Academics
Dop Course Outline
OS7150 Probability and Statistics
Last Revised: 2018-03-27
Course Objectives
講授機率與統計之各種基本觀念，並介紹其在光學中之應用，以期建立學生對機率與統計相關問題之分析能力。課程內容包括機率定理、機率密度函數、蒙第卡羅計算、統計估算、假設檢驗、以及變異數分析。
Prerequisite
Textbook References:
(1) B. R. Frieden, Probability, Statistical Optics, and Data Testing: A Problem Solving Approach, 3rd edition, Springer-Verlag (2002).
(2) S. M. Ross, Introduction to Probability and Statistics for Engineers and Scientists, 3rd edition, Elsevier Academic Press (2004).
Topical Outline (1) Foundations of Probability Theory
(2) Random Variables and Probability Distributions
(3) Fourier Methods in Probability
(4) Transformation of Random Variables
(5) Bernoulli Trials and Monte-Carlo Calculations
(6) Statistical Estimation
(7) Hypothesis Testing
(8) Analysis of Variance, ANOVA
Prerequisite
Textbook References:
(1) B. R. Frieden, Probability, Statistical Optics, and Data Testing: A Problem Solving Approach, 3rd edition, Springer-Verlag (2002).
(2) S. M. Ross, Introduction to Probability and Statistics for Engineers and Scientists, 3rd edition, Elsevier Academic Press (2004).
Topical Outline (1) Foundations of Probability Theory
(2) Random Variables and Probability Distributions
(3) Fourier Methods in Probability
(4) Transformation of Random Variables
(5) Bernoulli Trials and Monte-Carlo Calculations
(6) Statistical Estimation
(7) Hypothesis Testing
(8) Analysis of Variance, ANOVA
