Partitions of point processes: Multivariate Poisson approximations

DOI10.1016/0304-4149(85)90215-7zbMath0631.60049OpenAlexW2075989464MaRDI QIDQ1094752

Richard F. Serfozo

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0304-4149(85)90215-7

zbMATH Keywords

rare eventstotal variation distancemultivariate Poissonbatch assignments of pointscompound Poisson point process

Mathematics Subject Classification ID

Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (2)

Poisson approximations of multinomial distributions and point processes ⋮ On the optimality of multivariate Poisson approximation

Cites Work

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• Some Poisson approximations using compensators
• The Poisson approximation for dependent events
• A general Poisson approximation theorem
• An approximation theorem for the Poisson binomial distribution
• The Poisson Approximation to the Poisson Binomial Distribution
• Weak and Strong Convergence of the Distributions of Counting Processes
• Rarefactions of compound point processes
• A Note on One-Dimensional Distances between Two Counting Processes
• A general poisson approximation theorem
• Compositions, inverses and thinnings of random measures

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