Hp 49g+ User Manual download pdf (Page 556)

The corresponding (cumulative) distribution function (cdf) would be given by

an integral that has no closed-form solution.

The exponential distribution

The exponential distribution is the gamma distribution with a = 1. Its pdf is

while its cdf is given by F(x) = 1 - exp(-x/β), for x>0, β >0.

The beta distribution

The pdf for the gamma distribution is given by

As in the case of the gamma distribution, the corresponding cdf for the beta

distribution is also given by an integral with no closed-form solution.

The Weibull distribution

The pdf for the Weibull distribution is given by

0,0,0),exp()(

While the corresponding cdf is given by

0,0,0),exp(1)( >>>⋅−−= βαα

Functions for continuous distributions

To define a collection of functions corresponding to the gamma, exponential,

beta, and Weibull distributions, first create a sub-directory called CFUN

Hp 49g+ User Manual Page 556