Pareto Distribution CDF Calculator

Pareto Distribution CDF Calculator

Enter a value \(x\), along with the scale parameter \(x_m\) and shape parameter \(\alpha\). The CDF is computed as: $$ F(x) = 1 – \Bigl(\frac{x_m}{x}\Bigr)^\alpha \quad \text{for} \quad x \ge x_m, $$ 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 CDF is defined as: $$ F(x) = 1 – \Bigl(\frac{x_m}{x}\Bigr)^\alpha \quad \text{for} \quad x \ge x_m, $$ and \( F(x) = 0 \) for \( x < x_m \).

Input the value \( x \), the minimum value \( x_m \), and the shape parameter \(\alpha\) to compute the CDF.

Formula: \( F(x) = 1 – \Bigl(\frac{x_m}{x}\Bigr)^\alpha \) for \( x \ge x_m \)

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