2006
DOI: 10.1111/j.1365-2966.2005.09911.x
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Smoothing supernova data to reconstruct the expansion history of the Universe and its age

Abstract: We propose a non-parametric method of smoothing supernova data over redshift using a Gaussian kernel in order to reconstruct important cosmological quantities including H(z) and w(z) in a model independent manner. This method is shown to be successful in discriminating between different models of dark energy when the quality of data is commensurate with that expected from the future SuperNova Acceleration Probe (SNAP). We find that the Hubble parameter is especially well-determined and useful for this purpose.… Show more

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Cited by 187 publications
(234 citation statements)
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“…The ansatz (8) is useful not only for reconstructing the DE density but also for determining an important related quantity -the w-probe [22]. As its name suggests, the w-probe provides us with important insights about the equation of state.…”
Section: Resultsmentioning
confidence: 99%
“…The ansatz (8) is useful not only for reconstructing the DE density but also for determining an important related quantity -the w-probe [22]. As its name suggests, the w-probe provides us with important insights about the equation of state.…”
Section: Resultsmentioning
confidence: 99%
“…Comparing with those two binning methods listed above, the advantage of this binning method is that it can achieve much smaller χ 2 min 18 . Besides the piecewise constant parametrization, some other local basis representations for w(z) or ρ de (z) are also proposed, such as wavelet [760] and numerical derivatives [566,761]. 18 A simple comparison of these three binning methods can be seen in [759].…”
Section: Binned Parametrizationmentioning
confidence: 99%
“…Not only other parameterizations of dark energy's equation of state have been considered [12], but also parameterizations of the dark energy density alone [9], or of the Hubble parameter [13]. Finally non-parametric tests have been studied [14,15], see e.g. [15] for a general discussion.…”
Section: Introductionmentioning
confidence: 99%
“…Finally non-parametric tests have been studied [14,15], see e.g. [15] for a general discussion. Since CPL is widely implemented in both observational and theoretical studies, it is essential to test its robustness in reconstructing the dynamics of physically motivated dark energy models.…”
Section: Introductionmentioning
confidence: 99%