Summary: Poisson simulations

Here’s a lazy summary post where I list all the posts on various Poisson simulations. I’ve also linked to code, which is found on this online repository. The code is typically written in MATLAB and Python.

Posts

Poisson point processes

• Simulating a homogeneous Poisson point process on a rectangle (See code.)
• Simulating a Poisson point process on a disk (See code.)
• Simulating a Poisson point process on a triangle (See code.)
• Simulating an inhomogeneous Poisson point process (See code.)
• Simulating a Poisson point process on a circle (See code.)
• Simulating a Poisson point process on a sphere (See code.)
• Simulating a Poisson point process on a n-dimensional sphere (See code.)

Some simulations of Poisson point processes are also covered in this post on the Julia programming language:

• Testing the Julia language with point process simulations (See code.)

Checking simulations

• Checking Poisson point process simulations (See code.)

Poisson line process

• Simulating a Poisson line process (See code)

Poisson random variables

• Simulating Poisson random variables – Direct method (See code.)
• Simulating Poisson random variables – Survey of methods
• Simulating Poisson random variables in Fortran (See code.)

Author: Paul Keeler

I am a researcher with interests in mathematical models involving randomness, particularly models with some element of geometry. Much of my work studies wireless networks with a focus on using tools from probability theory such as point processes. I come from Australia, where I call Melbourne home, but I have lived several years in Europe. I grew up in country Queensland and New South Wales. View all posts by Paul Keeler