| Academic Year |
2024Year |
School/Graduate School |
School of Science |
| Lecture Code |
HB320000 |
Subject Classification |
Specialized Education |
| Subject Name |
確率・統計Ｂ |
Subject Name
（Katakana） |
カクリツ・トウケイB |
Subject Name in
English |
Probability and Mathematical Statistics B |
| Instructor |
YANAGIHARA HIROKAZU |
Instructor
(Katakana) |
ヤナギハラ ヒロカズ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
3rd-Year, Second Semester, 3Term |
| Days, Periods, and Classrooms |
(3T) Tues7-8,Thur1-2：SCI E210 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
|
| Lecture |
| 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 |
B3 |
| Keywords |
low of large numbers, central limit theorem, population and sample, estimation |
| 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 |
Study theorems on convergence of ramdom variable, derivation of the distribution of statistics, and estimations |
| Class Schedule |
lesson1:Review contents of "Probability and Mathematical Statistics A"
lesson2-4: Convergence of random variables
convergence in probability and in distribution, low of large numbers, central limit theorem, almost sure convergence, asymptotic theories
lesson5-8: Population distribution and statistical models
sample, population distribution and statistical models, distributions of statistics, order statistics
lesson9-12: Estimation
point estimation, least square method, unbiased estimator, likelihood method, interval estimation
lesson12-15: Testing hypothesis
lesson 15: Exercise |
Text/Reference
Books,etc. |
「確率・統計の数学的基礎」（藤越、若木、栁原著） |
PC or AV used in
Class,etc. |
|
| (More Details) |
|
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
Read the text book before each lecture and solve the problems in it. |
| Requirements |
|
| Grading Method |
result of tests |
| 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. |