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
