Pareto Distribution PDF Calculator
Enter a value \(x\), along with the scale parameter \(x_m\) and shape parameter \(\alpha\). The PDF is computed as: $$ f(x) = \frac{\alpha x_m^\alpha}{x^{\alpha+1}} \quad \text{for} \quad x \ge x_m, $$ and \( f(x) = 0 \) for \( x < x_m \).
* Ensure \( x_m > 0 \) and \( \alpha > 0 \).
Step 1: Enter Parameters
e.g., 10
e.g., 5
e.g., 2
How It Works
The Pareto Distribution is defined as: $$ f(x) = \frac{\alpha x_m^\alpha}{x^{\alpha+1}} \quad \text{for} \quad x \ge x_m, $$ and \( f(x) = 0 \) for \( x < x_m \).
Enter the value \( x \), the minimum possible value \( x_m \), and the shape parameter \(\alpha\) to compute the PDF.