## Friday, 18 October 2013

### Beta Distribution CDF and Quantile Calculator

An implementation of the Beta Distribution CDF and Quantile function Calculator occurs below. For shape parameters $\alpha$ and $\beta$ the Beta density function is:-

$\Large\frac{x^{\alpha-1}(1-x)^{\beta-1}}{B(\alpha,\beta)}$

Note that the domain of the Beta distribution function is restricted to the range 0 to 1. The $\alpha$ and $\beta$ fields have to be filled in, as well as two out of the three fields which are labelled Lower Limit, Upper Limit and Probability. The lower limit and upper limit fields each need to contain a number between 0 and 1. The probability field must contain a number between 0 and 1 only.

 $\alpha$: $\beta$:

 Lower limit: Upper limit: Probablility:

 Plot of distribution ($f(x)$) values against $x$ values $f(x)$ $x$