Alternative Equation Formats

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MathML

M P T G L S = c ¯ 2 ( T 1 ) 2 t = 1 T 1 ( y t d ) 2 c ¯ ( T 1 ) 1 ( y T d ) 2 ω ^ 2 for z t = 1 M P T G L S = c ¯ 2 ( T 1 ) 2 t = 1 T 1 ( y t d ) 2 + ( 1 c ¯ ) ( T 1 ) 1 ( y T d ) 2 ω ^ 2 for z t = ( 1 , t )

Math Rendered as SVG

Math as LaTeX Source

\[ \begin{array}{ll} MP_ T^{GLS}=\frac{ \bar{c}^2(T-1)^{-2} \sum _{t=1}^{T-1} (y_{t}^ d)^2 -\bar{c} (T-1)^{-1} (y_{T}^ d)^2}{\hat{\omega }^2} \quad & \text {for} \; z_ t =1 \\ MP_ T^{GLS}=\frac{ \bar{c}^2(T-1)^{-2} \sum _{t=1}^{T-1} (y_{t}^ d)^2 +(1-\bar{c}) (T-1)^{-1} (y_{T}^ d)^2}{\hat{\omega }^2}\quad & \text {for}\; z_ t =(1,t) \end{array} \]