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Bayesian Analysis of the Power Spectrum of the Cosmic Microwave BackgroundThere is a wealth of cosmological information encoded in the spatial power spectrum of temperature anisotropies of the cosmic microwave background. The sky, when viewed in the microwave, is very uniform, with a nearly perfect blackbody spectrum at 2.7 degrees. Very small amplitude brightness fluctuations (to one part in a million!!) trace small density perturbations in the early universe (roughly 300,000 years after the Big Bang), which later grow through gravitational instability to the large-scale structure seen in redshift surveys... In this talk, I will discuss a Bayesian formulation of this problem; discuss a Gibbs sampling approach to numerically sampling from the Bayesian posterior, and the application of this approach to the first-year data from the Wilkinson Microwave Anisotropy Probe. I will also comment on recent algorithmic developments for this approach to be tractable for the even more massive data set to be returned from the Planck satellite.
Document ID
Document Type
Conference Paper
External Source(s)
Jewell, Jeffrey B. (Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
Eriksen, H. K. (Oslo Univ. Norway)
O'Dwyer, I. J. (Illinois Univ. Urbana-Champaign, IL, United States)
Wandelt, B. D. (Illinois Univ. Champaign, IL, United States)
Date Acquired
August 24, 2013
Publication Date
April 21, 2005
Subject Category
Meeting Information
Society for Industrial and Applied Mathematics (SIAM) International Conference on Data Mining(Newport Beach, CA)
Distribution Limits
Bayesian inference
Gibbs sampling
methods statistical
power spectrum