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Hybrid Gibbs Sampling and MCMC for CMB Analysis at Small Angular ScalesA) Gibbs Sampling has now been validated as an efficient, statistically exact, and practically useful method for "low-L" (as demonstrated on WMAP temperature polarization data). B) We are extending Gibbs sampling to directly propagate uncertainties in both foreground and instrument models to total uncertainty in cosmological parameters for the entire range of angular scales relevant for Planck. C) Made possible by inclusion of foreground model parameters in Gibbs sampling and hybrid MCMC and Gibbs sampling for the low signal to noise (high-L) regime. D) Future items to be included in the Bayesian framework include: 1) Integration with Hybrid Likelihood (or posterior) code for cosmological parameters; 2) Include other uncertainties in instrumental systematics? (I.e. beam uncertainties, noise estimation, calibration errors, other).
Document ID
20100020170
Acquisition Source
Jet Propulsion Laboratory
Document Type
Preprint (Draft being sent to journal)
External Source(s)
Authors
Jewell, Jeffrey B.
(Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
Eriksen, H. K.
(Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
Wandelt, B. D.
(Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
Gorski, K. M.
(Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
Huey, G.
(Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
O'Dwyer, I. J.
(Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
Dickinson, C.
(Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
Banday, A. J.
(Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
Lawrence, C. R.
(Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
Date Acquired
August 24, 2013
Publication Date
January 28, 2008
Subject Category
Astronomy
Meeting Information
Meeting: Cosmic Microwave Radiation
Location: Aspen, CO
Country: United States
Start Date: January 27, 2008
End Date: February 2, 2008
Sponsors: Aspen Center for Physics
Distribution Limits
Public
Copyright
Other
Keywords
Gibbs sampling
statistical methods
cosmic microwave background

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