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School of Environment and Society
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- Graduate major in Technology and Innovation Management
- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Undergraduate major in Mathematics
- Instructor(s)
- Ninomiya Syoiti
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Wed3-4(H103) Fri7-8(H103)
- Group
- -
- Course number
- MTH.C361
- Credits
- 2
- Academic year
- 2017
- Offered quarter
- 4Q
- Syllabus updated
- 2017/4/12
- Lecture notes updated
- 2018/1/25
- Language used
- Japanese
- Access Index
-
Lecture
Lecture 1 Introduction, basic results from measure theory
2017.11.29(Wed.) 3-4Session
Lecture
Lecture 2 Probability Space
2017.12.1(Fri.) 7-8Session
Lecture
Lecture 3 Random Variables
2017.12.6(Wed.) 3-4Session
Lecture
Lecture 4 Independence
2017.12.8(Fri.) 7-8Session
Lecture
Lecture 5 iid, tail sigma algebra
2017.12.13(Wed.) 3-4Session
Lecture
Lecture 6 Kolmogorov's 0-1 law
2017.12.15(Fri.) 7-8Session
Lecture
Lecture 7 Applications of 0-1 law
2017.12.20(Wed.) 3-4Session
Lecture
Lecture 8 Expectation, L^p (\Omega), L^2 structure
2017.12.22(Fri.) 7-8Session
Lecture
Lecture 9 Strong law of large numbers
2018.1.5(Fri.) 7-8Session
Lecture
Lecture 10 Conditional Expectation 1
2018.1.10(Wed.) 3-4Session
Lecture
Lecture 11 Conditional Expectation 2
2018.1.17(Wed.) 3-4Session
Lecture
Lecture 12 Characteristic Functions
2018.1.19(Fri.) 7-8Session
Lecture
Lecture 13 Weak convergence
2018.1.24(Wed.) 3-4Session
Lecture
Lecture 14 The Central Limit theorem 1
2018.1.26(Fri.) 7-8Session
Lecture
Lecture 15 The Central Limit theorem 2
2018.1.31(Wed.) 3-4Session
Lecture
Lecture 16 The Central Limit Theorem 3
2018.2.2(Fri.) 7-8Session
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