统计数学网课代修 | ST 421/521 Syllabus Introduction to Mathematical Statistics

本次北美作业案例分享主要为统计数学网课代修ST 421/521 Introduction to Mathematical Statistics，以下为该门课程的syllabus

Both lectures and recitations will be delivered synchronously during the scheduled times.
Attendance to lecture and recitation is required. There will be graded in-class activities during the lectures. But all the lectures and recitations will be recorded. You are allowed to submit your work for the in-class activity until 12pm of the day.
Textbook

Mathematical Statistics with Applications, 7th Edition, byWacherly, Mandenhall and Scheaf-fer.

Prerequisite

First term of vector calculus (MTH 253 or MTH 254). In order to succeed in ST 421/521,every student must have strong current knowledge of calculus. Students are strongly urged to review the Calculus Topic List. Students should complete the Canvas Quiz on calcu-lus exercises as a self-check of their calculus skills.The exercises, however, should NOT be considered an exclusive list of mathematical skills necessary for this course.

Course Website

This course will be taught remotely through zoom. Course information and announcements will be posted on the Canvas. It is your responsibility to check canvas regularly for updates.
All quizzes and examinations will be conducted through Canvas as well.

Description

ST421/521 is the first course of the mathematical statistics sequence. This course focuses on the introduction to probability theory and basic concepts on random variables. It provides a mathematical foundation for statistical inference. We will cover most of the materials from Chapters 1-6 of the textbook.

Chapter 1: 1-1, 1-3 Chapter 4: 4-1 through 4-10
Chapter 2: 2-3 through 2-11 Chapter 5: 5-1 through 5-11
Chapter 3: 3-1 through 3-10 Chapter 6: 6-1 through 6-7

Learning outcomes

Students will be able to recognize sampling situations calling for the use of models frequently encountered in statistical applications, and will be able to perform relevant calculations for these models. They will be able to perform probability calculations for both discrete and continuous random variables, including means,variances, moment generating functions,conditional, joint and marginal distributions. They will be able to perform transformations of random variables when appropriate.

Homework

Problems will be assigned throughout the week but will not be collected.
Examinations

ˆ There will be ve quizzes. The quizzes will be held on Mondays and Wednesdays during lecture times. Each quiz will consist of one or two problems identical or nearly identical to the assigned homework problems. There will be no makeup quizzes.

ˆ There will be one midterms, and one nal. The nal will be cumulative.

ˆ All exams and quizzes will be held during lecture times. But you are allowed to submit your work until 12pm of the day through canvas. If you are unable to take the exam, contact the instructor before the exam. The excuses must be veri able. An unexcused, missed exam will be counted zero.

The schedule for exams are:

Quiz 1 Wednesday, June 23 Quiz 2 Monday, June 28 Quiz 3 Wednesday, June 30
Midterm Wednesday, July 7 Quiz 4 Monday, July 12 Quiz 5 Wednesday, July 14
Final Thursday, July 15