Alternative Equation Formats

The equation on this page is available in multiple formats. Depending on your browser, some formats might not render correctly.

MathML

Y | μ B i n o m i a l ( n , μ ) μ B e t a ( α , β ) Y B e t a - b i n o m i a l ( n , μ , ϕ ) E [ Y ] = n π V a r [ Y ] = n π ( 1 π ) { 1 + μ 2 ( n 1 ) }

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} Y|\mu & \sim \mr{Binomial}(n,\mu ) \\ \mu & \sim \mr{Beta}(\alpha ,\beta ) \\ Y & \sim \mr{Beta}\mbox{-}\mr{binomial}(n,\mu ,\phi ) \\ \mr{E}[Y] & = n\pi \\ \mr{Var}[Y] & = n\pi (1-\pi )\left\{ 1+\mu ^2(n-1)\right\} \end{align*}