The Value of H sub(0) from Gaussian Processes

A new non-parametric method based on Gaussian Processes (GP) was proposed recently to measure the Hubble constant H sub(0). The freedom in this approach comes in the chosen covariance function, which determines how smooth the process is and how nearby points are correlated. We perform coverage tests...

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Bibliographic Details
Published in:Proceedings of the International Astronomical Union 2014-05, Vol.10 (S306), p.25-27
Main Authors: Busti, Vinicius C, Clarkson, Chris, Seikel, Marina, Heavens, A F, Starck, J-L, Krone-Martins, A
Format: Article
Language:English
Subjects:
Correlation
Covariance
Error analysis
Gaussian
Hubble constant
Mathematical models
Parametric analysis
Online Access:Get full text
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Summary:A new non-parametric method based on Gaussian Processes (GP) was proposed recently to measure the Hubble constant H sub(0). The freedom in this approach comes in the chosen covariance function, which determines how smooth the process is and how nearby points are correlated. We perform coverage tests with a thousand mock samples within the Lambda CDM model in order to determine what covariance function provides the least biased results. The function Matern(5/2) is the best with sligthly higher errors than other covariance functions, although much more stable when compared to standard parametric analyses.
ISSN:1743-9213
1743-9221
DOI:10.1017/S1743921314013751