Alternative Equation Formats

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MathML

\begin{array}{rcl} {\hat{θ}}_{D}^{(r)} ({\hat{Q}}_{D} (p)) & = & Z_{r}^{- 1} \sum_{h = 1}^{H} \sum_{i = 1}^{n_{h}} \sum_{j = 1}^{m_{h i}} I_{D} (h, i, j) I_{r} (h, i, j) {\tilde{w}}_{h i j} (I (y_{h i j} \leq {\hat{Q}}_{D} (p)) - {\hat{F}}_{D} ({\hat{Q}}_{D} (p))) \\ {\hat{\bar{I}}}_{D}^{(r)} & = & Z_{r}^{- 1} \sum_{h = 1}^{H} \sum_{i = 1}^{n_{h}} \sum_{j = 1}^{m_{h i}} I_{r} (h, i, j) I_{D} (h, i, j) {\tilde{w}}_{h i j} \\ {\hat{θ}}_{D} (p) & = & \frac{\sum_{h = 1}^{H} \sum_{i = 1}^{n_{h}} \sum_{j = 1}^{m_{h i}} I_{D} (h, i, j) {\tilde{w}}_{h i j} (I (y_{h i j} \leq {\hat{Q}}_{D} (p)) - {\hat{F}}_{D} ({\hat{Q}}_{D} (p)))}{\sum_{h = 1}^{H} \sum_{i = 1}^{n_{h}} \sum_{j = 1}^{m_{h i}} I_{D} (h, i, j) {\tilde{w}}_{h i j}} \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} {\hat{\theta }}^{(r)}_ D(\hat Q_ D(p))& =& Z_ r^{-1} \sum _{h=1}^ H\sum _{i=1}^{n_ h} \sum _{j=1}^{m_{hi}} ~ I_{D}(h,i,j) I_{r}(h,i,j) ~ \tilde{w}_{hij} ~ (I(y_{hij} \le \hat Q_ D(p)) - \hat F_ D(\hat Q_ D(p))) \\ {\hat{\bar{I}}}_{D}^{(r)} & = & Z_ r^{-1} \sum _{h=1}^ H\sum _{i=1}^{n_ h} \sum _{j=1}^{m_{hi}} ~ I_{r}(h,i,j) ~ I_{D}(h,i,j) ~ \tilde{w}_{hij} \\ \hat\theta _ D(p) & =& \frac{\sum _{h=1}^ H\sum _{i=1}^{n_ h} \sum _{j=1}^{m_{hi}} ~ I_{D}(h,i,j) ~ \tilde{w}_{hij} ~ (I(y_{hij} \le \hat Q_ D(p)) - \hat F_ D(\hat Q_ D(p))) }{\sum _{h=1}^ H\sum _{i=1}^{n_ h} \sum _{j=1}^{m_{hi}} ~ I_{D}(h,i,j) ~ \tilde{w}_{hij}} \end{eqnarray*}