Infinitely Divisible

An infinitely divisible distribution is a type of probability distribution that can be broken into an arbitrary number of smaller, independent, and identical parts, each representing a smaller "piece" of the whole. In practical terms, this means the overall process can be divided into many smaller sub-processes with similar characteristics. For example, the normal distribution (bell curve) is infinitely divisible because it can be thought of as the sum of many smaller normal distributions. This property is important in fields like finance and signal processing, where complex processes are modeled as combinations of simpler, repetitive components.