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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).

References:

Beta Distribution

Where:

  • α is the shape parameter

  • β is the shape parameter

  • Γ(z) is the gamma function

  • B is the beta function


We used Accord.Statistics for this calculator

Paste a column data here(between 0 and 1 [0,1]). In format of excel, text, etc. Each sample in one line.

Calculate the probability of the fitted distribution on: Beta Distribution Calculator


Beta Distribution:

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