| Academic Year |
2025Year |
School/Graduate School |
School of Science |
| Lecture Code |
HB380000 |
Subject Classification |
Specialized Education |
| Subject Name |
確率統計特殊講義 |
Subject Name
（Katakana） |
カクリツトウケイトクシュコウギ |
Subject Name in
English |
Topics in Probability and Mathematical Statistics |
| Instructor |
WAKAKI HIROFUMI |
Instructor
(Katakana) |
ワカキ ヒロフミ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
4th-Year, First Semester, 1Term |
| Days, Periods, and Classrooms |
(1T) Mon3-4,Weds3-4：ECON B157 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
Face-to-face |
| Lecture |
| Credits |
2.0 |
Class Hours/Week |
4 |
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 |
normal distribution, chi-square distribution, wishart distribution, t-distribution, F-distribution, poisson distribution, hyper-geometric distribution |
| 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) | Mathematics
（Knowledge and Understanding）
・Acquiring knowledge and vision on advanced theories as an extension of core theory of modern mathematics. |
|---|
Class Objectives
/Class Outline |
Definitions and properties of several distributions of statistics, which are needed in basic inference are explained. |
| Class Schedule |
lesson1：Population and statistical model
lesson2：Test for population means
lesson3：Welch's test
lesson4：Analysis of variance
lesson5：Test related to a contingency table
lesson6：Test for mean vectors
lesson7：Multivariate normal distribution
lesson8：Wishart distribution
lesson9：Jacobian of matrix transformations
lesson10：Property of wishart dsitribution
lesson11回：Hoteling's T2 statistic
lesson12：Multivariate analysis of variance
lesson13：Wilks' lambda distribution
lesson14：Multivariate matrix beta distribution
lesson１5回：Multivariate matrix F distribution
reports |
Text/Reference
Books,etc. |
Distribute handouts as necessary |
PC or AV used in
Class,etc. |
Handouts |
| (More Details) |
Slides are used sometimes. |
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
Ask questions soon in the class or after the class if you cannot understand |
| Requirements |
|
| Grading Method |
reports |
| 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. |