Course description

The first of a two-part sequence on: Probability, random variables, discrete and continuous distributions, order statistics, limit theorems, point and interval estimation, uniformly most powerful tests, likelihood ratio tests, chi-square and F tests, nonparametric tests. PREREQ: MATH 3326 and MATH 3352. Offered Odd Years in the Fall Semester.

For this sequence of courses, we will stick closely to Chapters 1-10 of the third edition of “Mathematical Statistics and Data Analysis”, by John A. Rice. This is a well-known textbook to use as an introduction to mathematical statistics at the advanced undergraduate level.

Tentatively, we will plan on covering the material in Chapters 1-6 in Math 4450, and Chapters 7-10 in Math 4451.


Class notes

  1. Chapter 1: Probability

  2. Chapter 2: Random Variables

  3. Chapter 3: Joint Distributions

  4. Chapter 4: Expected Values

  5. Chapter 5: Limit Theorems

  6. Chapter 6: Distributions Derived from the Normal Distribution


Homework and participation assignments

Please read the grading rubric before submitting homework.


Midterm


Final Exam

The final exam will be help in our regular classroom on Dec 18, 10:00 a.m. – 12:00 p.m. The final exam will be comprehensive, closed book.


Acknowledgements and License

This course and the code involved are made available with an MIT license. Some components follow a Creative Commons Attribution non-commercial license. A longer list of acknowledgments is available.