Alternative Equation Formats

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MathML

\begin{aligned} p (y_{i}) & = \int \dots \int p (y_{i} | γ_{i}, β, ϕ) p (γ_{i} | θ^{*}) d γ_{i} \\ \approx 2^{r / 2} | f^{″} (y_{i}, β, θ; {\hat{γ}}_{i}) |^{- 1 / 2} \\ \sum_{j_{1} = 1}^{N_{q}} \dots \sum_{j_{r} = 1}^{N_{q}} [p (y_{i} | a_{j}^{*}, β, ϕ) p (a_{j}^{*} | θ^{*}) \prod_{k = 1}^{r} w_{j_{k}} \exp z_{j_{k}}^{2}] \end{aligned}

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Math as LaTeX Source

\begin{align*} p(\mb{y}_ i) & = \int \, \cdots \, \int p(\mb{y}_ i | \bgamma _ i,\bbeta ,\phi ) \, p(\bgamma _ i|\btheta ^*) \, \, d\bgamma _ i \\ & \approx 2^{r/2} | f''(\mb{y}_ i,\bbeta ,\btheta ;\widehat{\bgamma }_ i)|^{-1/2} \\ & \mbox{ } \sum _{j_1=1}^{N_ q} \, \cdots \, \sum _{j_ r=1}^{N_ q} \left[ p(\mb{y}_ i|\mb{a}_ j^*,\bbeta ,\phi ) p(\mb{a}_ j^*|\btheta ^*) \prod _{k=1}^ r w_{j_ k}\exp {z^2_{j_ k}} \right] \end{align*}