Please help me, I don´t have any idea how to solve this problem. If $\textbf{A} \sim W_p(\mathbf{\Sigma}, m)$ and $\textbf{B} \sim W_p(\mathbf{\Sigma}, m)$ are independent Wishart matrices, show that $|\textbf{A}|/|\textbf{A}+\textbf{B}|$ has the $\Lambda(p,m,n)$ Wilk's lambda distribution.

I would be very grateful if someone could guide me.


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