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Pareto Distribution Calculator

Evaluate cumulative and tail probabilities for a Type I Pareto 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 minimum value, shape alpha, value x.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

For x≥minimum, survival=(minimum/x)^alpha and CDF=1−survival; below the minimum CDF=0.

A WORKED EXAMPLE

Using minimum value = 1, shape alpha = 2, value x = 2, the result is 0.75. Change these example inputs to match your task; use the method above to check each step.

Understanding your result

Type I Pareto with fixed lower bound. Tail weight depends on alpha; this is not an automatic 80/20 rule calculation.

What to keep in mind

Type I Pareto with fixed lower bound. Tail weight depends on alpha; this is not an automatic 80/20 rule calculation. 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 pareto distribution calculator?

Evaluate cumulative and tail probabilities for a Type I Pareto distribution. Enter minimum value, shape alpha, value x. The starting example is editable; use values for the same system or project.

Which assumptions affect this result?

Type I Pareto with fixed lower bound. Tail weight depends on alpha; this is not an automatic 80/20 rule calculation.

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