Teaching CSIR NET Mock Test Series Mathematical Science Statistics & Exploratory Data Analysis Markov Chains
Transition probability matrix of a homogeneous Markov chain with states 0,1, 2, 3 is
\(P=\begin{array}{c}0\\ 0\\ 1\\ 2\\ 3\end{array}\left(\begin{array}{cccc}1/4&3/4&0&3\\ 1&0&0&0\\ 2/3&0&1/3&0\\ 0&0&2/5&3/5\end{array}\right)\)
Which of the following statements are true?
1
state 0 is positive recurrent
2
state 3 is transient
3
state 1 is aperiodic and positive recurrent
4
State 2 is aperiodic and null-recurrent