Question: Use a simple example to illustrate that the DD test fails to have a limiting chi-square distribution if $C_0 e A_0^{-1}$ even though $Col(C_0G_0) =

Use a simple example to illustrate that the DD test fails to have a limiting chi-square distribution if

$C_0 e A_0^{-1}$ even though $Col(C_0G_0) = Col(A_0^{-1}G_0)$ so that estimation is relatively efficient.

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