Alternative Equation Formats

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

MathML

\begin{aligned} l (μ_{i}, ϕ; y_{i}, w_{i}) & = y_{i} \log {\frac{ϕ μ_{i}}{w_{i}}} - (y_{i} + w_{i} / ϕ) \log {1 + \frac{ϕ μ_{i}}{w_{i}}} \\ + \log {\frac{Γ (y_{i} + w_{i} / ϕ)}{Γ (w_{i} / ϕ) Γ (y_{i} + 1)}} \\ - \log {1 - {(\frac{ϕ μ_{i}}{w_{i}} + 1)}^{- w_{i} / ϕ}} \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} l(\mu _ i,\phi ;y_ i,w_ i) & = y_ i \log \left\{ \frac{\phi \mu _ i}{w_ i}\right\} - (y_ i + w_ i / \phi )\log \left\{ 1 + \frac{\phi \mu _ i}{w_ i}\right\} \\ & + \log \left\{ \frac{\Gamma (y_ i + w_ i/\phi )}{\Gamma (w_ i/\phi ) \Gamma (y_ i + 1)} \right\} \\ & - \log \left\{ 1 - \left( \frac{\phi \mu _ i}{w_ i} + 1 \right)^{-w_ i/\phi } \right\} \end{align*}