ELI5: Explain Like I'm 5

Laplace distribution

Okay, so let me try to explain what a Laplace distribution is like you're five years old.

Imagine you have a bunch of marbles. Some of these marbles are red and some are blue. The red marbles represent things that happen a lot, like when you blink or breathe. The blue marbles represent things that don't happen as much, like when a shooting star streaks across the sky.

If you take all of these marbles and put them into a big jar, you can shake the jar up and then pour them out. The marbles will fall randomly on the floor. If you look at the number of red marbles that fell in each area, you can make a graph. This graph shows how many times each number of red marbles fell in that area.

This graph would look like a "normal distribution". It looks kind of like a mountain with a hump in the middle. But what if you added some blue marbles too?

Now the graph wouldn't be a normal distribution anymore. It would look flatter at the top and spike up more quickly at the sides. This is what a Laplace distribution looks like!

So, to sum it up, a Laplace distribution is a way to show how often things happen randomly. It looks different from a normal distribution when some things happen more often than others.