| Academic Year |
2024Year |
School/Graduate School |
School of Science |
| Lecture Code |
HB220000 |
Subject Classification |
Specialized Education |
| Subject Name |
確率・統計Ａ |
Subject Name
（Katakana） |
カクリツ・トウケイA |
Subject Name in
English |
Probability and Mathematical Statistics A |
| Instructor |
IMORI SHINPEI |
Instructor
(Katakana) |
イモリ シンペイ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
3rd-Year, First Semester, 2Term |
| Days, Periods, and Classrooms |
(2T) Mon1-2,Thur5-6：SCI E211 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
|
| |
| Credits |
2.0 |
Class Hours/Week |
|
Language of Instruction |
J
:
Japanese |
| Course Level |
3
:
Undergraduate High-Intermediate
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
01
:
Mathematics/Statistics |
| Eligible Students |
|
| Keywords |
Probability space, conditional probability, random variable, distribution, expectation, conditional expectation, characteristic function, SDG_04 |
| 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）
・Understanding on primary theory of modern mathematics established on classical theory.
（Abilities and Skills）
・To acquire basic mathematical abilities (Ability to understand concepts, calculation ability, argumentation ability). |
|---|
Class Objectives
/Class Outline |
To understand concepts and properties of probability space, random variable and distribution |
| Class Schedule |
lesson1 Definition of probability space 1 (sample space and event, limit set)
lesson2 Definition of probability space 2 (probability measure, basic properties of probability measure)
lesson3 Construction of probability space (extension theorem of probability measure, product probability space)
lesson4 Conditional probability, independence of events
lesson5 Distribution of random variable (definition, distribution function)
lesson6 Independence of multivariate random variables
lesson7 Midterm examination
lesson8 Distribution of discrete random variable
lesson9 Distribution of continuous random variable
lesson10 Distributions of discrete and continuous multivariate random variables
lesson11 Expectation of random variable and tis basic properties
lesson12 Feature values of distribution
lesson13 Conditional distribution
lesson14 Conditional expectation
lesson15 Characteristic function
The class schedule may be changed due to the progress. |
Text/Reference
Books,etc. |
確率・統計の数学的基礎（藤越康祝，若木宏文，柳原宏和著，広大出版, 電子版）
If English textbooks are required, please let me know. |
PC or AV used in
Class,etc. |
|
| (More Details) |
|
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
You should study the next chapter by reading the text carefully, and should solve any dubious points of the class by reviewing the class. You should solve exercise problems of the text and Probability and Mathematical Statistics A Exercise for your understanding.
|
| Requirements |
I recommend taking the lecture on Analysis A and Probability and Mathematical Statistics A Exercise at the same time. |
| Grading Method |
Attitude (10%) and Examinations (90%) |
| 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. |