Alternative Equation Formats

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MathML

V a r ^ h ( P ^ r ) = n h ( 1 f h ) n h 1   i = 1 n h ( e r   h i e ¯ r   h ) 2 e r h i = ( j = 1 m h i ( δ h i j ( r   ) P ^ r )   W h i j )   /   N ^ e ¯ r h = ( i = 1 n h   e r   h i )   /   n h

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \widehat{\mr{Var}}_ h(\widehat{P}_{r \cdot }) & =& \frac{n_ h(1-f_ h)}{n_ h-1} ~ \sum _{i=1}^{n_ h} (e_{r \cdot }^{~ hi} - \bar{e}_{r \cdot }^{~ h})^2 \\ e_{r \cdot }^{ hi} & =& \left( \sum _{j=1}^{m_{hi}} ({\delta _{hij} (r ~ \cdot ) - \widehat{P}_{r \cdot }) ~ W_{hij}} \right) ~ / ~ \widehat{N} \\[0.1in] \bar{e}_{r \cdot }^{ h} & =& \left( \sum _{i=1}^{n_ h} ~ {e_{r \cdot }^{~ hi}} \right) ~ / ~ n_ h \end{eqnarray*}