Outcrossing rates of marked Poisson cluster processes in structural reliability
type: Item
instance of: scholarly article
title: Outcrossing rates of marked Poisson cluster processes in structural reliability
zbMATH Open document ID: 0664.60087
DOI: 10.1016/0307-904X(88)90085-6
author: Karl Schrupp
author: Ruediger Rackwitz
published in: Applied Mathematical Modelling
publication date: 1988-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 60K10
Mathematics Subject Classification ID: 90B25
Mathematics Subject Classification ID: 60G55
zbMATH DE Number: 4086703
zbMATH Keywords: marked Poisson cluster process
zbMATH Keywords: structural failure probabilities
zbMATH Keywords: Poisson limit theorem
zbMATH Keywords: outcrossing rate
zbMATH Keywords: Numerical results
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4086703