PROBABILITY AND STATISTICS FOR ENGINEERING Hossein Sameti Department of Computer Engineering Sharif University of Technology Fall 1392 Course Information Prerequisite: General Math 2 Lectures: - Time: Sunday/Tuesday 7:30 – 9:00 - Location: CE 103 TA Classes: - Sunday 12:15 – 13:15 - Location: CE 006 Lecturer: Hossein Sameti - Email: Sameti@sharif.edu - Tel: 6616 6637 - Office: 706 - Office Hours: By appointment Hossein Sameti, CE, Sharif University of Technology, Fall 1992 2 Text Book A. Papoulis and S. Pillai, Probability, Random Variables and Stochastic Processes, 4th Edition, McGraw Hill, 2002 6/28/2016 Hossein Sameti, CE, Sharif University of Technology, Fall 1992 3 Recommended Reading A. Papoulis Probability and Statistics Prentice Hall, 1990 Sheldon M. Ross Introduction to Probability Models 6th Edition, Academic Press, 1997 6/28/2016 Hossein Sameti, CE, Sharif University of Technology, Fall 1992 4 Course Website Address: Sharif Courseware, cw.sharif.edu Access to some information (e.g., lecture notes) : Lecture notes and other resources will be available online (gradually!). Please check the course website regularly for announcements, lecture notes, solutions, etc. The password for the files (if set): 181fall92 Hossein Sameti, CE, Sharif University of Technology, Fall 1992 5 TEXTBOOK TABLE OF CONTENTS PROBABILITY THEORY Lecture – 1 Lecture – 2 Lecture – 3 Lecture – 4 Lecture – 5 Lecture – 6 Lecture – 7 Lecture – 8 Lecture – 9 Lecture – 10 Lecture – 11 Lecture – 12 Lecture – 13 Basics Independence and Bernoulli Trials Random Variables Binomial Random Variable Applications, Conditional Probability Density Function and Stirling’s Formula. Function of a Random Variable Mean, Variance, Moments and Characteristic Functions Two Random Variables One Function of Two Random Variables Two Functions of Two Random Variables Joint Moments and Joint Characteristic Functions Conditional Density Functions and Conditional Expected Values Principles of Parameter Estimation The Weak Law and the Strong Law of Large numbers STOCHASTIC PROCESSES Lecture – 14 Lecture – 15 Lecture – 16 Lecture – 17 Lecture – 18 Lecture – 19 Lecture – 20 Stochastic Processes - Introduction Poisson Processes Mean square Estimation Long Term Trends and Hurst Phenomena Power Spectrum Series Representation of Stochastic processes Extinction Probability for Queues and Martingales Source AT: www.mhhe.com/papoulis 6 Teaching Assistants: 6/28/2016 Mehrnoosh Ebrahimipoor (Coordinator) mehrnoosh.ebrahimipour@gmail.com Fatemeh Farahnak f.farahnak.g@gmail.com Mohammad Bakhshalipoor m.bakhshalipour@gmail.com Ali Arab aliarab2009@gmail.com Roozbeh Hasheminezhad roozbehhashemi.roozbeh@gmail.com Reza Alijani rezaalijani71@gmail.com Sina Jafarzadeh jafarzadeh91@gmail.com Hossein Sameti, CE, Sharif University of Technology, Fall 1992 7 Evaluation Evaluation: - Weekly Assignments: 0%, not submitted - Weekly Quizzes: 20% - Midterm Exam: 30% - Final Exam: 50% Hossein Sameti, CE, Sharif University of Technology, Fall 1992 8 Assignments, TA classes, and Quizzes Assignments will be posted on the course webpage with their due date At the due date, you are not expected to hand in your solutions, this is the date they will be discussed in the TA class TA classes are held on Sundays 12:15 – 13:15 in CE 006 One week after the TA class for each assignment is held, the quiz on the same chapter is taken Hossein Sameti, CE, Sharif University of Technology, Fall 1992 9 Midterm and Final Exams Midterm exam accounts for 30% and the final exam accounts for 50% of the overall mark. Date of the midterm: Tuesday 28 Aban at 5 pm The emphasis of the final exam will be on the topics covered after the midterm. You can bring one piece of paper (double-sided) to the midterm exam and two pieces of paper (double-sided) to the final exam. You can write anything on it (formulae, figures, drawings, solutions to the problems, text, poems, etc!). Hossein Sameti, CE, Sharif University of Technology, Fall 1992 10 Questions or comments? Hossein Sameti, CE, Sharif University of Technology, Fall 1992 11