---
title: "Kumaraswamy"
canonical: "https://modelassist.epixanalytics.com/space/EA/26575239/Kumaraswamy"
format: markdown
---
**No CrystalBall function**

**Kumaraswamy(*****a,b*****)**

[Kumaraswamy equations](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26576246/)

 

The Kumaraswamy distribution is bounded at zero and 1 and can take a wide variety of shapes. It is therefore useful for many of the areas where the [Beta distribution](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26575217/) is used: the modeling of a prevalence, probability or fraction. Rescaling and shifting the distribution allows a four-parameter bounded distribution like the <span style="color: #ff0000">Beta General</span> that can take on many shapes and any finite range. Examples of the Kumaraswamy distribution are given below:

 

![image](media://50b98fd8-fae9-4a46-9fbb-35b266116d88)

![image](media://b68f2431-43ba-45b4-9e35-191268268d25)

### Uses

The Kumaraswamy distribution is not widely used but, for example, it has been applied to model the storage volume of a reservoir ([<span style="color: #ff0000">Fletcher and Ponnambalam, 1996</span>](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26579303)) and system design. It has a simple form for its density and cumulative distributions, and is very flexible like the Beta distribution (which does not have simple forms for these functions). It will probably have a lot more applications as it becomes better known.

 

### Comments

Poondi Kumaraswamy (1930 – 1988) was a leading Indian engineer and hydrologist. He introduced the distribution in [<span style="color: #ff0000">Kumaraswamy (1980)</span>](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26579303).

 

 

 

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