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Reliability
Build Hierarchical Reliability Models
Nest distributions to build up a hierarchy.
In[1]:=
X
{Subscript[\[ScriptCapitalD], x], Subscript[\[ScriptCapitalD], y], Subscript[\[ScriptCapitalD], orig], Subscript[\[ScriptCapitalD], repl]} = {ExponentialDistribution[1/3], ExponentialDistribution[1/4], ExponentialDistribution[1/6], ExponentialDistribution[1/2]};
In[2]:=
X
Subscript[\[ScriptCapitalD], r] = ReliabilityDistribution[ x \[Or] y, {{x, Subscript[\[ScriptCapitalD], x]}, {y, Subscript[\[ScriptCapitalD], y]}}]; Subscript[\[ScriptCapitalD], s] = StandbyDistribution[Subscript[\[ScriptCapitalD], orig], {Subscript[\[ScriptCapitalD], repl]}]; Subscript[\[ScriptCapitalD], sys] = ReliabilityDistribution[ r \[And] s, {{r, Subscript[\[ScriptCapitalD], r]}, {s, Subscript[\[ScriptCapitalD], s]}}];
