55 citations · 565 across the 70 of their papers we have counts for
15 papers · 1 filter
Joint signature of two or more systems with applications to multistate systems made up of two-state components
Jean-Luc Marichal, Pierre Mathonet, Jorge Navarro +1
The structure signature of a system made up of components having continuous and i.i.d. lifetimes was defined in the eighties by Samaniego as the -tuple whose -th coordina…
Computing subsignatures of systems with exchangeable component lifetimes
Jean-Luc Marichal
The subsignatures of a system with continuous and exchangeable component lifetimes form a class of indexes ranging from the Samaniego signature to the Barlow-Proschan importance in…
Algorithms and formulas for conversion between system signatures and reliability functions
Jean-Luc Marichal
The concept of signature is a useful tool in the analysis of semicoherent systems with continuous and i.i.d. component lifetimes, especially for the comparison of different system…
Subsignatures of systems
Jean-Luc Marichal
We introduce the concept of subsignature for semicoherent systems as a class of indexes that range from the system signature to the Barlow-Proschan importance index. Specifically,…
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…
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…