3.2.12 \(f_{ij}\)

This is the probability of reaching state \(j\) (for first time) when starting from transient state \(i\). Hence \(f_{ij}={\displaystyle \sum \limits _{n=1}^{\infty }} f_{ij}^{\left ( n\right ) }=P\left ( T_{ij}<\infty \right ) \)