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Markov property of point processes

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Publication:1085888
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DOI10.1007/BF00390276zbMath0608.60053OpenAlexW2072279802MaRDI QIDQ1085888

Hans G. Kellerer

Publication date: 1987

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00390276


zbMATH Keywords

Markov propertycompensatorcharacterization of the Poisson process


Mathematics Subject Classification ID

Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Markov processes (60J99)


Related Items (4)

Markov models and Thiele's integral equations for the prospective reserve ⋮ Marginal Distributions of the Counting Process Associated with Generalized Order Statistics ⋮ The Markov-quantile process attached to a family of marginals ⋮ Order conditioned independence of real random variables



Cites Work

  • Order conditioned independence of real random variables
  • Point processes and queues. Martingale dynamics
  • Multivariate point processes: predictable projection, Radon-Nikodym derivatives, representation of martingales
  • Characterization and convergence of random measures and point processes
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