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Title:
Fisher matrix decomposition for dark energy prediction
Authors:
Kitching, T. D.; Amara, A.
Affiliation:
AA(SUPA, Institute for Astronomy, University of Edinburgh, Royal Observatory Edinburgh, Blackford Hill EH9 3HJ), AB(Department of Physics, ETH Zurich, Wolfgang-Pauli-Strasse 16, CH-8093 Zurich, Switzerland)
Publication:
Monthly Notices of the Royal Astronomical Society, Volume 398, Issue 4, pp. 2134-2142. (MNRAS Homepage)
Publication Date:
10/2009
Origin:
MNRAS
MNRAS Keywords:
methods: statistical , cosmological parameters
DOI:
10.1111/j.1365-2966.2009.15263.x
Bibliographic Code:
2009MNRAS.398.2134K

Abstract

Within the context of constraining an expansion of the dark energy equation of state w(z), we show that the eigendecomposition of Fisher matrices is sensitive to both the maximum order of the expansion and the basis set choice. We investigate the Fisher matrix formalism in the case that a particular function is expanded in some basis set. As an example we show results for an all-sky weak lensing tomographic experiment. We show that the set of eigenfunctions is not unique and that the best constrained functions are only reproduced accurately at very higher order N >~ 100, a top-hat basis set requires an even higher order. We show that the common approach used for finding the marginalized eigenfunction errors is sensitive to the choice of non-w(z) parameters and priors. The eigendecomposition of Fisher matrices is a potentially useful tool that can be used to determine the predicted accuracy with which an experiment could constrain w(z). It also allows for the reconstruction of the redshift sensitivity of the experiment to changes in w(z). However, the technique is sensitive to both the order and the basis set choice. Publicly available code is available as part of ICOSMO at http://www.icosmo.org.
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