Kumaraswamy Distribution Inverse CDF Calculator
The Kumaraswamy distribution has CDF: $$ F(x; a, b) = 1 – (1 – x^a)^b, \quad 0 \le x \le 1. $$ Its inverse is given by: $$ F^{-1}(p; a, b) = \Bigl[ 1 – (1-p)^{\frac{1}{b}} \Bigr]^{\frac{1}{a}}, \quad 0 \le p \le 1. $$
* Enter a probability \(p\) (between 0 and 1) and parameters \(a > 0\) and \(b > 0\).
Step 1: Enter Parameters
e.g., 0.5
e.g., 2
e.g., 3
- Kumaraswamy Distribution Variance Calculator: Quickly calculate the variance, indicating the distribution’s spread around the mean.
- 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 PDF Calculator: Compute the probability density function for precise likelihood evaluation.
- Kumaraswamy Distribution CDF Calculator: Evaluate cumulative probabilities up to a specified point.