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How do we estimate unknown parameters and express the uncertainty we have in our estimate? Is there an estimator that works best? Many topics from introductory statistics such as random variables, the central limit theorem, point and interval estimation and hypotheses testing will be revisited and put on a more rigorous mathematical footing. The focus is on maximum likelihood estimators and their properties. Bayesian and computer intensive resampling techniques (e.g., the bootstrap) will also be considered.
Format: lecture; For the Spring 2021 semester, synchronous zoom lectures are planned, where the instructor uses Google's jamboard to interact with students
Grading: no pass/fail option,
yes fifth course option
Homework, Quizzes, Exams
MATH 250, STAT 201 or 202, STAT 341
A rigourous mathematical course laying the foundation for reasoning with data