# Alternative Equation Formats

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

## MathML

${\mathit{l}\mathit{l}}_{i}={y}_{i}\mathrm{log}\left(\frac{k\theta }{{w}_{i}}\right)-\left({y}_{i}+{w}_{i}/k\right)\mathrm{log}\left(1+\frac{k\theta }{{w}_{i}}\right)+\mathrm{log}\left(\frac{\mathrm{\Gamma }\left({y}_{i}+{w}_{i}/k\right)}{\mathrm{\Gamma }\left({y}_{i}+1\right)\mathrm{\Gamma }\left({w}_{i}/k\right)}\right)$

## MathML rendered with MathJax

${\mathit{l}\mathit{l}}_{i}={y}_{i}\mathrm{log}\left(\frac{k\theta }{{w}_{i}}\right)-\left({y}_{i}+{w}_{i}/k\right)\mathrm{log}\left(1+\frac{k\theta }{{w}_{i}}\right)+\mathrm{log}\left(\frac{\mathrm{\Gamma }\left({y}_{i}+{w}_{i}/k\right)}{\mathrm{\Gamma }\left({y}_{i}+1\right)\mathrm{\Gamma }\left({w}_{i}/k\right)}\right)$

## Math as LaTeX Source

$\mathit{ll}_ i = y_ i\log \left(\frac{k\theta }{w_ i} \right) - (y_ i+w_ i/k)\log \left(1+\frac{k\theta }{w_ i} \right) + \log \left(\frac{\Gamma (y_ i+w_ i/k)}{\Gamma (y_ i+1)\Gamma (w_ i/k)}\right)$