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beta

Description

 The names Beta or β may refer to any of several distinct mathematical quantities.
 • For the Beta function, see Beta.
 • For the Beta distribution in statistics, see Statistics[Distributions][Beta].
 • For the non-central Beta distribution in statistics, see Statistics[Distributions][NonCentralBeta].

Examples

 > $\mathrm{convert}\left(\mathrm{Β}\left(x,y\right),\mathrm{\Gamma }\right)$
 $\frac{{\mathrm{\Gamma }}{}\left({x}\right){}{\mathrm{\Gamma }}{}\left({y}\right)}{{\mathrm{\Gamma }}{}\left({y}{+}{x}\right)}$ (1)
 > $\mathrm{with}\left(\mathrm{Statistics}\right):$
 > $X≔\mathrm{RandomVariable}\left(\mathrm{BetaDistribution}\left(a,b\right)\right)$
 ${X}{≔}{\mathrm{_R}}$ (2)
 > $\mathrm{Variance}\left(X\right)$
 $\frac{{a}{}{b}}{{\left({a}{+}{b}\right)}^{{2}}{}\left({a}{+}{b}{+}{1}\right)}$ (3)