Functionals of spatial point processes having a density with respect to the Poisson process

zbMath1316.60069arXiv1401.2783MaRDI QIDQ5179068

Markéta Zikmundová, Viktor Beneš

Publication date: 19 March 2015

Full work available at URL: https://arxiv.org/abs/1401.2783

zbMATH Keywords

momentscentral limit theoremPoisson process\(U\)-statisticsspatial point processes

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (3)

Central limit theorem for Gibbsian \(U\)-statistics of facet processes. ⋮ Interaction processes for unions of facets, the asymptotic behaviour with increasing intensity ⋮ Approaches to asymptotics for \(U\)-statistics of Gibbs facet processes

Cites Work

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• Multi-dimensional Gaussian fluctuations on the Poisson space
• Poisson process Fock space representation, chaos expansion and covariance inequalities
• Wiener chaos: Moments, cumulants and diagrams. A survey with computer implementation
• Central limit theorems for \(U\)-statistics of Poisson point processes
• Stochastic and Integral Geometry
• Power diagrams and interaction processes for unions of discs
• Moments and Central Limit Theorems for Some Multivariate Poisson Functionals
• Moment formulae for general point processes

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