The Trispectrum of the 4 Year COBE-DMR data

Details The Trispectrum of the 4 Year COBE-DMR data The Trispectrum of the 4 Year COBE-DMR data

2001-11-13

arxiv.org/abs/astro-ph/0111250v2

Astrophys. J. 563, L99 (2001)

Astronomy and Astrophysics

Astrophysics

4 pages, 2 figures, emulateapj style. Updated to match published version

Scientific paper

10.1086/338602

We propose an estimator for the trispectrum of a scalar random field on a sphere, discuss its geometrical and statistical properties, and outline its implementation. By estimating the trispectrum of the 4 year COBE-DMR data (in HEALPix pixelization) we find new evidence of a non-Gaussian signal associated with a known systematic effect. We find that by removing data from the sky maps for those periods of time perturbed by this effect, the amplitudes of the trispectrum coefficients become completely consistent with predictions for a Gaussian sky. These results reinforce the importance of statistical methods based in harmonic space for quantifying non-Gaussianity.

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