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## ST421 - Introduction to Mathematical Statistics I

- Prerequisites: MA242 (Calculus III) or equivalent
- Term & Frequency: Fall and Summer I
- Student Audience: Sophomore or higher students in Statistics and related fields
- Credit: 3 credits
- Recent Texts: Mathematical Statistics with Applications, 7th Edition by Wackerly, Mendenhall, and Schaeffer
- Recent Instructors: Justin Post, Wenbin Lu
- Background and Goals: This course is the first part of a two-course sequence, ST421-422. The main objective is to present techniques and basic results of probability and mathematical statistics at a rigorous but not advanced level. ST421 covers probabilistic models for and properties of random variables and vectors, common probability distributions, and large sample results. Students taking this course will have completed three semesters of calculus and had some exposure to basic probability and statistics.
- Content: Probability basics; Probabilistic models for discrete random variables; Probabilistic models for continuous random variables; Probabilistic models for multivariate random variables; Transforming and combining random variables; Sampling distributions related to the normal and the central limit theorem.
- Alternatives: ST 521, ST 501
- Subsequent Courses: ST422

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