Course title
V14603002
Probability and Statistics

 NAKATSU Tomonori Click to show questionnaire result at 2019
Course description
Lectures on basics of Probability and Statistics
Purpose of class
Learn basics of Probability and Statistics
Goals and objectives
  1. Lean basics of probability such as random variable, expectation, variance so on.
  2. Lean how to compute the expectation and variance.
  3. Lean basics of statistics.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Introduction, discrete probability space and examples Review of lectures 180minutes
2. Conditional probability and Bayes' theorem Review of lectures 180minutes
3. Discrete random variable and probability law Review of lectures 180minutes
4. Important distributions: Binomial distribution, Geometric distribution, Poisson distribution
Expectation and variance of discrete random variables 		Review of lectures 180minutes
5. Properties of expectation and variance
Expectation and variance of important distributions 		Review of lectures 180minutes
6. Expectation and variance of important distributions
General probability space, random variable, distribution and probability density function 		Review of lectures 180minutes
7. Important distributions: Normal distribution, Uniform distribution, Exponential distribution
Expectation and variance of important distributions 		Review of lectures 270minutes
8. Law of large numbers, Central limit theorem
On Mid-term report 		Review of lectures 180minutes
9. Basics of statistics Review of lectures 180minutes
10. Sampling distribution, Interval estimation Review of lectures 180minutes
11. t-distribution
Interval estimation 		Review of lectures 180minutes
12. Chi-square distribution
Convolution 		Review of lectures 180minutes
13. Chi-square distribution, F-distribution Review of lectures 180minutes
14. Unbiased estimator
On Final report 		Review of lectures 270minutes
Total. - - 2700minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Mid-term exam Final exam Total.
1. 20% 10% 30%
2. 30% 10% 40%
3. 30% 30%
Total. 50% 50% -
Evaluation method and criteria
Mid-term report and Final report
Textbooks and reference materials
The following would be helpful:
「確率・統計入門」小針晛宏著、岩波書店
Prerequisites
Nothing special
Office hours and How to contact professors for questions
  • e-mail
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
Active-learning course
Most classes are interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
Applicable Nakatsu worked at a financial institute for 4 years.
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
  • 8.DECENT WORK AND ECONOMIC GROWTH
  • 16.PEACE, JUSTICE AND STRONG INSTITUTIONS
Last modified : Fri Mar 18 22:44:14 JST 2022