Poisson point process

Imagine you're in a park and you're picking up sticks that are scattered all around. The sticks are randomly placed and you're picking them up one by one. This is kind of like a poisson point process.

In a poisson point process, objects are randomly placed in an area. These objects might be things like phone calls, cars passing by on a road, or stars in a galaxy. The important thing is that the objects are randomly placed.

Now, let's talk about something called the "intensity" of the poisson point process. This is a fancy word that just means how often the objects are placed in the area. If the intensity is high, that means there are a lot of objects placed close together. If the intensity is low, that means there are fewer objects placed further apart.

So, in our park example, if there were a lot of sticks close together, that would be a high intensity poisson point process. If the sticks were spread out more, that would be a low intensity poisson point process.

Finally, one last thing to know about poisson point processes is that there are some rules that they follow. For example, the objects can't overlap each other. Think about it - you can't pick up two sticks that are in the exact same spot! Another rule is that the objects are placed independently of each other - that means that where one stick is placed doesn't affect where the next stick is placed.

So there you have it! A poisson point process is just a fancy way of saying that objects are randomly scattered in an area, and there are rules that they have to follow.