Alternative Equation Formats

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MathML

f ( y ) = { e − λ       for  y = 0 e − y / γ e − λ ∑ n = 1 ∞ γ − n α Γ ( n α ) y n α − 1 λ n n !       for  y > 0 ϕ = λ 1 − p ( α γ ) 2 − p 2 − p μ = E ( Y ) = λ α γ V a r ( Y ) = λ α γ 2 + λ α 2 γ 2

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} f(y) & = & \left\{ \begin{array}{l} e^{-\lambda } ~ ~ ~ \mbox{for } y=0 \\ e^{-y/ \gamma } e^{-\lambda } \sum _{n=1}^{\infty } \frac{\gamma ^{-n\alpha }}{\Gamma (n \alpha )} y^{n\alpha -1} \frac{\lambda ^{n}}{n!} ~ ~ ~ \mbox{for } y > 0 \\ \end{array} \right. \\ \phi & = & \frac{\lambda ^{1-p} (\alpha \gamma )^{2-p}}{2-p} \\ \mu = \mr{E}(Y) & = & \lambda \alpha \gamma \\ \mr{Var}(Y) & = & \lambda \alpha \gamma ^2 + \lambda \alpha ^2\gamma ^2 \\ \end{eqnarray*}