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Position dependent and stochastic thinning of point processes

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Publication:755260
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DOI10.1016/0304-4149(79)90030-9zbMath0417.60061OpenAlexW1990192791MaRDI QIDQ755260

Timothy C. Brown

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0304-4149(79)90030-9


zbMATH Keywords

thinningconvergence in distributionpoint processesPoisson processrandom measureCox process


Mathematics Subject Classification ID

Random measures (60G57) Convergence of probability measures (60B10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)


Related Items (3)

Poisson process approximation for dependent superposition of point processes ⋮ Likelihood-based inference for Matérn type-III repulsive point processes ⋮ Compensators and Cox convergence



Cites Work

  • Poisson approximation for dependent trials
  • Simple proof of a result on thinned point processes
  • An approximation theorem for the Poisson binomial distribution
  • Interrupted Point Processes
  • A model for clustering
  • Limits of compound and thinned point processes
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