Sep 18, 2017

WHEN THE STATIONARY DISTRIBUTION Π OF A DISCRETE-TIME MARKOV CHAIN WITH STOCHASTIC TRANSITION…

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When the stationary distribution π of a discrete-time Markov chain with stochastic transition probability matrix P is required, we can find it from either π P = π or π Q = 0, where Q = P − I. Can the same be said for computing transient distributions? Compare the transient distribution at time step n = 10 obtained in the previous question (using the same initial distribution π(0) = (1, 0, 0, 0)) and the distribution obtained by forming π(0)e10Q.


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