What is Gamma Distribution?

It is a two-parameter family of continuous probability distributions. It generalizes the Exponential distribution (which is Gamma with k=1).

What do k and θ represent?

k (kappa) is the shape parameter. θ (theta) is the scale parameter. Sometimes α (shape) and β (rate = 1/θ) are used instead.

Used to model waiting times (e.g., time until k-th event), rainfall amounts, and insurance claims.

Gamma Distribution Calculator

Calculate probability density for events with shape k and scale θ.

Shape Parameter (k)

Scale Parameter (θ)

Target Value (x)

x >= 0

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CDF F(4)

0

PDF f(4) = 0

Distribution Curve (PDF)

Mean

Variance

Formulas

PDF

Mean

Variance

Frequently Asked Questions

About the Gamma Distribution

What it calculates

This gamma distribution solves mathematical and statistical problems using standard formulas. Two-parameter continuous 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 Gamma Distribution.

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Gamma Distribution Calculator

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Distribution Curve (PDF)

About the Gamma Distribution

Related Calculators

Beta Distribution

Cauchy

Exponential

Log-Normal

Normal Distribution

Pareto