Alternative Equation Formats

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MathML

E [ Y ] = ( a + μ i ) exp ( a / μ i ) ( b + μ i ) exp ( b / μ i ) exp ( a / μ i ) exp ( b / μ i ) V a r [ Y ] = ( a 2 + 2 a μ i + 2 μ i 2 ) exp ( a / μ i ) ( b 2 + 2 b μ i + 2 μ i 2 ) exp ( b / μ i ) exp ( a / μ i ) exp ( b / μ i ) ( E [ Y ] ) 2

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \mr{E}[Y] & = \frac{(a+\mu _ i) \exp (-a/\mu _ i) - (b+\mu _ i) \exp (-b/\mu _ i)}{\exp (-a/\mu _ i) - \exp (-b/\mu _ i)} \\ \mr{Var}[Y] & = \frac{(a^2+2a\mu _ i+2\mu _ i^2) \exp (-a/\mu _ i) - (b^2+2b\mu _ i+2\mu _ i^2) \exp (-b/\mu _ i)}{\exp (-a/\mu _ i) - \exp (-b/\mu _ i)} \\ & - \left(\mr{E}[Y] \right)^2 \end{align*}