173 citations · 557 across the 30 of their papers we have counts for
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math.PR2012★ 55 cited
Computing system signatures through reliability functions
Jean-Luc Marichal, Pierre Mathonet
It is known that the Barlow-Proschan index of a system with i.i.d. component lifetimes coincides with the Shapley value, a concept introduced earlier in cooperative game theory. Du…
math.PR2012★ 19 cited
On modular decompositions of system signatures
Jean-Luc Marichal, Pierre Mathonet, Fabio Spizzichino
Considering a semicoherent system made up of components having i.i.d. continuous lifetimes, Samaniego defined its structural signature as the -tuple whose -th coordinate…
math.OC2012
Influence and interaction indexes for pseudo-Boolean functions: a unified least squares approach
Jean-Luc Marichal, Pierre Mathonet
The Banzhaf power and interaction indexes for a pseudo-Boolean function (or a cooperative game) appear naturally as leading coefficients in the standard least squares approximation…