On the simulation of the Hawkes process via Lambert-W functions

• Tác giả: Martin Magris
• Ngôn ngữ: eng
• Ký hiệu phân loại: 511.8 Mathematical models (Mathematical simulation)
• Thông tin xuất bản: 2019
• Bộ sưu tập: Metadata
• ID: 163121

Tóm tắt

Comment: A short discussion paper. 7 pages, 1 figureSeveral methods have been developed for the simulation of the Hawkes process. The oldest approach is the inverse sampling transform (ITS) suggested in \citep{ozaki1979maximum}, but rapidly abandoned in favor of more efficient alternatives. This manuscript shows that the ITS approach can be conveniently discussed in terms of Lambert-W functions. An optimized and efficient implementation suggests that this approach is computationally more performing than more recent alternatives available for the simulation of the Hawkes process.