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Internal errors: a valid alternative for clustering estimates?

Published online by Cambridge University Press:  01 July 2015

Pablo Arnalte-Mur
Affiliation:
Institute for Computational Cosmology, Durham University South Road, Durham DH1 3LE, United Kingdom email: [email protected]
Peder Norberg
Affiliation:
Institute for Computational Cosmology, Durham University South Road, Durham DH1 3LE, United Kingdom email: [email protected]
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Abstract

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We investigate the validity of internal methods to estimate the uncertainty of the galaxy two-point correlation function. We consider the jackknife and bootstrap methods, which are based on re-sampling sub-regions of the original data. These are cheap computationally, and do not depend on the accuracy of external simulations. We test the different methods over a large range of scales using a set of 160 mock catalogues from the LasDamas set of simulations. Our results show that the standard bootstrap method significantly overestimates the true uncertainty at all scales. We try two possible generalisations of the bootstrap, but find them not to be robust. Regarding jackknife, we obtain that this method provides an unbiased estimation of the error at small and intermediate scales, up to ∼ 40 h−1, Mpc. At larger scales, it typically overestimates the error by a ∼13%.

Type
Contributed Papers
Copyright
Copyright © International Astronomical Union 2015 

References

Dodelson, S. & Schneider, M. D. 2013, Phys. Rev. D, 88, 063537Google Scholar
Efron, B. & Tibshirani, R. J. 1993, An Introduction to the Bootstrap. Chapman & Hall/CRC, Boca RatonGoogle Scholar
Guo, H., et al. 2013, ApJ, 767, 122CrossRefGoogle Scholar
Landy, S. D. & Szalay, A. S. 1993, ApJ, 412, 64Google Scholar
Norberg, P., Baugh, C. M., Gaztañaga, E., & Croton, D. J. 2009, MNRAS, 396, 19Google Scholar
Taylor, A., Joachimi, B., & Kitching, T. 2013, MNRAS, 432, 1928CrossRefGoogle Scholar