CS723 : Probability and Stochastic Processes

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Course Info

Course Category

Computer Science/Information Technology

Course Level

Graduate

Credit Hours

3

Pre-requisites

MTH101, STA301

Instructor

Dr. Muhammad Akmal Butt
Ph.D
Georgia Institute of Technology, USA

Course Contents

Introduction, Set Theory, Number Theory, Relations, Functions, Axioms of Probability Theory, Conditional Probability, Bayes’ Rule, Random Variables, Density Functions, Conditional Density Function, Uniform, Exponential & Gaussian Density Function, Expected Values, Moments, Joint Density, Marginal Density Function, Transformation of Random Variables, Conditional Expectations, Vectors and Sequence of Random Variables, Convergence of Sequences of Random Variables.