Lyapunov functions. Let Xn be an irreducible Markov chain with state space f0; 1; 2; : :
Question:
Lyapunov functions. Let Xn be an irreducible Markov chain with state space f0; 1; 2; : : :g and let 0 be a function with limx!1 .x/D1, and Ex.X1/ .x/ when x K. Then Xn is recurrent. This abstract result is often useful for proving recurrence in many chains that come up in applications and in many cases it is enough to consider .x/ D x.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Question Posted: