Discrete-stable distribution

Okay kiddo, first let's talk about what 'discrete-stable distribution' means. This big term basically means that there are a set of numbers that we can count (discrete) that have a predictable pattern (stable) of how often they appear.

Picture a box of toys, each toy is a number. We can count how many toys are in the box, and we can also see which toys are in the box more often than others. This is like a discrete-stable distribution.

Now let's talk about how this works in real life. Let's say we have a classroom of 30 students, and we want to see how often each student gets an answer right on a test. We can count how many students get 0 answers right, how many get 1 answer right, how many get 2 answers right, and so on.

If we do this for every student and make a chart or graph, we can see a pattern emerge - some students might get more answers right than others, but there will be a predictable pattern of how many students get each number of answers right. This is the stable part of a discrete-stable distribution.

The reason we care about this is because it can help us understand patterns and make predictions. If we know how often things happen in a certain way, we can use that information to make informed decisions or predictions about what might happen next.

So that's the basic idea of a discrete-stable distribution. It's a way of counting and analyzing patterns in sets of numbers, so we can better understand how things work and make predictions about the future.