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EnglishWe establish weak convergence of the empirical process on the spherical harmonics of a Gaussian random field in the presence of an unknown angular power spectrum. This result suggests various Gaussianity tests with an asymptotic justification. The issue of testing for Gaussianity on isotropic spherical random fields has recently received strong empirical attention in the cosmological literature, in connection with the statistical analysis of cosmic microwave background radiation.
http://hdl.handle.net/11573/19394| Titolo: | The empirical process on Gassian spherical harmonics |
| Autori interni: | PICCIONI, MAURO |
| Data di pubblicazione: | 2004 |
| Rivista: | ANNALS OF STATISTICS |
| Abstract: | We establish weak convergence of the empirical process on the spherical harmonics of a Gaussian random field in the presence of an unknown angular power spectrum. This result suggests various Gaussianity tests with an asymptotic justification. The issue of testing for Gaussianity on isotropic spherical random fields has recently received strong empirical attention in the cosmological literature, in connection with the statistical analysis of cosmic microwave background radiation. |
| Handle: | http://hdl.handle.net/11573/19394 |
| Appare nelle tipologie: | 01.a Pubblicazione su Rivista |
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