Thursday, January 17, 2013

Beta Distribution

The Beta Distribution is a continuous probability distribution defined on an interval of [0,1] first introduced by Leonhard Euler. The distribution is characterized by two functions, the probability density function (PDF) and cumulative distribution function (CDF).

PDF = , CDF =

α and β are the two variables that effect the shape of the distribution.
Probability density function for the Beta distribution
Cumulative distribution function for the Beta distribution
These distributions can be used in conjuncture with Bayesian analysis and be applied to many disciplines. Some current uses are to describe the transmission probability of HIV and the heterogeneity of soil attributes.
Posted by at
Labels:

No comments:

Post a Comment

Note: Only a member of this blog may post a comment.

Subscribe to: Post Comments (Atom)