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} K (μ_{i}, π_{i}, y_{i}) & = \sum_{h = 1}^{M} {π_{i h} \prod_{g = 1}^{M} [π_{i g} (1 - μ_{i}) + μ_{i} 1 (g = h)]^{y_{i g}}} \\ l (μ_{i}, π_{i}, y_{i}) & = \log {Γ (n_{i} + 1)} - \sum_{g = 1}^{M} \log {Γ (y_{i j} + 1)} + \log {K (μ_{i}, π_{i}, y_{i})} \\ l (μ_{i}, π_{i}, y_{i}, w_{i}) & = w_{i} l (μ_{i}, π_{i}, y_{i}) \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} K(\mu _ i,\bpi _ i,\mb{y}_ i) & = \sum _{h=1}^ M \Big\{ \pi _{ih} \prod _{g=1}^ M [ \pi _{ig} (1 - \mu _ i) + \mu _ i 1(g=h) ]^{y_{ig}} \Big\} \\ l(\mu _ i,\bpi _ i,\mb{y}_ i) & = \log \{ \Gamma (n_ i+1)\} - \sum _{g=1}^{M} \log \{ \Gamma (y_{ij}+1)\} + \log \{ K(\mu _ i,\bpi _ i,\mb{y}_ i)\} \\ l(\mu _ i,\bpi _ i,\mb{y}_ i,w_ i) & = w_ i l(\mu _ i,\bpi _ i,\mb{y}_ i) \end{align*}