Beta Distribution Fitting
The beta distribution is a family of continuous probability distributions
defined on the interval (0, 1) parameterized by two positive shape parameters,
typically denoted by α and β. The beta distribution can be suited to the
statistical modeling of proportions in applications where values of proportions
equal to 0 or 1 do not occur. One theoretical case where the beta distribution
arises is as the distribution of the ratio formed by one random variable having
a Gamma distribution divided by the sum of it and another independent random
variable also having a Gamma distribution with the same scale parameter (but
possibly different shape parameter).
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