course | course_year | question_number | tags | title | year | |||
---|---|---|---|---|---|---|---|---|
Markov Chains |
IB |
45 |
|
Paper 2, Section II, H |
2016 |
(a) Prove that every open communicating class of a Markov chain is transient. Prove that every finite transient communicating class is open. Give an example of a Markov chain with an infinite transient closed communicating class.
(b) Consider a Markov chain
(i) Compute
(ii) Compute
(iii) Show that
[Results from lectures can be used without proof if stated carefully.]