Equation 19.3.15579570889FCE

\begin{equation} \begin{split} & \begin{bmatrix} \nu '(\pi ^*T)_1 & \mu '\Bigl ( \operatorname{Tr}_{W_1}\bigl (\pi ^*T-\nu '(\pi ^*T)_1[W_1]\bigr )\Bigr ) \end{bmatrix}\\ =& \begin{bmatrix} \nu (T)_1 & \mu \Bigl (\operatorname{Tr}_{Y_1}\bigl (T-\nu (T)_1[Y_1]\bigr )\Bigr ) \end{bmatrix}\operatorname{cor}(Y_{\bullet },\pi ). \end{split} \end{equation}