Alternative Equation Formats

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MathML

p ( y i | β , θ ) = exp { n i f ( y i , β , θ ; γ i ) } d γ i = ( 2 π ) n γ / 2 | n i f ( y i , β , θ ; γ ^ i ) | 1 / 2 exp { n i f ( y i , β , θ ; γ ^ i ) }

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} p(\mb{y}_ i|\bbeta ,\btheta ) & = \int \exp \left\{ n_ i f(\mb{y}_ i,\bbeta ,\btheta ;\bgamma _ i) \right\} \, d\bgamma _ i \\ & = \frac{(2\pi )^{n_\gamma }/2 }{|-n_ i f''(\mb{y}_ i,\bbeta ,\btheta ;\widehat{\bgamma }_ i)|^{1/2}} \exp \left\{ n_ i f(\mb{y}_ i,\bbeta ,\btheta ;\widehat{\bgamma }_ i) \right\} \end{align*}