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Laws of large numbers in self-correcting point processes

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Publication:1086914
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DOI10.1016/0304-4149(86)90045-1zbMath0609.60061OpenAlexW2047149031MaRDI QIDQ1086914

Toshiharu Hayashi

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0304-4149(86)90045-1


zbMATH Keywords

law of large numbers for weighted averagesself-correcting point processes


Mathematics Subject Classification ID

Strong limit theorems (60F15) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)


Related Items (3)

Some problems in nonparametric inference for the stress release process related to the local time ⋮ Parameter estimation for the simple self-correcting point process ⋮ Hypotheses testing: Poisson versus stress-release



Cites Work

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  • Point processes and queues. Martingale dynamics
  • A self-correcting point process
  • On the moments of a self-correcting process
  • The existence of moments for stationary Markov chains
  • On the comparison of point processes
  • Regular point processes and their detection


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