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Grinstead-Snell-Probability
· Problem 11.4.2
Markov Chains
Mathematics · fundamental-limit-theorem-limiting-vector
Problem
Let
P
\mathbf{P}
P
be a regular
r
×
r
r \times r
r
×
r
transition matrix and
y
\mathbf{y}
y
any
r
r
r
-component column vector. Show that the value of the limiting constant vector for
P
n
y
\mathbf{P}^n\mathbf{y}
P
n
y
is
w
y
\mathbf{w}\mathbf{y}
wy
.
Related theory
Central Limit Theorem
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