Hiroshima University Syllabus

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Japanese
Academic Year 2024Year School/Graduate School Graduate School of Advanced Science and Engineering (Master's Course) Division of Advanced Science and Engineering Mathematics Program
Lecture Code WSA52000 Subject Classification Specialized Education
Subject Name 確率統計基礎講義B
Subject Name
(Katakana)
カクリツトウケイキソコウギビー
Subject Name in
English
Probability and Mathematical Statistics B
Instructor IMORI SHINPEI,YANAGIHARA HIROKAZU,ODA RYOYA,WAKAKI HIROFUMI
Instructor
(Katakana)
イモリ シンペイ,ヤナギハラ ヒロカズ,オダ リョウヤ,ワカキ ヒロフミ
Campus Higashi-Hiroshima Semester/Term 1st-Year,  First Semester,  1Term
Days, Periods, and Classrooms (1T) Mon5-6,Thur7-8:SCI E104
Lesson Style Lecture Lesson Style
(More Details)
 
Lecture 
Credits 2.0 Class Hours/Week   Language of Instruction J : Japanese
Course Level 5 : Graduate Basic
Course Area(Area) 25 : Science and Technology
Course Area(Discipline) 01 : Mathematics/Statistics
Eligible Students
Keywords Hypothesis testing, Point estimation, Decision theory 
Special Subject for Teacher Education   Special Subject  
Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students)
 
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students)
 
Class Objectives
/Class Outline
Understand the formulation and optimization of statistical inference 
Class Schedule Lecture 1
Least Squares (OLS) and Maximum Likelihood Estimation (MLE)
Lecture 2
Uniformly Minimum Variance Unbiased Estimator
Lecture 3
A Sufficient Statistics for a parameter
Properties of Sufficient Statistics
Lecture 4
Complete and Sufficient Statistics
The Exponential Family of Distributions
Lecture 5
Asymptotic Properties of MLEs
Lecture 6
Asymptotic Properties of MLEs: Consistency
Lecture 7
Asymptotic Properties of MLEs: Asymptotic Normality
Lecture 8
Interval estimation
Lecture 9
Hypothesis Testing
Lecture 10
Neyman-Pearson Theorem
Lecture 11
Most Powerful Tests
Uniformly Most Powerful Tests
Lecture 12
Randomization Tests
Lecture 13
Unbiased Tests
Lecture 14
Likelihood Ratio Tests
Lecture 15
Two other tests related to likelihood

Report

The class schedule may be changed due to the progress.  
Text/Reference
Books,etc.
確率・統計の数学的基礎(藤越,若木,柳原著:広島大学出版会)

If English textbooks are required, please let me know.  
PC or AV used in
Class,etc.
 
(More Details) Blackboard and PowerPoint slides will be used. 
Learning techniques to be incorporated  
Suggestions on
Preparation and
Review
Please do not hesitate to ask me if you have any (minor) questions.  
Requirements  
Grading Method Report (100%) 
Practical Experience  
Summary of Practical Experience and Class Contents based on it  
Message  
Other   
Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching. 
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