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19932026
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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★ 89 cited

Noncentral convergence of multiple integrals

Ivan Nourdin, Giovanni Peccati

Fix , denote by a Gamma random variable with parameter and let be a fixed even integer. Consider a sequence of square integrable ran…

math.PR2007★ 4 cited

Group Representations and High-Resolution Central Limit Theorems for Subordinated Spherical Random Fields

Domenico Marinucci, Giovanni Peccati

We study the weak convergence (in the high-frequency limit) of the frequency components associated with Gaussian-subordinated, spherical and isotropic random fields. In particular,…

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.…