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

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CDF F(2)

0

PDF f(2) = 0

Distribution Curve (PDF)

Mean (α > 1)

Variance (α > 2)

Formulas

PDF

CDF

Mean (α > 1)

Variance (α > 2)

Frequently Asked Questions

About the Pareto

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.

Explore More

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Gamma Distribution

Two-parameter continuous distribution.

Log-Normal

Models positive skewed data.

Normal Distribution

Calculate probabilities and Z-scores for normal curves.