173 citations · 557 across the 30 of their papers we have counts for
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math.PR2010★ 51 cited
On signature-based expressions of system reliability
Jean-Luc Marichal, Pierre Mathonet, Tamás Waldhauser
The concept of signature was introduced by Samaniego for systems whose components have i.i.d. lifetimes. This concept proved to be useful in the analysis of theoretical behaviors o…
math.PR2010★ 39 cited
Extensions of system signatures to dependent lifetimes: Explicit expressions and interpretations
Jean-Luc Marichal, Pierre Mathonet
The concept of system signature was introduced by Samaniego for systems whose components have i.i.d. lifetimes. We consider its extension to the continuous dependent case and give…