Objective
- The purpose of this course is to introduce you to topics in mathematical statistics. Similar to STAT/MATH 511, this course is a mix of application and mathematical theory. STAT 512 will serve as a basis for the material to be covered in STAT 513.
Course Outline
- Chapters 6 ~ 9 of the Wackerly, Mendenhall, and Scheaffer textbook. Topics covered include:
- distributions of functions of random variables (distribution function technique, transformations, moment-generating function technique), order statistics,
- t and F distributions, the Central Limit Theorem,
- interval estimation,
- effciency, suffcient statistics, MVUE estimation, method of moments, maximum likelihood estimation, and large-sample theory.
Learning Outcomes
- Successful students will be able to use the theory of mathematical statistics to:
- derive and understand distributions of functions of random variables
- understand important results about sampling distributions
- derive and understand point and interval estimators
- judge the quality of various estimators
Homework
- Homework assignments will be posted periodically on the course web page and will be due on the specified date given. There will be 5 or 6 homework assignments.
- Late homework will be accepted within a week from the due date with 25% penalty.
- You must write your homework solutions NEATLY. You must present your solutions in the order that the problems are assigned. Handwritten solutions are fine, but if you type solutions, you should use either LaTex or MS Word’s Equation Editor for the mathematical equations.
- Each student’s homework must be done INDEPENDENTLY. You may ask each other informal questions about the homework, but everyone is to do his or her own work. In other words, students can ask each other informal ORAL questions about homework, but cannot look at or copy each other’s homework papers.
- If homework is found to be copied, all students involved will receive a 0.
Quizzes
- There will be 10 ~ 12 unannounced short (about 5 minutes) quizzes during class at random times.
- Quizzes will usually be given near the end of class, but may be given at the beginning of class occasionally.
- None of these quizzes may be made up; however, only your best 8 scores on these quizzes will be counted toward your grade.
- If you miss a quiz, it will be one of the quiz grades that are dropped when the quiz average is calculated.
- The quizzes will consist of simple questions based on the material discussed during lecture.
Scribing
- Students are required to do scribing two lectures to get the full credit on this assignment.
- The scribed note needs to be NEAT and CLEAR as it will be posted on the course website.
- Students need to submit the notes in the beginning of the following lecture.
- It can be done up to five lectures and additional notes would be counted for extra credit.
- There is a maximum of two scribes per lecture.
Exams
- There will be an in-class midterm exam (tentatively July 14) and an in-class Final exam which will begin at 12:30 PM on August 11.
- Exams may not normally be made up, except in extreme circumstances, for which written documentation of excuse (doctor’s note, funeral notice, etc.) is required.
- If you suspect you may miss an exam day, it is important to contact me well in advance of the test date.
Cell Phone and Other Devices
- No cell phones are allowed during class. You may not use a cell phone in place of a calculator.
- Students may not use tablets or laptops to look at web pages, play games, etc.
Attendance
- Regular attendance is important.
- Attendance will be required according to the University policy.
Honor Code
- See the Carolinian Creed in the Carolina Community: Student Handbook & Policy Guide.
Assignment and Grading
Homework |
25% |
|
A |
90-100% |
Quiz |
8% |
|
B/B+ |
80-86%/87-89% |
Scribing |
2% |
|
C/C+ |
70-76%/77-79% |
Midterm |
30% |
|
D/D+ |
60-66%/67-69% |
Final |
35% |
|
F |
<60% |
Total |
100% |
|
|
|