The maximum extreme distribution is continuous. It is commonly used to describe the largest value of a response over a period of time: for example, in flood flows, rainfall, and earthquakes. Other applications include the breaking strengths of materials, construction design, and aircraft loads and tolerances. This distribution is also known as the Gumbel distribution. and is closely related to the minimum extreme distribution, its "mirror image."
The following sections describe the parameters, conditions, and other features of this distribution: