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- W4245051337 abstract "Our objective is to construct a perfect simulation algorithm for unmarked and marked Hawkes processes. The usual straightforward simulation algorithm suffers from edge effects, whereas our perfect simulation algorithm does not. By viewing Hawkes processes as Poisson cluster processes and using their branching and conditional independence structures, useful approximations of the distribution function for the length of a cluster are derived. This is used to construct upper and lower processes for the perfect simulation algorithm. A tail-lightness condition turns out to be of importance for the applicability of the perfect simulation algorithm. Examples of applications and empirical results are presented." @default.
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- W4245051337 date "2005-09-01" @default.
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- W4245051337 title "Perfect simulation of Hawkes processes" @default.
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- W4245051337 doi "https://doi.org/10.1017/s0001867800000392" @default.
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