SemesterFall Semester, 2025
DepartmentPhD Program of Statistics, First Year PhD Program of Statistics, Second Year
Course NameTopics in Mathematical Statistics
InstructorHUANG TZEE-MING
Credit3.0
Course TypeRequired
Prerequisite
Course Objective
Course Description
Course Schedule
























週次 Week 課程主題 Course Theme 課程內容與指定閱讀 Content and Reading Assignment 教學活動與作業 Activity and Homework 學習投入時數 Estimated time devoted to coursework per week
課堂講授 Lecture Hours 課程前後 Preparation Time

1-16

 


Please see the list below.


 


Please see the list below.


 


Homework assignments will be given in class.
3.0
0-3




























































Week/Content/ Chapter(s)
1 Probability Theory Review 1
2 Population and Samples, Exponential Family. 2.1
3 Sufficient Statistics 2.2
4 Complete Statistics, Decision Theory 2.2-2.3
5, 6 Holiday
7 Decision Theory 2.3
8 UMVUE 3.1
9 Invariance 4.2
10 Invariance 4.2
11 Bayesian Estimation 4.1
12 Bayesian Estimation 4.1
13 Minimax and Admissibility 4.3
14 Minimax and Admissibility 4.3
15 Asymptotic Efficient Estimation 4.5
16 Asymptotic Efficient Estimation 4.5


Teaching Methods
Teaching Assistant
Requirement/Grading

Homework 100%


Textbook & Reference

Mathematical Statistics by Jun Shao


Urls about Course
https://stat.walkup.tw/teaching/math_stat/F25/syllabus.pdf
Attachment

syllabus.pdf