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- W2092126286 abstract "What is the size of the most massive object one expects to find in a survey of a given volume? In this paper, we present a solution to this problem using extreme-value statistics, taking into account primordial non-Gaussianity and its effects on the abundance and the clustering of rare objects. We calculate the probability density function (PDF) of extreme-mass clusters in a survey volume, and show how primordial non-Gaussianity shifts the peak of this PDF. We also study the sensitivity of the extreme-value PDFs to changes in the mass functions, survey volume, redshift coverage, and the normalization of the matter power spectrum, ${ensuremath{sigma}}_{8}$. For ``local'' non-Gaussianity parametrized by ${f}_{mathrm{NL}}$, our correction for the extreme-value PDF due to the bias is important when ${f}_{mathrm{NL}}ensuremath{gtrsim}100$, and becomes more significant for wider and deeper surveys. Applying our formalism to the massive high-redshift cluster XMMUJ0044.0-2-33, we find that its existence is consistent with ${f}_{mathrm{NL}}=0$, although the conclusion is sensitive to the assumed values of the survey area and ${ensuremath{sigma}}_{8}$. We also discuss the convergence of the extreme-value distribution to one of the three possible asymptotic forms, and argue that the convergence is insensitive to the presence of non-Gaussianity." @default.
- W2092126286 created "2016-06-24" @default.
- W2092126286 creator A5005380504 @default.
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- W2092126286 date "2012-03-09" @default.
- W2092126286 modified "2023-09-23" @default.
- W2092126286 title "Primordial non-Gaussianity and extreme-value statistics of galaxy clusters" @default.
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- W2092126286 doi "https://doi.org/10.1103/physrevd.85.063508" @default.
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