What is Pareto Distribution?

A power-law probability distribution found in social, scientific, and geophysical phenomena.

Named after Vilfredo Pareto, it's often used to model the distribution of wealth (80% of wealth held by 20% of population).

xₘ is the Scale (minimum possible value). α (Alpha) is the Shape parameter (Tail Index).

Pareto Distribution Calculator

Model power-law phenomena and wealth distribution (80-20 rule).

Scale (xₘ)

Minimum possible value

Shape (α)

Tail index (1.16 ≈ 80-20 rule)

Target Value (x)

x must be >= 1

CDF F(2)

PDF f(2) = 0

Mean (α > 1)

Variance (α > 2)

Formulas

PDF

CDF

Mean (α > 1)

Variance (α > 2)

Frequently Asked Questions

How to Use

What it calculates

This pareto solves mathematical and statistical problems using standard formulas. Power-law (80-20 rule) distribution.

When to use it

Use for homework, data analysis, exam prep, or quick verification of manual calculations.

Example

Adjust the inputs above to model your specific scenario with the Pareto.

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