The Application of Sampling Techniques to the Constraint of Cosmological Parameters

Details The Application of Sampling Techniques to the Constraint of Cosmological Parameters The Application of Sampling Techniques to the Constraint of Cosmological Parameters

May 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aas...210.0702c&link_type=abstract

American Astronomical Society Meeting 210, #07.02; Bulletin of the American Astronomical Society, Vol. 39, p.102

Mathematics

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Scientific paper

We apply several well-known statistical sampling techniques to the constraints of cosmological parameters using the cosmic microwave background data. We examine and compare performance for random-walk Metropolis-Hasting, single-component update Metropolis-Hasting, Independence Metropolis-Hasting, Rejection Sampling and Importance Sampling. We also compare, in applicable cases, the use of mutlitvariate-t versus multivariate for the proposal function. We give recommendations for the effective use of each method and provide a guideline in using the appropriate post-processing diagnostics to handle the sampling
output.

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