Cauchy Distribution PDF Calculator

Cauchy Distribution PDF Calculator

Calculate the probability density for a Cauchy distribution: $$ f(x;x_0,\gamma)=\frac{1}{\pi\gamma}\left[ \frac{1}{1+\left(\frac{x-x_0}{\gamma}\right)^2}\right]. $$

* Enter the value \( x \), location parameter \( x_0 \), and scale parameter \( \gamma \) (γ > 0).

Step 1: Enter Parameters

e.g., 0

e.g., 0

e.g., 1 (γ must be > 0)

Formula: $$ f(x;x_0,\gamma)=\frac{1}{\pi\gamma}\left[ \frac{1}{1+\left(\frac{x-x_0}{\gamma}\right)^2}\right]. $$

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