BetaDistribution• BetaDistribution[ ,  ] gives the continuous beta distribution with shape parameters and . • When  and  have independent gamma distributions with equal scale parameters, the random variable  follows the beta distribution BetaDistribution[, ], where  and  are the shape parameters of the gamma variables.
• See also: Mean, StandardDeviation, Variance, CDF, PDF.
Examples Using InstantCalculatorsHere are the InstantCalculators for the BetaDistribution function. Enter the parameters for your calculation and click Calculate to see the result. This generates a set of random numbers that follow the continuous beta distribution.
Out[1]:= |  |
This gives the probability density function for the continuous beta distribution.
Out[2]:= |  |
This gives the cumulative distribution function for the continuous beta distribution.
Out[3]:= |  |
Entering Commands DirectlyYou can paste a template for this command via the Text Input button on the BetaDistribution Function Controller. This generates a set of random numbers that follow the continuous beta distribution.
Out[4]:= |  |
This gives the probability density function for the continuous beta distribution.
Out[5]:= |  |
This gives the cumulative distribution function for the continuous beta distribution.
Out[6]:= |  |
| 
