Table 4 Transition probabilities for... | Emerald Publishing

Table 4

Transition probabilities for each category of retaining walls

$P_{a} = [\begin{matrix} 0.7229 & 0.2771 & 0 & 0 & 0 \\ 0 & 0.9557 & 0.0407 & 0.0036 & 0 \\ 0 & 0 & 0.9373 & 0.0627 & 0 \\ 0 & 0 & 0 & 0.9247 & 0.0753 \\ 0 & 0 & 0 & 0 & 1 \end{matrix}]$	$P_{b} = [\begin{matrix} 0.7827 & 0.1878 & 0.0295 & 0 \\ 0 & 0.9852 & 0.0148 & 0 \\ 0 & 0 & 0.8469 & 0.1531 \\ 0 & 0 & 0 & 1 \end{matrix}]$	$P_{c} = [\begin{matrix} 0.8277 & 0.1723 & 0 & 0 \\ 0 & 0.8979 & 0.1021 & 0 \\ 0 & 0.0 & 0.7880 & 0.2120 \\ 0 & 0 & 0 & 1 \end{matrix}]$
(a) Masonry gravity walls	(b) Concrete gravity walls	(c) Stone gravity walls
$P_{d} = [\begin{matrix} 0.3109 & 0.4274 & 0.2617 & 0 \\ 0 & 0.8672 & 0.1322 & 0 \\ 0 & 0.0 & 0.8006 & 0.1994 \\ 0 & 0 & 0 & 1 \end{matrix}]$	$P_{e} = [\begin{matrix} 0.2986 & 0.4486 & 0.2528 & 0 \\ 0 & 0.9568 & 0.0432 & 0 \\ 0 & 0.0 & 0.5414 & 0.4586 \\ 0 & 0 & 0 & 1 \end{matrix}]$	$P_{f} = [\begin{matrix} 0.8464 & 0.1204 & 0.0332 & 0 \\ 0 & 0.9908 & 0.0092 & 0 \\ 0 & 0.0 & 0.6440 & 0.3560 \\ 0 & 0 & 0 & 1 \end{matrix}]$
(d) Masonry anchored walls	(e) Concrete anchored walls	(f) Cantilever walls