Nonparametric Rotations for Sphere-Sphere Regression
نویسندگان
چکیده
منابع مشابه
Rotations of the Riemann Sphere
The set Rot(S) of such rotations forms a group, most naturally viewed as a subgroup of GL3(R). Showing this requires some linear algebra. Recall that if m ∈ M3(R), meaning that m is a 3-by-3 real matrix, then its transpose m is obtained by flipping about the diagonal. That is, mij = mji for i, j = 1, 2, 3. The transpose is characterized by the more convenient condition 〈mx, y〉 = 〈x,my〉 for all ...
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These notes supplement the discussion of linear fractional mappings presented in a beginning graduate course in complex analysis. The goal is to prove that a mapping of the Riemann sphere to itself is a rotation if and only if the corresponding map induced on the plane by stereographic projection is a linear fractional whose (two-by-two) coefficient matrix is unitary. 1. Spheres, points, and su...
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ژورنال
عنوان ژورنال: Journal of the American Statistical Association
سال: 2018
ISSN: 0162-1459,1537-274X
DOI: 10.1080/01621459.2017.1421542