scholarly journals Estimation, diagnostics, and extensions of nonparametric Hawkes processes with kernel functions

2019 ◽  
Vol 3 (1) ◽  
pp. 391-412
Author(s):  
Jiancang Zhuang
Keyword(s):  
Social Sciences ◽  
Point Process ◽  
Kernel Functions ◽  
Process Models ◽  
Positive Interactions ◽  
Hawkes Processes ◽  
Research Areas ◽  
Point Process Models ◽  
Clustering Effect

AbstractThe Hawkes self-exciting model has become one of the most popular point-process models in many research areas in the natural and social sciences because of its capacity for investigating the clustering effect and positive interactions among individual events/particles. This article discusses a general nonparametric framework for the estimation, extensions, and post-estimation diagnostics of Hawkes models, in which we use the kernel functions as the basic smoothing tool.

scholarly journals Assessing the contagiousness of mass shootings with nonparametric Hawkes processes

PLoS ONE ◽  
2021 ◽  
Vol 16 (3) ◽  
pp. e0248437
Author(s):  
Peter Boyd ◽  
James Molyneux
Keyword(s):  
United States ◽  
Point Process ◽  
News Media ◽  
The United States ◽  
Gun Violence ◽  
Process Models ◽  
Mass Shootings ◽  
Hawkes Processes ◽  
High Profile ◽  
Point Process Models

Gun violence and mass shootings are high-profile epidemiological issues facing the United States with questions regarding their contagiousness gaining prevalence in news media. Through the use of nonparametric Hawkes processes, we examine the evidence for the existence of contagiousness within a catalog of mass shootings and highlight the broader benefits of using such nonparametric point process models in modeling the occurrence of such events.

Habitat use of toothed whales in a marine protected area based on point process models

2019 ◽  
Vol 609 ◽  
pp. 239-256 ◽  
Author(s):  
TL Silva ◽  
G Fay ◽  
TA Mooney ◽  
J Robbins ◽  
MT Weinrich ◽  
...  
Keyword(s):  
Habitat Use ◽  
Point Process ◽  
Protected Area ◽  
Marine Protected Area ◽  
Process Models ◽  
Point Process Models

scholarly journals An efficient optimizer for simple point process models

2013 ◽  
Author(s):  
Ahmed Gamal-Eldin ◽  
Guillaume Charpiat ◽  
Xavier Descombes ◽  
Josiane Zerubia
Keyword(s):  
Point Process ◽  
Process Models ◽  
Simple Point ◽  
Point Process Models
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