Testing gaussianity, homogeneity and isotropy with the cosmic microwave background

@article{Abramo2010TestingGH,
  title={Testing gaussianity, homogeneity and isotropy with the cosmic microwave background},
  author={L. Raul Abramo and Thiago S Pereira},
  journal={Advances in Astronomy},
  year={2010},
  volume={2010},
  pages={378203}
}
We review the basic hypotheses which motivate the statistical framework used to analyze the cosmic microwave background, and how that framework can be enlarged as we relax those hypotheses. In particular, we try to separate as much as possible the questions of gaussianity, homogeneity, and isotropy from each other. We focus both on isotropic estimators of nongaussianity as well as statistically anisotropic estimators of gaussianity, giving particular emphasis on their signatures and the… 

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