| Academic Year |
2025Year |
School/Graduate School |
School of Science |
| Lecture Code |
HB330000 |
Subject Classification |
Specialized Education |
| Subject Name |
確率・統計Ｃ |
Subject Name
（Katakana） |
カクリツ・トウケイC |
Subject Name in
English |
Probability and Mathematical Statistics C |
| Instructor |
To be announced.,INOUE AKIHIKO |
Instructor
(Katakana) |
タントウキョウインミテイ,イノウエ アキヒコ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
4th-Year, Second Semester, 3Term |
| Days, Periods, and Classrooms |
(3T) Tues9-10,Fri1-2 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
Face-to-face |
| To be announced by the teacher. |
| Credits |
2.0 |
Class Hours/Week |
4 |
Language of Instruction |
J
:
Japanese |
| Course Level |
4
:
Undergraduate Advanced
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
01
:
Mathematics/Statistics |
| Eligible Students |
|
| Keywords |
probability space, random variable, distribution, expectation, independence, convergence of random variables, limit theorems |
| 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 |
Measure-theoretic probability theory |
| Class Schedule |
Probability space and events, Random variables and their distributions, Independence of events and random variables, Dynkin's lemma, Expectation, Examples of distributions, Law of large numbers,Independence and distributions, Characteristic functions, Convergence in probability and Chebyshev's inequality, Lp-convergence and convergence in law, Convergence in law and characteristic functions, Central limit theorem |
Text/Reference
Books,etc. |
To be announced by the teacher. |
PC or AV used in
Class,etc. |
|
| (More Details) |
|
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
Review the contents of the lectures |
| Requirements |
|
| Grading Method |
To be announced by the teacher |
| 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. |