RHawkes-package {RHawkes}R Documentation

Renewal Hawkes Process

Description

The renewal Hawkes (RHawkes) process (Wheatley, Filimonov, and Sornette, 2016 <doi:10.1016/j.csda.2015.08.007>) is an extension to the classical Hawkes self-exciting point process widely used in the modelling of clustered event sequence data. This package provides functions to simulate the RHawkes process with a given immigrant hazard rate function and offspring birth time density function, to compute the exact likelihood of a RHawkes process using the recursive algorithm proposed by Chen and Stindl (2018) <doi:10.1080/10618600.2017.1341324>, to compute the Rosenblatt residuals for goodness-of-fit assessment, and to predict future event times based on observed event times up to a given time. A function implementing the linear time RHawkes process likelihood approximation algorithm proposed in Stindl and Chen (2021) <doi:10.1007/s11222-021-10002-0> is also included.

Details

The DESCRIPTION file:

Package: RHawkes
Type: Package
Title: Renewal Hawkes Process
Version: 1.0
Date: 2022-5-4
Authors@R: c(person(given="Feng", family="Chen", role = c("aut", "cre"), email = "feng.chen@unsw.edu.au", comment = c(ORCID="0000-0002-9646-3338") ), person(given="Tom", family="Stindl", role = "ctb", email="t.stindl@unsw.edu.au", comment=c(ORCID="0000-0001-8627-9337") ) )
Description: The renewal Hawkes (RHawkes) process (Wheatley, Filimonov, and Sornette, 2016 <doi:10.1016/j.csda.2015.08.007>) is an extension to the classical Hawkes self-exciting point process widely used in the modelling of clustered event sequence data. This package provides functions to simulate the RHawkes process with a given immigrant hazard rate function and offspring birth time density function, to compute the exact likelihood of a RHawkes process using the recursive algorithm proposed by Chen and Stindl (2018) <doi:10.1080/10618600.2017.1341324>, to compute the Rosenblatt residuals for goodness-of-fit assessment, and to predict future event times based on observed event times up to a given time. A function implementing the linear time RHawkes process likelihood approximation algorithm proposed in Stindl and Chen (2021) <doi:10.1007/s11222-021-10002-0> is also included.
License: GPL (>=2)
Depends: R (>= 2.10), IHSEP
NeedsCompilation: no
Author: Feng Chen [aut, cre] (<https://orcid.org/0000-0002-9646-3338>), Tom Stindl [ctb] (<https://orcid.org/0000-0001-8627-9337>)
Maintainer: Feng Chen <feng.chen@unsw.edu.au>

Index of help topics:

EM1partial              Partial EM algorithm for the RHawkes process,
                        version 1
EM2partial              Partial EM algorithm for the RHawkes process,
                        version 2
RHawkes-package         Renewal Hawkes Process
damllRH                 Dynamically approxomated minus loglikelihood of
                        a RHawkes model
mllRH                   Minus loglikelihood of a RHawkes model
mllRH1                  Minus loglikelihood of a RHawkes model with
                        parent probabilities
mllRH2                  Minus loglikelihood of a RHawkes model with
                        Rosenblatt residuals
pred.den                RHawkes predictive density function
pred.haz                RHawkes predictive hazard function
quake                   An RHawkes earthquake data set
sim.pred                Simulate a fitted RHawkes process model
sim.pred1               Simulate a fitted RHawkes process model for
                        prediction purposes
simRHawkes              Simulate a renewal Hawkes (RHawkes) process
simRHawkes1             Simulate a renewal Hawkes (RHawkes) process
tms                     mid-price change times of the AUD/USD exchange
                        rate

Author(s)

NA

Maintainer: NA


[Package RHawkes version 1.0 Index]