Discrete-time Markov Chains and Poisson Processes

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Free Online Course: Discrete-time Markov Chains and Poisson Processes provided by Swayam is a comprehensive online course, which lasts for 8 weeks long. The course is taught in English and is free of charge. Upon completion of the course, you can receive an e-certificate from Swayam. Discrete-time Markov Chains and Poisson Processes is taught by Prof. Ayon Ganguly, Prof. Subhamay Saha.

Overview
  • In this course we will cover discrete-time Markov chains and Poisson Processes. Knowledge of calculus and basic probability is essential for this course. The mathematical rigor of the course will be at an undergraduate level. We will cover from basic definition to limiting probabilities for discrete -time Markov chains. We will discuss in detail Poisson processes, the simplest example of a continuous-time Markov chain. The course will involve a lot of illustrative examples and worked out problems. PRE-REQUISITE : Basic Probability,Calculus INDUSTRY SUPPORT : Supply Chain, Communications. INTENDED AUDIENCE : Undergraduate students of Science and Engineering. Many postgraduate students as well as industry professionals dealing with stochastic modelling may find the course useful.

Syllabus
  • Week 1:Introduction to Discrete-time Markov ChainsWeek 2:Communication
    Week 3:Hitting Times
    Week 4:Classification of StatesWeek 5:Stationary DistributionWeek 6:Limit TheoremsWeek 7:Exponential Distribution and Counting ProcessesWeek 8:Poisson Processes