173 citations · 557 across the 30 of their papers we have counts for
7 papers · 1 filter
A description of n-ary semigroups polynomial-derived from integral domains
Jean-Luc Marichal, Pierre Mathonet
We provide a complete classification of the n-ary semigroup structures defined by polynomial functions over infinite commutative integral domains with identity, thus generalizing G…
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…
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…
Symmetric approximations of pseudo-Boolean functions with applications to influence indexes
Jean-Luc Marichal, Pierre Mathonet
We introduce an index for measuring the influence of the k-th smallest variable on a pseudo-Boolean function. This index is defined from a weighted least squares approximation of t…
Measuring the influence of the k-th largest variable on functions over the unit hypercube
Jean-Luc Marichal, Pierre Mathonet
By considering a least squares approximation of a given square integrable function f:[0,1]^n --> R by a shifted L-statistic function (a shifted linear combination of order statisti…
Projectively equivariant quantizations over the superspace
Pierre Mathonet, Fabian Radoux
We investigate the concept of projectively equivariant quantization in the framework of super projective geometry. When the projective superalgebra pgl(p+1|q) is simple, our result…