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Natural coordinates for constrained correlation functions: Partial autocorrelations and the geometry of positive power spectra

Erben, Thomas
arXiv (All) · Papers
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mathematical-physicsstatistics-theory
Two-point correlation functions are a standard summary statistic in cosmic shear and large-scale-structure analyses. Their values are, however, constrained: non-negativity of the underlying power spectrum restricts any admissible sequence of correlation coefficients $(r_1,\ldots,r_N)$ to a bounded c
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