| Academic Year |
2026Year |
School/Graduate School |
Graduate School of Advanced Science and Engineering (Master's Course) Division of Advanced Science and Engineering Mathematics Program |
| Lecture Code |
WSA61000 |
Subject Classification |
Specialized Education |
| Subject Name |
総合数理基礎講義Ａ |
Subject Name
（Katakana） |
ソウゴウスウリキソコウギエー |
Subject Name in
English |
Geometric and Algebraic Analysis A |
| Instructor |
HASHIMOTO SHINTARO |
Instructor
(Katakana) |
ハシモト シンタロウ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
1st-Year, First Semester, 1Term |
| Days, Periods, and Classrooms |
(1T) Mon1-4：IAS C808 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
Face-to-face |
| Lecture |
| Credits |
2.0 |
Class Hours/Week |
4 |
Language of Instruction |
B
:
Japanese／English |
| Course Level |
6
:
Graduate Advanced
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
01
:
Mathematics/Statistics |
| Eligible Students |
|
| Keywords |
Bayesian statistics; Hierarchical models; Markov chain Monte Carlo methods |
| 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 theory and methods of Bayesian statistical inference |
| Class Schedule |
lesson1 Introduction
lesson2 Bayes theorem
lesson3 Bayesian inference (I)
lesson4 Bayesian inference (II)
lesson5 Bayesian inference (III)
lesson6 Markov chain Monte Carlo methods (I)
lesson7 Bayesian inference (IV)
lesson8 Markov chain Monte Carlo methods (II)
lesson9 Multivariate normal distribution
lesson10 Hierarchical models (I)
lesson11 Hierarchical models (II)
lesson12 Bayesian linear regression models (I)
lesson13 Bayesian linear regression models (II)
lesson14 Markov chain Monte Carlo methods (III)
lesson15 Summary
Report |
Text/Reference
Books,etc. |
Peter D. Hoff, A First Course in Bayesian Statistical Methods, Springer, 2009.
|
PC or AV used in
Class,etc. |
|
| (More Details) |
Blackboard, PC, Projector |
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
Study a reference |
| Requirements |
|
| Grading Method |
Report |
| 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. |