## Prob. & Statistical Analysis & Exercises

JA | EN

 科目ナンバリング U-ENG23 23505 LE55 開講年度・開講期 2020・前期 単位数 2 単位 授業形態 演習 対象学生 学部生 使用言語 英語 曜時限 火3・4 教員 KIM，SUNMIN（工学研究科 准教授） 授業の概要・目的 Theory and methodology of probabilistic and statistical analysis is introduced as a basic tool to cope with uncertainty in natural and social systems dealt with in global engineering. The main topics are concepts and basic theorems of probability, probability distributions and their uses, statistical estimation and testing, and multivariate analysis. 到達目標 The goal is to understand fundamental theory of probability and to be capable of using well-known distributions in analysis and design. It is also required that students acquire knowledge of fundamentals of statistical population and samples, and principle of statistical estimation and testing. 授業計画と内容 [Probabilistic Analysis]1. The Concepts of Probability 2. Conditional probability, Bayes's theorem 3. Random Variables and Probability Distributions4. Moment Generating Function, Multiple Random Variables5. Binomial Distribution and Geometric Distribution 6. Poisson Distribution and Exponential Distribution7. Normal Distribution and Log-Normal Distribution8. Conversion of Random Variables[Statistical Analysis]9. The Concept of Statistical Analysis, Sample and Population10. Parameter Estimation with Statistics11. Hypothesis Test with Large Sample12. Hypothesis Test with Small Sample13. Regression Analysis14. Statistical Analysis with R [Final Exam]15. Feedback 成績評価の方法・観点 Evaluation is based on written tests (midterm and quiz: 40%, final exam: 50%), and assignment (10%). 履修要件 Prerequisite courses are calculus and linear algebra. 授業外学習（予習・復習）等 Self-review is strongly recommended after each lecture. 教科書 Not specified. Some handout materials will be provided during the class. 参考書等 A.H.S. Ang and W.H. Tang: Probability Concepts in Engineering (Emphasis on Applications in Civil and Environmental Engineering), ISBN978-0-47-172064-5 William Navidi: Principles of Statistics (for Engineers and Scientists), ISBN978-0-07-016697-4