Improved criteria for distributional convergence of point processes

DOI10.1016/S0304-4149(96)00077-4zbMath0879.60050MaRDI QIDQ1374624

Olav Kallenberg

Publication date: 10 December 1997

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

weak convergencepoint processinfinite divisibilityrandom measuretightness of measures

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Random measures (60G57) Convergence of probability measures (60B10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (3)

Convergence in distribution of point processes on Polish spaces to a simple limit ⋮ On the longest gap between power-rate arrivals ⋮ Convergence to Lévy stable processes under some weak dependence conditions

Cites Work

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• Convergence and existence of random set distributions
• Extremes and related properties of random sequences and processes
• Spreading and predictable sampling in exchangeable sequences and processes
• Doubly stochastic Poisson processes
• Characterization and convergence of random measures and point processes

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