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Convergence of the Discrete-Time Compound Hawkes Processwith Exponential or Erlang Kernel

Authors
  • huang, lorick
  • Khabou, Mahmoud
Publication Date
Jun 24, 2021
Source
HAL
Keywords
Language
English
License
Unknown
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Abstract

Due to its clustering and self-exciting properties, the Hawkes process has been used extensively in numerous fields ranging from sismology to finance. Since data is often aquired on regular time intervals, we propose a piece-wise constant model based on a Discrete-Time Hawkes Process (DTHP). We prove that this discrete-time model converges to the usual continuous-time Hawkes process as the time-step tends to zero.

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