幻燈片1-中山大学软件学院.pptVIP

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幻燈片1-中山大学软件学院.ppt

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幻燈片1-中山大学软件学院

Chapter 1. Overview and Descriptive Statistics Weiqi Luo (骆伟祺) School of Software Sun Yat-Sen University Email：weiqi.luo@ Office：# A313 Textbook: Jay L. Devore, Probability and statistics for engineering and the sciences (the 6th Edition), China Machine Press, 2011 References: 1. Miller and Freund, “Probability and Statistics for Engineers” (the 7th Edition), Publishing House of Electronics Industry, 2005. 2. 盛骤、谢式千、潘承毅，《概率论与数理统计》第4版，高等教育出版社，2008 Kai Lai Chung, “A Course in Probability Theory”, (the 3rd Edition), China Machine Press, 2010. 2 MATLAB A powerful software with various toolboxes, including Statistics Toolbox Image Processing Toolbox Signal processing Toolbox Robust Control Toolbox Curve Fitting Toolbox Fuzzy Logic Toolbox … 3 Prerequisite Courses SE-101 Advanced Mathematics SE-103 Linear Algebra Successive Courses SE-328 Digital Signal Processing SE-343 Digital Image Processing SE-352 Information Security Pattern Recognition Machine learning etc. 4 Uncertainty It can be assessed informally using the language such as “it is unlikely” or “probably”. 5 What is Uncertainty? This science came of gambling in 7th century Probability measures uncertainty formally, quantitatively. It is the mathematical language of uncertainty. Statistics show some useful information from the uncertain data, and provide the basis for making decisions or choosing actions. 6 Why Study Probability Statistics? Weather Forecast Applications 7 In medical treatment Applications 8 e.g. Relationship between smoking and lung cancer Birthday Paradox (from Wikipedia) Applications 9 Benford’s Law/ First Digit Law (from Wikipedia) Applications 10 Time Series Analysis Applications 11 Economic Forecasting Sales Forecasting Budgetary Analysis Stock Market Analysis Process and Quality Control Inventory Studies etc. More interesting applications in real