Kumaraswamy Distribution Median Calculator

Kumaraswamy Distribution Median Calculator

For the Kumaraswamy distribution with parameters \(a\) and \(b\), the CDF is given by: $$ F(x; a, b) = 1 – (1 – x^a)^b, \quad 0 \le x \le 1. $$ The median (the 50th percentile) satisfies \(F(x; a, b) = 0.5\) and can be computed as: $$ \text{Median} = \Bigl[1 – (0.5)^{\frac{1}{b}}\Bigr]^{\frac{1}{a}}. $$

* Enter parameters \(a > 0\) and \(b > 0\).

Step 1: Enter Parameters

e.g., 2

e.g., 3

Median Formula: $$ \text{Median} = \Bigl[1 – (0.5)^{\frac{1}{b}}\Bigr]^{\frac{1}{a}}. $$

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