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Q51Section I (Objective (Q1–Q80))50 of 79

Multivariate Analysis — noncentral chi-square from a normal vector

If Y\mathbf Y is N3(μ,Σ)N_3(\mu,\Sigma) where μ′=(3,−2,1)\mu'=(3,-2,1) and Σ=diag(2,4,3)\Sigma=\mathrm{diag}(2,4,3), then the distribution of Y′Σ−1Y\mathbf Y'\Sigma^{-1}\mathbf Y is:

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