Alternative Equation Formats

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

MathML

E [ T Y e ( x ) ] E [ ( 1 T ) Y 1 e ( x ) ] = E [ Y ( 1 ) e ( x ) E [ T   |   x ] ] E [ Y ( 0 ) 1 e ( x ) E [ ( 1 T )   |   x ] ] = E [ Y ( 1 ) ] E [ Y ( 0 ) ]

Math Rendered as SVG

Math as LaTeX Source

\[ E \left[ \frac{T Y}{e(\mb{x})} \right] - E \left[ \frac{(1-T)Y}{1-e(\mb{x})} \right] = E \left[ \frac{Y(1)}{e(\mb{x})}E \left[T~ |~ \mb{x} \right] \right]- E \left[ \frac{Y(0)}{1-e(\mb{x})}E \left[(1-T)~ |~ \mb{x} \right] \right] = E \left[ Y(1) \right] - E \left[ Y(0) \right] \]