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Implementing marked and multivariate Hawkes processes

Because of the increased complexity, I don't think there is a way to keep everything in a single type, like with Poisson processes, but still trying to follow as best as I can. I am keeping consistent with the implementation of History, where unmarked univariate histories have marks nothing and multivariate histories have integer marks.

For now, I am considering multivariate mutually exciting processes and univariate processes where marks affect the jump size. All with exponential kernel.

Ideas for improvement or generalization welcome.

- `HawkesProcess`
- `UnivariateHawkesProcess`
- `MultivariateHawkesProcess`
Everything else still not implemented.
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codecov bot commented Nov 19, 2025

Codecov Report

❌ Patch coverage is 82.21574% with 61 lines in your changes missing coverage. Please review.

Files with missing lines Patch % Lines
src/hawkes/intensity.jl 85.21% 21 Missing ⚠️
src/hawkes/simulation.jl 58.69% 19 Missing ⚠️
src/hawkes/hawkes_process.jl 80.43% 9 Missing ⚠️
src/abstract_point_process.jl 50.00% 8 Missing ⚠️
src/history.jl 80.00% 4 Missing ⚠️

📢 Thoughts on this report? Let us know!

…ensityof`

Implemented the intensity functions and corresponding tests.
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2 participants