Monday, 28 October 2013

Weibull Distribution CDF and Quantile Calculator

An implementation of the Weibull Distribution CDF and Quantile function Calculator occurs below. The Weibull distribution function (for scale $\lambda>0$ and shape $k>0$) is:-

$\Large \frac{k}{\lambda}(\frac{x}{\lambda})^{k-1}exp(-(\frac{x}{\lambda})^k)$  

where the random variable is $0 < x < \infty$. The scale and shape 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 field needs to contain a real number greater or the string -inf (for minus infinity). The upper limit field needs to contain either a number greater than or equal to 0 or the string inf (for plus infinity). The probability field must contain a number only.



$\lambda$:
k:


Lower limit:
Upper limit:
Probablility:



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