| Academic Year |
2024Year |
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 |
INOUE AKIHIKO |
Instructor
(Katakana) |
イノウエ アキヒコ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
4th-Year, Second Semester, 4Term |
| Days, Periods, and Classrooms |
(4T) Weds5-6,Fri7-8 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
|
| Lectures using an iPad |
| Credits |
2.0 |
Class Hours/Week |
|
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 |
lesson1: Probability space and events
lesson2: Random variables and their distributions
lesson3: Independence of events and random variables
lesson4: Dynkin's lemma
lesson5: Expectation
lesson6: Examples of distributions
lesson7: Law of large numbers
lesson8: Independence and distributions
lesson9: Characteristic functions
lesson10: Convergence in probability and Chebyshev's inequality
lesson11: Lp-convergence and convergence in law
lesson12: Slutzky's theorem
lesson13: Quantile functions
lesson14: Convergence in law and characteristic functions
lesson15: Central limit theorem
An assignment will be given for each study week. |
Text/Reference
Books,etc. |
Handouts |
PC or AV used in
Class,etc. |
|
| (More Details) |
Mainly iPad |
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
Review the contents in the handouts. |
| Requirements |
|
| Grading Method |
Post-class 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. |