Classification of states in a Markov chain : Introductory video

Before watching the video read the questions below. As you watch the video try to answer them

Questions

    • Explain in your own words what we mean when we talk about the limiting behavior of a Markov chain.
    • How is the return time to a state defined.
    • What is the distinction between the transient and the recurrent states in a Markov chain.
    • Draw an example of a Markov chain with one transient state and one recurrent state.
    • Draw transition graphs for two Markov chains with one transient and two recurrent states that have different limiting behaviors
    • Draw an example of a Markov chain with 3 recurrent states and 4 transient states.