Exact extreme value statistics and the halo mass function

Harrison, Ian ORCID: https://orcid.org/0000-0002-4437-0770 and Coles, Peter ORCID: https://orcid.org/0000-0002-5535-2850 2011. Exact extreme value statistics and the halo mass function. Monthly Notices of the Royal Astronomical Society: Letters 418 (1) , L20-L24. 10.1111/j.1745-3933.2011.01134.x

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Abstract

Motivated by observations that suggest the presence of extremely massive clusters at uncomfortably high redshifts for the standard cosmological model to explain, we develop a theoretical framework for the study of the most massive haloes, e.g. the most massive cluster found in a given volume, based on extreme value statistics (EVS). We proceed from the exact distribution of the extreme values drawn from a known underlying distribution, rather than relying on asymptotic theory (which is independent of the underlying form), arguing that the former is much more likely to furnish robust statistical results. We illustrate this argument with a discussion of the use of extreme value statistics as a probe of primordial non-Gaussianity.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Physics and Astronomy
Subjects:	Q Science > QB Astronomy
Uncontrolled Keywords:	methods: analytical; methods: statistical; dark matter; large-scale structure of Universe
Publisher:	Wiley
ISSN:	1745-3925
Last Modified:	19 Oct 2022 10:10
URI:	https://orca.cardiff.ac.uk/id/eprint/23465

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