منابع مشابه
The Best Unbiased Estimator for the Cmb Angular Bispectrum
While the statistical properties of the CMB anisotropies are a powerful means to discriminate amongst the possible cosmological scenarios, actually measuring non-Gaussianity in the data is a very difficult task1. The typically small signal should be compared to the noise and the key quantity is the signal to noise ratio. The noise creeps into the dataset through instrumental errors, foregrounds...
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COBE has provided us with a whole-sky map of the CBR anisotropies. However, even if the noise level is negligible when the four year COBE data are available, the cosmic variance will prevent us from obtaining information about the Gaussian nature of the primordial fluctuations. This important issue is addressed here by studying the angular bispectrum of the cosmic microwave background anisotrop...
متن کاملHigh Resolution Asymptotics for the Angular Bispectrum of Spherical Random Fields
In this paper, we study the asymptotic behaviour of the angular bispectrum of spherical random fields. Here, the asymptotic theory is developed in the framework of fixed-radius fields, which are observed with increasing resolution as the sample size grows. The results we present are then exploited in a set of procedures aimed at testing non-Gaussianity; for these statistics, we are able to show...
متن کاملA Central Limit Theorem and Higher Order Results for the Angular Bispectrum
The angular bispectrum of spherical random fields has recently gained an enormous importance, especially in connection with statistical inference on cosmological data. In this paper, we provide expressions for its moments of arbitrary order and we use these results to establish a multivariate central limit theorem and higher order approximations. The results rely upon combinatorial methods from...
متن کاملSachs-Wolfe at second order: the CMB bispectrum on large angular scales
We calculate the Cosmic Microwave Background anisotropy bispectrum on large angular scales in the absence of primordial non-Gaussianities, assuming exact matter dominance and extending at second order the classic Sachs-Wolfe result δT/T = Φ/3. The calculation is done in Poisson gauge. Besides intrinsic contributions calculated at last scattering, one must consider integrated effects. These are ...
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ژورنال
عنوان ژورنال: Journal of Cosmology and Astroparticle Physics
سال: 2020
ISSN: 1475-7516
DOI: 10.1088/1475-7516/2020/06/035