Exchangeable random measures in the plane

DOI10.1007/BF01063330zbMath0694.60030MaRDI QIDQ909335

Olav Kallenberg

Publication date: 1990

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

representationPoisson processesrandom measureexchangeableinvariance propertyjointly exchangeable random measures

Mathematics Subject Classification ID

Random measures (60G57) Exchangeability for stochastic processes (60G09)

Related Items

A representation of exchangeable hierarchies by sampling from random real trees, On convergence for graphexes, Random arrays and functionals with multivariate rotational symmetries, Asymptotic behavior of common connections in sparse random networks, Edge Exchangeable Models for Interaction Networks, Randomly trapped random walks, Local exchangeability, On sparsity, power-law, and clustering properties of graphex processes, Sparse Graphs Using Exchangeable Random Measures, Symmetries on random arrays and set-indexed processes, Sampling perspectives on sparse exchangeable graphs, Sampling and estimation for (sparse) exchangeable graphs, Limits of sparse configuration models and beyond: graphexes and multigraphexes

Cites Work

• Some new representations in bivariate exchangeability
• Spreading and predictable sampling in exchangeable sequences and processes
• On the representation theorem for exchangeable arrays
• Representations for partially exchangeable arrays of random variables
• Sufficient statistics and extreme points
• Multiple integration with respect to Poisson and Lévy processes
• Integral Representations of Invariant Measures
• On Symmetrically Distributed Random Measures
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