Maximum Extreme Distribution

Maximum Extreme distribution icon

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”.

Parameters

Likeliest, Scale

Note:

After you select the Likeliest parameter, you can estimate the Scale parameter. The Scale parameter is a number greater than 0. The larger the Scale parameter, the greater the variance.

Conditions

Conditions and parameters are complex. See: Castillo, Enrique. Extreme Value Theory in Engineering. London: Academic Press, 1988.