Alternative Equation Formats

$${\displaystyle \begin{array}{lcl}{v}_i& =& \frac{(1-<!--\; -\; -->\frac{3}{8i})\underset{j=1}{\overset{i}{\sum <!--\; \sum \; -->}}{w}_{(j)}}{(1+\frac{1}{4n})\underset{i=1}{\overset{n}{\sum <!--\; \sum \; -->}}{w}_i}\\ w_{(j)}& =& \text{weight associated with the }j\text{th ordered observation}\end{array}}$$

$${\displaystyle \begin{array}{lcl}{v}_i& =& \frac{(1-<!--\; -\; -->\frac{3}{8i})\underset{j=1}{\overset{i}{\sum <!--\; \sum \; -->}}{w}_{(j)}}{(1+\frac{1}{4n})\underset{i=1}{\overset{n}{\sum <!--\; \sum \; -->}}{w}_i}\\ w_{(j)}& =& \text{weight associated with the }j\text{th ordered observation}\end{array}}$$

\[ \begin{array}{lcl} v_ i & = & \frac{(1-\frac{3}{8i})\sum _{j=1}^{i}w_{(j)}}{(1+\frac{1}{4n})\sum _{i=1}^{n}w_ i} \\ w_{(j)} & = & \mbox{weight associated with the }j\mbox{th ordered observation} \\ \end{array} \]