“…Self-exciting processes date back at least to the 1960s [Bartlett (1963), Kerstan (1964)]. The applicability of self-exciting point processes for modeling and analyzing time-series data has stimulated interest in diverse disciplines, including seismology [Ogata (1988[Ogata ( , 1998], criminology [Porter and White (2012), Mohler et al (2011), Egesdal et al (2010, Lewis et al (2010), Louie, Masaki and Allenby (2010)], finance [Chehrazi and Weber (2011), Aït-Sahalia, Cacho-Diaz and Laeven (2010), Bacry et al (2013), Filimonov and Sornette (2012), Embrechts, Liniger and Lin (2011), Hardiman, Bercot and Bouchaud (2013)], computational neuroscience [Johnson (1996), Krumin, Reutsky and Shoham (2010)], genome sequencing [Reynaud-Bouret and Schbath (2010)] and social networks [Crane and Sornette (2008), Mitchell and Cates (2010), Simma and Jordan (2010), Masuda et al (2012), Du et al (2013)]. These models appear in so many different domains because they are a natural fit for time-series data where one would like to predict discrete events in time, and where the occurrence of a past event gives a temporary boost to the probability of an event in the future.…”