Transformationally decoupling clustering and tracer bias

Gaussianizing transformations are used statistically in many non-cosmological fields, but in cosmology, we are only starting to apply them. Here I explain a strategy of analyzing the 1-point function (PDF) of a spatial field, together with the ‘essential’ clustering statistics of the Gaussianized fi...

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Bibliographic Details
Published in:Proceedings of the International Astronomical Union 2014-05, Vol.10 (S306), p.251-254
Main Author: Neyrinck, Mark C.
Format: Article
Language:English
Subjects:
Astronomy
Bias
Clustering
Contributed Papers
Cosmology
Galaxies
Statistical methods
Statistics
Strategy
Tracers
Transformations (mathematics)
Universe
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Description
Summary:Gaussianizing transformations are used statistically in many non-cosmological fields, but in cosmology, we are only starting to apply them. Here I explain a strategy of analyzing the 1-point function (PDF) of a spatial field, together with the ‘essential’ clustering statistics of the Gaussianized field, which are invariant to a local transformation. In cosmology, if the tracer sampling is sufficient, this achieves two important goals. First, it can greatly multiply the Fisher information, which is negligible on nonlinear scales in the usual δ statistics. Second, it decouples clustering statistics from a local bias description for tracers such as galaxies.
ISSN:1743-9213
1743-9221
DOI:10.1017/S1743921314013702