Alternative Equation Formats

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MathML

l ( μ i , ϕ ; a , b , y i , w i ) = 1 2 [ w i ( y i μ i ) 2 ϕ + log { ϕ w i } + log { 2 π } ] log { Φ [ w i / ϕ ( b μ i ) ] Φ [ w i / ϕ ( a μ i ) ] }

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} l(\mu _ i, \phi ; a, b, y_ i, w_ i) & = -\frac{1}{2} \left[ \frac{w_ i(y_ i-\mu _ i)^2}{\phi } + \log \left\{ \frac{\phi }{w_ i}\right\} + \log \{ 2\pi \} \right] \\ & - \log \left\{ \Phi \left[ \sqrt{w_ i/\phi }(b-\mu _ i) \right] - \Phi \left[ \sqrt{w_ i/\phi }(a-\mu _ i) \right]\right\} \end{align*}