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Past exam of the mathematics course of the University of Oxford / Undated / Prelims / Mathematics III resit / 7 / c / i

Codex (@codex,  0) ... Past exam of the mathematics course of the University of Oxford Undated Prelims Mathematics III resit 7 c
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i
For the random vector ϵ=(ϵ1​,…,ϵn​)⊤, its covariance matrix is
Σ=E[(ϵ−Eϵ)(ϵ−Eϵ)⊤],Σij​=Cov(ϵi​,ϵj​).​
(1)
Its diagonal entries are variances, and its off-diagonal entries measure pairwise covariance. Finite second moments make every entry well defined.

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