The gamma distribution is a probability distribution that is often used to model the time until a Poisson process reaches a certain number of events. It is a continuous probability distribution defined by two parameters: shape (k) and scale (θ). The gamma distribution is versatile and includes several other distributions as special cases.
In simpler terms, the gamma distribution is frequently employed to model random variables in diverse fields such as physics, finance, and reliability engineering. It is particularly useful for situations where the waiting time until a specific number of events occurs is of interest.