e Information Criterion (AIC) for a generalized Beta
distribution fitted to the provided data.</p>
<p>This function fits a generalized Beta distribution to the provided data using maximum
likelihood estimation. It estimates the shape1, shape2, shape3, and rate parameters
of the generalized Beta distribution using maximum likelihood estimation. Then, it
calculates the AIC value based on the fitted distribution.</p>
<p>Initial parameter estimates: The function uses reasonable initial estimates
for the shape1,