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

Math Rendered as SVG

Math as LaTeX Source

\[ \hat Q(\hat p_ U)= \left\{ \begin{array}{ll} y_{(1)} & \mbox{ if } \hat p_ U<\hat F(y_{(1)}) \\ y_{(k_ U)}+\displaystyle {\frac{\hat p_ U-\hat F(y_{(k_ U)})}{\hat F(y_{(k_ U+1)})-\hat F(y_{(k_ U)})}} (y_{(k_ U+1)}-y_{(k_ U)}) & \mbox{ if } \hat F(y_{(k_ U)}) \le \hat p_ U < \hat F(y_{(k_ U+1)}) \\ y_{(d)} & \mbox{ if } \hat p_ U=1 \end{array} \right. \]