New theorem reveals how sums of random variables are distributed
The central limit theorem states that when you add up a bunch of random numbers, the result will follow a specific pattern. This pattern is based on the type of numbers you're adding together. The theorem comes from a branch of math called ergodic theory. It tells us that if we have a lot of independent and identically distributed numbers, their sum will be distributed in a predictable way. This helps us understand how different types of data behave when we combine them.