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_{c} & = \log {Γ (n + 1)} - \log {Γ (y + 1)} - \log {Γ (n - y + 1)} \\ l_{1} (n, p; y) & = {\begin{cases} y \log {p} & y > 0 \\ 0 & o t h e r w i s e \end{cases} \\ l_{2} (n, p; y) & = {\begin{cases} (n - y) \log {1 - p} & n - y > 0 \\ 0 & o t h e r w i s e \end{cases} \\ l (n, p; y) & = l_{c} + l_{1} (n, p; y) + l_{2} (n, p; y) \\ E [Y] & = n p \\ V a r [Y] & = n p (1 - p) \\ 0 & < p < 1 \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} l_ c & = \log \{ \Gamma (n+1)\} - \log \{ \Gamma (y+1)\} - \log \{ \Gamma (n-y+1)\} \\ l_1(n,p;y) & = \left\{ \begin{array}{ll} y \, \, \log \{ p\} & y > 0 \cr 0 & \mr{otherwise} \end{array} \right. \\ l_2(n,p;y) & = \left\{ \begin{array}{ll} (n-y)\, \, \log \{ 1-p\} & n-y > 0 \cr 0 & \mr{otherwise} \end{array} \right. \\ l(n,p;y) & = l_ c + l_1(n,p;y) + l_2(n,p;y) \\ \mr{E}[Y] & = n\, p \\ \mr{Var}[Y] & = n\, p\, (1-p) \\ 0 & < p < 1 \end{align*}