Monday, 28 October 2013

Laplace Distribution CDF and Quantile Calculator

An implementation of the Laplace Distribution CDF and Quantile function Calculator occurs below. The Laplace distribution function (for location $\mu$ real and scale $b>0$) is:-



$\Large \frac{1}{2b}\exp\left(-\frac{|x-\mu|}{b}\right)$  

where the random variable is $-\infty < x < \infty$. The location and scale 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 either a real number or the string -inf (for minus infinity). The upper limit field needs to contain either a real number or the string inf (for plus infinity). The probability field must contain a number between 0 and 1 only.



$\mu$:

$b$:


Lower limit:

Upper limit:


Probability:




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

Table of Probability Distributions

Below is a table listing commonly used probability distributions and their Cumulative Distribution Function (CDF). The table could come in ...