Outcrossing rates of marked Poisson cluster processes in structural reliability
A marked Poisson cluster process (PCP) is defined as a model for live loads in buildings. The outcrossing rate for this PCP and the superposition of such processes are derived for the determination of structural failure probabilities. For the equilibrium process a Poisson limit theorem for the failure probability and an asymptotic approximation for the outcrossing rate are given. Numerical results for normally distributed marks are presented, and comparisons with two other similar load models are made.
scientific article; zbMATH DE number 4086703