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math.PR2007
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…
math.PR2007★ 1 cited
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…
math.PR2007
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.…