2020 Faculty Courses School of Engineering Undergraduate major in Electrical and Electronic Engineering
Applied Probability and Statistical Theory
- Academic unit or major
- Undergraduate major in Electrical and Electronic Engineering
- Instructor(s)
- Kotaro Kajikawa / Kei Sakaguchi
- Class Format
- Lecture (Zoom)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 1-2 Tue (S011) / 1-2 Fri (S011)
- Class
- -
- Course Code
- EEE.M231
- Number of credits
- 200
- Course offered
- 2020
- Offered quarter
- 3Q
- Syllabus updated
- Jul 10, 2025
- Language
- Japanese
Syllabus
Course overview and goals
It is vital to acquire knowledge and skills in statistics and probability in various fields related to electrical engineering and information communication engineering. By combining lectures and exercises, the course enables students to understand and learn the fundamentals of mean, variance, characteristic function, etc. in the first part (probability) and those of unbiased estimation, maximum likelihood estimation, hypothesis testing, etc. in the second part (statistics).
The ability to derive statistically significant information will be very useful in the real world.
Course description and aims
Students will be able to learn how to analyze data in various fields related to electrical engineering and information communication engineering by using probablistic methods and statistical techniques. The course provides specific examples in engineering, which will give a deeper understanding. Many practical exercises and exams will enable students to acquire knowledge effectively.
Corresponding educational goals are:
(1) Specialist skills Fundamental specialist skills
(6) Firm fundamental specialist skills on electrical and electronic engineering, including areas such as electromagnetism, circuits, linear systems, and applied mathematics
Keywords
Probability, Mean, Variance, Maximum likelihood estimation, Hypothesis testing
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
- ・Fundamental specialist skills on EEE
Class flow
To cultivate practical ability, students are given many exercise problems, which are related to a previous class and a class on the day.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Permutations | Understand the Permutations |
| Class 2 | Conditional probability | Calculate conditional probability. |
| Class 3 | Mean and variance | Calculate mean and variance |
| Class 4 | Characteristic function | Understand characteristic function |
| Class 5 | Random variable and distribution I | Understand random variable and distribution |
| Class 6 | Random variable and distribution II | Understand random variable and distribution |
| Class 7 | Test level of understanding with exercise problems | Test level of understanding for classes 1–6 |
| Class 8 | Statistical estimation | Calculate several types of means |
| Class 9 | Unbiased estimation | Understand unbiased estimation |
| Class 10 | Maximum likelihood estimation | Learn how to perform maximum likelihood estimation |
| Class 11 | Hypothesis testing | Learn applications of hypothesis testing |
| Class 12 | Stochastic process I | Perform regression analysis calculation |
| Class 13 | Stochastic process II | Calculate correlation coefficient |
| Class 14 | Test level of understanding with exercise problems | Test level of understanding for classes 8–13 |
Study advice (preparation and review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
N/A
Reference books, course materials, etc.
Watanabe, Sumio, Noboru, Murata, Probability and statistics: a bridge to information science, Corona-sha; ISBN: 9784339060775 (in Japanese)
Ogura, Hisanao, stochastic process for physics and engineering, Corona-sha; ISBN: 9784339004229, 9784339004236 (in Japanese)
Shibata, Fumiaki, Probability and statistics, Iwanami-shoten; ISBN: 9784000079778 (in Japanese)
Baba, Noriyuki, Kuchii, Shigeru, Campus seminar: statistics, mathema-shuppan, ISBN: 9784907165314 (in Japanese)
Evaluation methods and criteria
Students' knowledge of probability and statistical, and their ability to apply them to problems will be assessed.
Midterm exam 40%, final exam 40%, exercise problems 20%.
Related courses
- LAS.M101 ： Calculus I / Recitation
- LAS.M105 ： Calculus II
- EEE.M211 ： Fourier Transform and Laplace Transform
- EEE.S341 ： Communication Theory (Electrical and Electronic Engineering)
Prerequisites
Students must have successfully completed both Calculus I and Calculus II.
Other
Contact by e-mail in advance.