Alternative Equation Formats

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

MathML

log⁡L(θ;x)=∑i=1n{yi⋅log{ϕ⋅λiwi}−(yi+wiϕ)⋅log{1+ϕ⋅λiwi}+log{Γ(yi+wi/ϕ)Γ(wi/ϕ)Γ(yi+1)}}

MathML rendered with MathJax

log⁡L(θ;x)=∑i=1n{yi⋅log{ϕ⋅λiwi}−(yi+wiϕ)⋅log{1+ϕ⋅λiwi}+log{Γ(yi+wi/ϕ)Γ(wi/ϕ)Γ(yi+1)}}

Math as LaTeX Source

\[ \log L(\theta ;x) = \sum _{i=1}^{n} \left\{ y_ i\cdot \log \left\{ \frac{\phi \cdot \lambda _ i}{w_ i}\right\} - (y_ i+\frac{w_ i}{\phi }) \cdot \log \left\{ 1 + \frac{\phi \cdot \lambda _ i}{w_ i} \right\} +\log \left\{ \frac{\Gamma (y_ i+w_ i/\phi )}{\Gamma (w_ i/\phi )\Gamma (y_ i+1)}\right\} \right\} \]