%0 Journal Article
%T Angular Spectra for non-Gaussian Isotropic Fields
%A Gyorgy Terdik
%J Statistics
%D 2013
%I arXiv
%X Cosmic Microwave Background (CMB) Anisotropies is a subject of intensive research in several fields of sciences. In this paper we start a systematic development of basic notions and theory in statistics according to the application for CMB. The main result of this paper is the necessary and sufficient condition for isotropy of a non-Gaussian field in terms of spectra. Clear formulae for bi-, tri- and polyspectra and bi-, tri-, and higher order covariances are also given. Keywords: Bispectrum, Trispectrum, Angular poly-Spectra, Cosmic microwave background radiation; Gaussianity; spherical random fields
%U http://arxiv.org/abs/1302.4049v2