I am also trying to fit data to a beta distribution. 

In Ang and Tang, Probability Concepts in Engineering, 2nd Ed., page 127-9,
they describe a variant of a beta distribution with additional parameters
than the standard beta distribution, enabling specification of a max and min
value other than 0,1. This would be very useful for my purposes. 

Any thoughts on how to fit a distribution directly to this variant of the
beta distribution, without starting from scratch? 


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