Gumbel Distribution

The Gumbel distribution is a statistical model used to analyze the extreme values within a dataset, such as the highest river flow or maximum temperatures. It helps predict rare events by characterizing the probability of very large or very small outcomes. Essentially, it models the likelihood of extreme deviations from typical values, enabling risk assessment and decision-making in fields like meteorology, engineering, and environmental science. The distribution is defined by parameters that shape its behavior, allowing it to accurately describe the tail ends of data where extreme events occur.