Syllabus
Instructor: Tianyu Zhang
Contact: bidenbaka@gmail.com
Website: tymathdb.com/tutorial/statistical-inference
Level: Senior Undergraduate, Graduate
Time: Spring 2023
Recitation Time: TBD
Prerequisite:
Audience should be comfortable with probability theory, mathematical statistics. It is recommended that the audience is better to be equipped with
knowledge of topology and functional analysis.
Abstract:
Statistical Inference is one of the most important books in the study of statistics, we will talk about statistical concepts and methodologies as well
as some mathematical approaches to them, it is also designed to cover some related research topic in statistics.
Book: Statistical Inference, Casella
Syllabus:
Part I: Basic Concepts
Lecture 1: 5.1 – 5.4
Lecture 2: 5.5, 5.6, 5.8
Lecture 3: 6.1 – 6.2
Lecture 4: 6.3, 6.4, 6.6
Part II: Estimations, Tests, and Evaluations
Lecture 5: 7.1 – 7.2
Lecture 6: 7.3, 7.5
Lecture 7: 8.1 – 8.2
Lecture 8: 8.3, 8.5
Lecture 9: 9.1, 9.2
Lecture 10: 9.3, 9.5
Lecture 11: 10.1 – 10.2
Lecture 12: 10.3, 10.4, 10.6
Part III: Analysis of Variances and Regression Models
Lecture 13: 11.1-11.2
Lecture 14: 11.3, 11.5
Lecture 15: 12.1 – 12.2
Lecture 16: 12.3, 12.4, 12.6
In Recitations we will talk about the exercises in the book, the time is TBD.