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:

• Wikipedia, The Free Encyclopedia. Beta distribution. Available from: http://en.wikipedia.org/wiki/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: