. Specific topics include (a) Generalized Linear Models; (b) Random Effects; (c) Bayesian Statistics; (d) Nonparametric Methods (kernels, splines and related techniques).

Rules & Requirements  
Requisites: Prerequisites, STOR 435 or 535, and STOR 455.  
Grading Status: Letter grade.  
STOR 565.  Machine Learning.  3 Credits.  

Introduction to theory and methods of machine learning including classification; Bayes risk/rule, linear discriminant analysis, logistic regression, nearest neighbors, and support vector machines; clustering algorithms; overfitting, estimation error, cross validation.

Rules & Requirements  
Requisites: Prerequisites, STOR 215 or MATH 381, and STOR 435 or 535.  
Grading Status: Letter grade.  
STOR 566.  Introduction to Deep Learning.  3 Credits.  

Deep neural networks (DNNs) have been widely used for tackling numerous machine learning problems that were once believed to be challenging. With their remarkable ability of fitting training data, DNNs have achieved revolutionary successes in many fields such as computer vision, natural language progressing, and robotics. This is an introduction course to deep learning.

Rules & Requirements  
Requisites: Prerequisites, STOR 435 or 535; and COMP 110 or 116.  
Grading Status: Letter grade.  
STOR 572.  Simulation for Analytics.  3 Credits.  

This upper-level-undergraduate and beginning-graduate-level course introduces the concepts of modeling, programming, and statistical analysis as they arise in stochastic computer simulations. Topics include modeling static and discrete-event simulations of stochastic systems, random number generation, random variate generation, simulation programming, and statistical analysis of simulation input and output.

Rules & Requirements  
Requisites: Prerequisites, STOR 120 or 155, and STOR 435 or 535.  
Grading Status: Letter grade.  
STOR 590.  Special Topics in Statistics and Operations Research.  3 Credits.  

Examines selected topics from statistics and operations research. Course description is available from the department office.

Rules & Requirements  
Repeat Rules: May be repeated for credit; may be repeated in the same term for different topics; 12 total credits. 4 total completions.  
Grading Status: Letter grade.  
STOR 612.  Foundations of Optimization.  3 Credits.  

STOR 612 consists of three major parts: linear programming, quadratic programming, and unconstrained optimization. Topics: Modeling, theory and algorithms for linear programming; modeling, theory and algorithms for quadratic programming; convex sets and functions; first-order and second-order methods such as stochastic gradient methods, accelerated gradient methods and quasi-Newton methods for unconstrained optimization.

Rules & Requirements  
Requisites: Prerequisites, MATH 347 and 521 or permission of the instructor.  
Grading Status: Letter grade.  
STOR 614.  Advanced Optimization.  3 Credits.  

STOR 614 consists of three major parts: Integer programming, conic programming, and nonlinear optimization. Topics: modeling, theory and algorithms for integer programming; second-order cone and semidefinite programming; theory and algorithms for constrained optimization; dynamic programming; networks.

Rules & Requirements  
Requisites: Prerequisite, STOR 612 or equivalent (or permission of instructor).  
Grading Status: Letter grade.  
STOR 634.  Probability I.  3 Credits.  

Required preparation, advanced calculus. Lebesgue and abstract measure and integration, convergence theorems, differentiation. Radon-Nikodym theorem, product measures. Fubini theorems. Lp spaces.

Rules & Requirements  
Grading Status: Letter grade.  
STOR 635.  Probability II.  3 Credits.  

Foundations of probability. Basic classical theorems. Modes of probabilistic convergence. Central limit problem. Generating functions, characteristic functions. Conditional probability and expectation.

Rules & Requirements  
Requisites: Prerequisite, STOR 634; permission of the instructor for students lacking the prerequisite.  
Grading Status: Letter grade.  
Same as: MATH 635.  
STOR 641.  Stochastic Models in Operations Research I.  3 Credits.  

Review of probability, conditional probability, expectations, transforms, generating functions, special distributions, and functions of random variables. Introduction to stochastic processes. Discrete-time Markov chains. Transient and limiting behavior. First passage times.

Rules & Requirements  
Requisites: Prerequisite, STOR 435 or 535; permission from the instructor for students lacking the prerequisite.  
Grading Status: Letter grade.  
STOR 642.  Stochastic Models in Operations Research II.  3 Credits.  

Exponential distribution and Poisson process. Birth-death processes, continuous-time Markov chains. Transient and limiting behavior. Applications to elementary queueing theory. Renewal processes and regenerative processes.

Rules & Requirements  
Requisites: Prerequisite, STOR 641.  
Grading Status: Letter grade.  
STOR 654.  Statistical Theory I.  3 Credits.  

Required preparation, two semesters of advanced calculus. Probability spaces. Random variables, distributions, expectation. Conditioning. Generating functions. Limit theorems: LLN, CLT, Slutsky, delta-method, big-O in probability. Inequalities. Distribution theory: normal, chi-squared, beta, gamma, Cauchy, other multivariate distributions. Distribution theory for linear models.

Rules & Requirements  
Grading Status: Letter grade.  
STOR 655.  Statistical Theory II.  3 Credits.  

Point estimation. Hypothesis testing and confidence sets. Contingency tables, nonparametric goodness-of-fit. Linear model optimality theory: BLUE, MVU, MLE. Multivariate tests. Introduction to decision theory and Bayesian inference.

Rules & Requirements  
Requisites: Prerequisite, STOR 654.  
Grading Status: Letter grade.  
STOR 664.  Applied Statistics I.  3 Credits.  

Permission of the instructor. Basics of linear models: matrix formulation, least squares, tests. Computing environments: SAS, MATLAB, S+. Visualization: histograms, scatterplots, smoothing, QQ plots. Transformations: log, Box-Cox, etc. Diagnostics and model selection.

Rules & Requirements  
Grading Status: Letter grade.  
STOR 665.  Applied Statistics II.  3 Credits.  

ANOVA (including nested and crossed models, multiple comparisons). GLM basics: exponential families, link functions, likelihood, quasi-likelihood, conditional likelihood. Numerical analysis: numerical linear algebra, optimization; GLM diagnostics. Simulation: transformation, rejection, Gibbs sampler.

Rules & Requirements  
Requisites: Prerequisite, STOR 664; permission of the instructor for students lacking the prerequisite.  
Grading Status: Letter grade.  
STOR 672.  Simulation Modeling and Analysis.  3 Credits.  

Introduces students to modeling, programming, and statistical analysis applicable to computer simulations. Emphasizes statistical analysis of simulation output for decision-making. Focuses on discrete-event simulations and discusses other simulation methodologies such as Monte Carlo and agent-based simulations. Students model, program, and run simulations using specialized software. Familiarity with computer programming recommended.

Rules & Requirements  
Requisites: Prerequisites, STOR 555 and 641.  
Grading Status: Letter grade.  
Same as: COMP 672.  
STOR 674.  Statistical and Computational Tools for Reproducible Data Science.  3 Credits.  

The purpose of this course is to provide a strong foundation in computational skills needed for reproducible research in data science and statistics. Topics will include computational tools and programming skills to facilitate reproducibility, as well as procedures and methods for reproducible conclusions.

Rules & Requirements  
Requisites: Prerequisite, STOR 320 or 664.  
Grading Status: Letter grade.  
STOR 690.  Special Topics.  3 Credits.  

Examines selected topics from statistics and operations research. Course description is available from the department office.

Rules & Requirements  
Repeat Rules: May be repeated for credit. 12 total credits. 4 total completions.  
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 691H.  Honors in Statistics and Analytics.  3 Credits.  

Permission of the department. Majors only. Individual reading, study, or project supervised by a faculty member.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: RESEARCH.
Making Connections Gen Ed: EE- Mentored Research.  
Grading Status: Letter grade.  
IDEAs in Action General Education logoSTOR 692H.  Honors in Statistics and Analytics.  3 Credits.  

Permission of the department. Majors only. Individual reading, study, or project supervised by a faculty member.

Rules & Requirements  
IDEAs in Action General Education logo IDEAs in Action Gen Ed: RESEARCH.
Making Connections Gen Ed: EE- Mentored Research.  
Grading Status: Letter grade.  

Department of Statistics and Operations Research

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318 Hanes Hall, CB# 3260

(919) 843-6024

Chair

Vladas Pipiras

Director of Undergraduate Studies

Mariana Olvera-Cravioto

molvera@email.unc.edu

Administrative Support Associate

stor@unc.edu