Alternative Equation Formats

The equation on this page is available in multiple formats. Depending on your browser, some formats might not render correctly.

MathML

Q ^ D ( p ^ D U ) = { y ( 1 )  if  p ^ D U < F ^ D ( y ( 1 ) ) y ( k U ) + ( p ^ D U F ^ D ( y ( k U ) ) ) ( y ( k U + 1 ) y ( k U ) ) F ^ D ( y ( k U + 1 ) ) F ^ D ( y ( k U ) )  if  F ^ D ( y ( k U ) ) p ^ D U < F ^ D ( y ( k U + 1 ) ) y ( d )  if  p ^ D U = 1

Math Rendered as SVG

Math as LaTeX Source

\[ \hat Q_ D(\hat{p}_{DU})= \left\{ \begin{array}{ll} y_{(1)} & \mbox{ if } \hat{p}_{DU}<\hat F_ D(y_{(1)}) \\ y_{(k_ U)}+\displaystyle {\frac{(\hat{p}_{DU}-\hat F_ D(y_{(k_ U)}))(y_{(k_ U+1)}-y_{(k_ U)})}{\hat F_ D(y_{(k_ U+1)})-\hat F_ D(y_{(k_ U)})}} & \mbox{ if } \hat F_ D(y_{(k_ U)}) \le \hat p_{DU} < \hat F_ D(y_{(k_ U+1)}) \\ y_{(d)} & \mbox{ if } \hat p_{DU}=1 \end{array} \right. \]