Goodness-of-fit tests of Gaussianity: constraints on the cumulants of the MAXIMA data
| Autor: | L. Cayón, R. B. Barreiro, J. L. Sanz, Enrique Martínez-González, Antonio M. Aliaga, Francisco Argüeso |
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| Rok vydání: | 2003 |
| Předmět: |
Physics
Gaussian Astrophysics (astro-ph) FOS: Physical sciences Astronomy Astronomy and Astrophysics Probability density function Edgeworth series Astrophysics symbols.namesake Goodness of fit Space and Planetary Science Skewness symbols Kurtosis Statistical physics Maxima Independence (probability theory) |
| Zdroj: | New Astronomy Reviews. 47:821-826 |
| ISSN: | 1387-6473 |
| DOI: | 10.1016/j.newar.2003.07.010 |
| Popis: | In this work, goodness-of-fit tests are adapted and applied to CMB maps to detect possible non-Gaussianity. We use Shapiro-Francia test and two Smooth goodness-of-fit tests: one developed by Rayner and Best and another one developed by Thomas and Pierce. The Smooth tests test small and smooth deviations of a prefixed probability function (in our case this is the univariate Gaussian). Also, the Rayner and Best test informs us of the kind of non-Gaussianity we have: excess of skewness, of kurtosis, and so on. These tests are optimal when the data are independent. We simulate and analyse non-Gaussian signals in order to study the power of these tests. These non-Gaussian simulations are constructed using the Edgeworth expansion, and assuming pixel-to-pixel independence. As an application, we test the Gaussianity of the MAXIMA data. Results indicate that the MAXIMA data are compatible with Gaussianity. Finally, the values of the skewness and kurtosis of MAXIMA data are constrained by |S| \le 0.035 and |K| \le 0.036 at the 99% confidence level. New Astronomy Reviews, in press |
| Databáze: | OpenAIRE |
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