Hawkes processes are a particularly interesting class of stochastic process that have been applied in diverse areas, from earthquake modelling to financial analysis. They are point processes whose defining characteristic is that they 'self-excite', meaning that each arrival increases the rate of future arrivals for some period of time. Hawkes processes are well established, particularly within the financial literature, yet many of the treatments are inaccessible to one not acquainted with the topic. This survey provides background, introduces the field and historical developments, and touches upon all major aspects of Hawkes processes.
%0 Journal Article
%1 laub_hawkes_2015
%A Laub, Patrick J.
%A Taimre, Thomas
%A Pollett, Philip K.
%D 2015
%J arXiv:1507.02822 math, q-fin, stat
%K - Applications, Finance Mathematics Probability, Quantitative Statistical Statistics point processes
%T Hawkes Processes
%U http://arxiv.org/abs/1507.02822
%X Hawkes processes are a particularly interesting class of stochastic process that have been applied in diverse areas, from earthquake modelling to financial analysis. They are point processes whose defining characteristic is that they 'self-excite', meaning that each arrival increases the rate of future arrivals for some period of time. Hawkes processes are well established, particularly within the financial literature, yet many of the treatments are inaccessible to one not acquainted with the topic. This survey provides background, introduces the field and historical developments, and touches upon all major aspects of Hawkes processes.
@article{laub_hawkes_2015,
abstract = {Hawkes processes are a particularly interesting class of stochastic process that have been applied in diverse areas, from earthquake modelling to financial analysis. They are point processes whose defining characteristic is that they 'self-excite', meaning that each arrival increases the rate of future arrivals for some period of time. Hawkes processes are well established, particularly within the financial literature, yet many of the treatments are inaccessible to one not acquainted with the topic. This survey provides background, introduces the field and historical developments, and touches upon all major aspects of Hawkes processes.},
added-at = {2020-01-31T19:19:18.000+0100},
author = {Laub, Patrick J. and Taimre, Thomas and Pollett, Philip K.},
biburl = {https://www.bibsonomy.org/bibtex/2096db3e9996bfc6260765e73fada8822/mannbachm},
file = {arXiv Fulltext PDF:C\:\\Users\\Jan\\Zotero\\storage\\PSAFSJNF\\Laub et al. - 2015 - Hawkes Processes.pdf:application/pdf;arXiv.org Snapshot:C\:\\Users\\Jan\\Zotero\\storage\\FV3M5MVR\\1507.html:text/html},
interhash = {0fd85259f292fee18120777153e8949a},
intrahash = {096db3e9996bfc6260765e73fada8822},
journal = {arXiv:1507.02822 [math, q-fin, stat]},
keywords = {- Applications, Finance Mathematics Probability, Quantitative Statistical Statistics point processes},
month = jul,
note = {arXiv: 1507.02822},
timestamp = {2020-01-31T19:20:14.000+0100},
title = {Hawkes {Processes}},
url = {http://arxiv.org/abs/1507.02822},
urldate = {2019-12-17},
year = 2015
}