Grinstead-Snell-Probability · Problem 11.4.2

Markov Chains

Mathematics · fundamental-limit-theorem-limiting-vector

Problem

Let P\mathbf{P} be a regular r×rr \times r transition matrix and y\mathbf{y} any rr-component column vector. Show that the value of the limiting constant vector for Pny\mathbf{P}^n\mathbf{y} is wy\mathbf{w}\mathbf{y}.

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