Generalized Beta Distribution

(cont prob. dist for equations)

 

Usage:

Beta4Dist (x, a, b, c, d)

Definition:

Be ((x - c) / (d - c), a, b)

where Be is the beta distribution

Parameters:

c is lower endpoint     d is upper endpoint

Required:

a > 0     b > 0     d > c

Moments:

c £ x £ d

 

This is a beta distribution that has been shifted and scaled, so that the pdf has nonzero values from x=c to x=d, instead of from x=0 to x=1.  This distribution has great flexibility to fit almost any smooth, unimodal distribution with no tails (i.e., only nonzero over a finite range).