A Bayesian Approach for Detection of Isotropy Violation of a Random Field Over a Sphere. Issue 1 (May 2017)

• Record Type: Journal Article
• Authors: Souradeep, Tarun; Das, Santanu; Wandelt, Benjamin D.
• Is Part Of: Calcutta Statistical Association bulletin. Volume 69:Issue 1(2017:May)
• Page Start: 64
• Page End: 70
• Publication Date: 2017-05
• Subjects: Random field -- Anisotropy -- Bayesian formulation -- AMS 2000 subject classification: Primary 60G60 -- Secondary 74E10 -- 62C10; Mathematical statistics -- Periodicals; Statistics -- Methodology -- Periodicals; Statistics -- Periodicals; 519.5
• DOI: 10.1177/0008068317695908
• Languages: English
• ISSNs: 0008-0683

Abstract

We present a general method for estimating the isotropy violation of random fields on a sphere using a Bayesian formalism. We use Bipolar Spherical Harmonic (BipoSH) representation of general covariance structure on the sphere. Our approach promises to provide a robust quantitative evaluation of the evidence for SI violation-related anomalies in the CMB sky by estimating the BipoSH spectra along with their complete posterior.