Discrete-time Markov Chains and Poisson Processes

Discrete-time Markov Chains and Poisson Processes by Indian Institute of Technology Guwahati

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Created by Guwahati Staff Last updated Fri, 11-Mar-2022 English


Discrete-time Markov Chains and Poisson Processes free videos and free material uploaded by Guwahati Staff .

Syllabus / What will i learn?

Week 1:Introduction to Discrete-time Markov Chains

Week 2:Communication

Week 3:Hitting Times

Week 4:Classification of States

Week 5:Stationary Distribution

Week 6:Limit Theorems

Week 7:Exponential Distribution and Counting Processes

Week 8:Poisson Processes



Curriculum for this course
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Description

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.

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