1 citations · 2 across the 5 of their papers we have counts for
5 papers
Reliability analysis of semicoherent systems through their lattice polynomial descriptions
Alexander Dukhovny, Jean-Luc Marichal
A semicoherent system can be described by its structure function or, equivalently, by a lattice polynomial function expressing the system lifetime in terms of the component lifetim…
System reliability and weighted lattice polynomials
Alexander Dukhovny, Jean-Luc Marichal
The lifetime of a system of connected units under some natural assumptions can be represented as a random variable Y defined as a weighted lattice polynomial of random lifetimes of…
Distribution functions of linear combinations of lattice polynomials from the uniform distribution
Jean-Luc Marichal, Ivan Kojadinovic
We give the distribution functions, the expected values, and the moments of linear combinations of lattice polynomials from the uniform distribution. Linear combinations of lattice…
Weighted lattice polynomials of independent random variables
Jean-Luc Marichal
We give the cumulative distribution functions, the expected values, and the moments of weighted lattice polynomials when regarded as real functions of independent random variables.…
Derivative relationships between volume and surface area of compact regions in R^d
Jean-Luc Marichal, Michael Dorff
We explore the idea that the derivative of the volume, V, of a region in R^d with respect to r equals its surface area, A, where r = d V/A. We show that the families of regions for…