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Gumbel Distribution Calculator

Evaluate the maximum-form Gumbel cumulative distribution.

Data stays on this deviceConvention explained below
Probability workspace
Probability workspace

Probabilities range from 0 to 1. Check whether the method gives cumulative or exact-count probability.

See the method

Set model parameters

Runs on your device

Your probability

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter location, scale, value x.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

For z=(x−location)/scale, CDF=exp[−exp(−z)].

A WORKED EXAMPLE

Using location = 0, scale = 1, value x = 1, the result is 0.692200628. Change these example inputs to match your task; use the method above to check each step.

Understanding your result

Maximum extreme-value convention. The minimum-form distribution uses different signs; no parameter fitting is performed.

What to keep in mind

Maximum extreme-value convention. The minimum-form distribution uses different signs; no parameter fitting is performed. A descriptive or probability calculation under the stated assumptions. Check the sample design and model before interpreting results.

Common questions

How do I use this gumbel distribution calculator?

Evaluate the maximum-form Gumbel cumulative distribution. Enter location, scale, value x. The starting example is editable; use values for the same system or project.

Which assumptions affect this result?

Maximum extreme-value convention. The minimum-form distribution uses different signs; no parameter fitting is performed.

Methodology maintained by ClarityKit. How these tools are built and checked.