Mathematics – Logic
Scientific paper
Apr 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvd..49.3810x&link_type=abstract
Physical Review D, Vol. 49, No. 8, p. 3810 - 3829
Mathematics
Logic
Cosmic Microwave Background: Temperature Fluctuations, Early Universe: Density Perturbations
Scientific paper
Information about the physical processes that generate the primordial fluctuations in the early universe can be gained by testing the Gaussian nature of the fluctuations through cosmic microwave background radiation (CBR) temperature anisotropy experiments. One of the crucial aspects of density perturbations that are produced by the standard inflation scenario is that they are Gaussian, whereas seeds produced by topological defects left over from an early cosmic phase transition tend to be non-Gaussian. For this test, sophisticated statistical tools are required. The author discusses several such statistical tools, including multivariate skewness and kurtosis, Euler-Poincare characteristics, the three-point temperature correlation function, and Hotelling's T2 statistic defined through bispectral estimates of a 1D data set. The effect of noise in the data is discussed in detail and the COBE 53 GHz data set is analyzed. This analysis shows that, on the large angular scale to which COBE is sensitive, the statistics are probably Gaussian.
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