Conditional Densities and Simulations of Inhomogeneous Poisson Point Processes: The R package "IPPP"

TL;DR

This paper introduces R package 'IPPP' which provides methods for simulating inhomogeneous Poisson point processes, including conditional densities and random number generation based on known event information.

Contribution

It offers new computational tools for simulating and analyzing inhomogeneous Poisson point processes with arbitrary intensities in R.

Findings

Implemented simulation methods for Poisson processes

Provided tools for conditional probability density calculations

Enabled simulation with known event information

Abstract

A number of numeric approaches to simulate Poisson point processes with arbitrary event rates are presented and implemented for R. They include the simulation of the number of points and their location as well as the determination of conditional probability densities and random numbers in cases where additional information (e.g. location of points or number of points occurring) is available upfront.