Cosmic microwave background anomalies viewed via Gumbel Statistics

Details Cosmic microwave background anomalies viewed via Gumbel Statistics Cosmic microwave background anomalies viewed via Gumbel Statistics

2009-08-13

arxiv.org/abs/0908.1931v3

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

5 pages, 8 figures, accepted for publication in MNRAS. This version: added references

Scientific paper

We describe and discuss the application of Gumbel statistics, which model extreme events, to WMAP 5-year measurements of the cosmic microwave background. We find that temperature extrema of the CMB are well modelled by the Gumbel formalism and describe tests for Gaussianity that the approach can provide. Comparison to simulations reveals Gumbel statistics to have only weak discriminatory power for the conventional statistic: $f_{NL}<1000$, though it may probe other regimes of non-Gaussianity. Tests based on hemispheric cuts reveal interesting alignment with other reported CMB anomalies. The approach has the advantage of model independence and may find further utility with smaller scale data.

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