Lambda distribution, need help on approach

Let A~Wp(I,m) and B~Wp(I,n) with A and B independent, with m≥p. [ “ I ” is the identity matrix here] We say that:
Λ = det⁡(A) ÷ det⁡(A+B) has a wilks’ lambda distribution with parameters p,m,n. Simulate the 95th percentile of a wilks’ lambda with parameters p=3, m=5, n=6. Note this distribution is important when performing the likelihood ratio test for a MANOVA and a Multivariate Regression Model.


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