Economical Models for Functional Covariation - SAMSI

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Overview Functional PCA finite element basis Estimation Examples Extensions and discussion The range of w ∫ σ(s, t) = λ(s, w)λ(t, w) dw + ψ(s, t) The variable of integration w varies over [−B, T ]. We use a trapezoidal domain of λ in such a way that B > T places no restriction on σ B = T implies that σ(0, T ) = 0. B < T implies that σ(s, t) = 0 for |s − t| > δ > 0. B = 0 implies that σ(s, t) = 0 for s ≠ t.
Overview Functional PCA finite element basis Estimation Examples Extensions and discussion A band-structured λ domain for [0, 4] for B = 2 σ(0.5, 3.5) = 0
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Economical Models for Functional Covariation - SAMSI

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