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26 April 2024 |
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Higher Criticism Statistic: Detecting and Identifying Non-Gaussianity in the WMAP First Year Data | | L. Cayon
; J. Jin
; A. Treaster
; | | Date: |
11 Jul 2005 | | Journal: | Mon.Not.Roy.Astron.Soc. 362 (2005) 826-832 | | Subject: | astro-ph | | Affiliation: | Department of Physics. Purdue University, Department of Statistics. Purdue University | | Abstract: | Higher Criticism is a recently developed statistic for non-Gaussian detection, proposed in Donoho & Jin 2004. We find that Higher Criticism is useful for two purposes. First, Higher Criticism has competitive detection power, and non-Gaussianity is detected at the level 99% in the first year WMAP data. We find that the Higher Criticism value of WMAP is outside the 99% confidence region at a wavelet scale of 5 degrees (99.46% of Higher Criticism values based on simulated maps are below the values for WMAP). Second, Higher Criticism offers a way to locate a small portion of data that accounts for the non-Gaussianity. Using Higher Criticism, we have successfully identified a ring of pixels centered at (lapprox 209 deg, bapprox -57 deg), which seems to account for the observed detection of non-Gaussianity at the wavelet scale of 5 degrees. Note that the detection is achieved in wavelet space first. Second, it is always possible that a fraction of pixels within the ring might deviate from Gaussianity even if they do not appear to be above the 99% confidence level in wavelet space. The location of the ring coincides with the cold spot detected in Vielva et al. 2004 and Cruz et al. 2005. | | Source: | arXiv, astro-ph/0507246 | | Services: | Forum | Review | PDF | Favorites | |
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