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Course Criteria
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3.00 Credits
PQ: MATH 20000 or 20500, or consent of instructor. This course covers fundamentals and axioms; combinatorial probability; conditional probability and independence; binomial, Poisson, and normal distributions; the law of large numbers and the central limit theorem; and random variables and generating functions. Spring.
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3.00 Credits
PQ: STAT 24400 or 25100. This course introduces stochastic processes as models for a variety of phenomena in the physical and biological sciences. Following a brief review of basic concepts in probability, we introduce stochastic processes that are popular in applications in sciences (e.g., discrete time Markov chain, the Poisson process, continuous time Markov process, renewal process and Brownian motion). Winter.
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3.00 Credits
PQ: STAT 24400-24500 or 22400, or consent of instructor. This course considers the modeling and analysis of data that are ordered in time. The main focus is on quantitative observations taken at evenly spaced intervals and includes both time-domain and spectral approaches. Spring.
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3.00 Credits
PQ: Prior statistics course. This course covers topics in the history of statistics, from the eleventh century to the middle of the twentieth century. We focus on the period from 1650 to 1950, with an emphasis on the mathematical developments in the theory of probability and how they came to be used in the sciences. Our goals are both to quantify uncertainty in observational data and to develop a conceptual framework for scientific theories. This course includes broad views of the development of the subject, and closer looks at specific people and investigations, including reanalyses of historical data. S. Stigler. Spring.
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3.00 Credits
PQ: Consent of faculty adviser and departmental counselor. Students are required to submit the College Reading and Research Course Form. Open to students who are majoring in statistics and nonmajors. May be taken either for quality grades or for P/F grading; however, students who wish to count this course toward the requirements for a major in statistics must receive prior approval of the departmental counselor and must receive a quality grade. This course consists of reading and research in an area of statistics or probability under the guidance of a faculty member. A written report must be submitted at the end of the quarter. Autumn, Winter, Spring.
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3.00 Credits
PQ: Consent of faculty adviser and departmental counselor. Students are required to submit the College Reading and Research Course Form. Open only to students who are majoring in statistics. May be taken for P/F grading. Credit for STAT 29900 may not be counted toward the twelve courses required for a major in statistics. This course consists of reading and research in an area of statistics or probability under the guidance of a faculty member, leading to a bachelor's paper. The paper must be submitted at the end of the quarter. Autumn, Winter, Spring. The following list of 30000-level courses may be of interest to students with advanced standing who are majoring in statistics. For more information, consult the departmental counselor. For a complete listing and updates, visit galton.uchicago.edu/.
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3.00 Credits
PQ: STAT 30400 or consent of instructor. This course surveys the mathematical structure of modern statistics. Topics include statistical models, methods for parameter estimation, comparison of estimators, large sample theory, efficiency, confidence sets, theory of hypothesis tests, elements of linear hypothesis theory, analysis of discrete data, and an introduction to Bayesian analysis. Winter, Spring.
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3.00 Credits
PQ: STAT 24500 and MATH 20500, or consent of instructor. This course is a systematic introduction to random variables and probability distributions. Topics include standard distributions (i.e., uniform, normal, beta, gamma, F, t, Cauchy, Poisson, binomial, and hypergeometric), moments and cumulants, characteristic functions, exponential families, modes of convergence, central limit theorem, and Laplace's method. Autumn.
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3.00 Credits
PQ: STAT 34300 or consent of instructor. This course covers topics in numerical methods and computation that are useful in statistical research (e.g., simulation, random number generation, Monte Carlo methods, quadrature, optimization, matrix methods). Autumn.
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3.00 Credits
PQ: STAT 25100 and MATH 20500. This course introduces stochastic processes not requiring measure theory. Topics include branching processes, recurrent events, renewal theory, random walks, Markov chains, Poisson, and birth-and-death processes. Winter.
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