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3.3.4
How to find average number of steps
\(E\left ( T_{ij}\right ) \)
between state
\(i\)
and state
\(j\)
?
\(regular:i\in R,j\in R\)
\(E\left ( T_{ij}\right ) =1+{\displaystyle \sum \limits _{k\neq j}} p_{ik}E\left ( T_{kj}\right ) \)
if
\(i=j\)
then
\(E\left ( T_{ij}\right ) =\frac {1}{w_{jj}}\)
where
\(w\)
is the stationary probability vector
\(i\in T,j\in T\)
does not make sense to ask this here?
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