Pareto Distribution PDF Calculator

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.

Formula: \( f(x) = \frac{\alpha x_m^\alpha}{x^{\alpha+1}} \) for \( x \ge x_m \)

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