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Probability And Statistics (MTH-550)


Semester: Fall 2020
Number: 0144-550-001
Instructor: Nara Yoon
Days: Monday 6:00 pm - 8:30 pm
Note: Hybrid Online/In-Person Class
Location: Garden City - Hagedorn Hall of Enterprise 204
Credits: 3
Notes:

Open Only To Students In The M.S. In Mathematics

Course Materials: View Text Books
Description:

Students explore advanced probability and statistics from the point-of-view of measure theory. Students will also explain expectation distributions, laws of large numbers, and central limit theorems. Additionally, students will be exposed to a theoretical treatment of statistical inference and will apply sufficiency, estimation, hypothesis testing, and nonparametric methods.

Learning Goals:   ● Apply the techniques of measure theory. This will be assessed by Quiz 1 and the mid-term examination. ● Explain the measure-theoretic formulation of probability theory. This will be assessed by Quizzes 2 & 3, and the mid-term examination. ● Explain the classical theory of sums of independent random variables: laws of large numbers. This will be assessed by the mid-term examination. ● Explain technical topics relating to notions of convergence, a.s. convergence techniques. This will be assessed by the mid-term examination. ● Apply conditional distributions and conditional expectations. This will be assessed by Quizzes 2 & 3, and the mid-term examination. ● Explain unbiased estimation. This will be assessed by Quiz 4-6, and the mid-term examination. ● Apply parametric estimation. This will be assessed by Quizzes 7 & 8, and the final examination. ● Apply nonparametric estimation. This will be assessed by Quiz 9, and the final examination. ● Apply hypothesis testing. This will be assessed by Quiz 10 and the final examination.

*The learning goals displayed here are those for one section of this course as offered in a recent semester, and are provided for the purpose of information only. The exact learning goals for each course section in a specific semester will be stated on the syllabus distributed at the start of the semester, and may differ in wording and emphasis from those shown here.

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