# Beta PDF

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A <math> \beta </math> [[probability density function]] depends on | A <math> \beta </math> [[probability density function]] depends on | ||

two moments only; the mean <math> \mu </math> and the variance <math> \sigma </math>. | two moments only; the mean <math> \mu </math> and the variance <math> \sigma </math>. |

## Revision as of 02:51, 17 December 2008

sitvarvior A probability density function depends on two moments only; the mean and the variance . This function is widely used in turbulent combustion to define the scalar distribution at each computational point as a function of the mean and variance. Assuming that the sample space of the scalar varies betwen 0 and 1. The beta function PDF has the form

where is the gamma function and the parameters and are related through

where is