Ordered thinnings of point processes and random measures

DOI10.1016/0304-4149(83)90051-0zbMath0511.60045OpenAlexW2060910528MaRDI QIDQ1838765

Fred Boeker, Richard F. Serfozo

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0304-4149(83)90051-0

zbMATH Keywords

thinningcompound Poisson processinfinitely divisible process

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Random measures (60G57) Functional limit theorems; invariance principles (60F17) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (7)

Convergence of thinning processes using compensators ⋮ Semicontinuous processes in multi-dimensional extreme value theory ⋮ Random record processes and state dependent thinning ⋮ A stochastic recirculation system with random access ⋮ Discriminating between sequences of bernoulli and markov-bernoulli trials ⋮ On compound Poisson approximation for sums of random variables ⋮ A thinning result for pure jump processes

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