Kumaraswamy Distribution PDF Calculator

Kumaraswamy Distribution PDF Calculator

For the Kumaraswamy distribution with parameters \(a\) and \(b\), the probability density function is given by: $$ f(x; a, b) = a\, b\, x^{a-1}\,(1 – x^a)^{b-1}, \quad 0 \le x \le 1. $$

* Enter the value of \(x\) (between 0 and 1) and the parameters \(a > 0\) and \(b > 0\).

Step 1: Enter Parameters

e.g., 0.5 (between 0 and 1)

e.g., 2

e.g., 3

Formula: $$ f(x; a, b) = a\, b\, x^{a-1}\,(1 – x^a)^{b-1} \quad (0 \le x \le 1). $$

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Kumaraswamy Distribution Mean Calculator: Accurately determine the expected value or mean for given parameters.

Kumaraswamy Distribution Median Calculator: Identify the median value, which divides the distribution into two equal probability areas.

Kumaraswamy Distribution Mode Calculator: Calculate the mode, the value that appears most frequently within the distribution.

Kumaraswamy Distribution CDF Calculator: Evaluate cumulative probabilities up to a specified point.

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