Alternative Equation Formats

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MathML

\begin{array}{rcl} f (y) & = & {\begin{cases} ω + (1 - ω) e^{- λ} for y = 0 \\ (1 - ω) \frac{λ^{y} e^{- λ}}{y!} for y = 1, 2, \dots \end{cases} \\ ϕ & = & 1 \\ μ = E (Y) & = & (1 - ω) λ \\ V a r (Y) & = & (1 - ω) λ (1 + ω λ) \\ = & μ + \frac{ω}{1 - ω} μ^{2} \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} f(y) & = & \left\{ \begin{array}{l} \omega + (1-\omega )\mr{e}^{-\lambda }~ ~ ~ \mbox{for } y=0 \\ (1-\omega )\frac{\lambda ^ y \mr{e}^{-\lambda }}{y!}~ ~ ~ \mbox{for } y = 1,2,\ldots \\ \end{array} \right. \\ \phi & = & 1 \\ \mu = \mr{E}(Y) & = & (1-\omega )\lambda \\ \mr{Var}(Y) & = & (1-\omega )\lambda (1+\omega \lambda ) \\ & = & \mu + \frac{\omega }{1-\omega }\mu ^2 \\ \end{eqnarray*}