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A Short Research Note on Calculating Exact Distribution Functions and Random Sampling for the 3D NFW Profile - MaRDI portal

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A Short Research Note on Calculating Exact Distribution Functions and Random Sampling for the 3D NFW Profile

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Publication:150215

DOI10.48550/ARXIV.1805.09550arXiv1805.09550MaRDI QIDQ150215

Author name not available (Why is that?)

Publication date: 24 May 2018

Abstract: In this short note we publish the analytic quantile function for the Navarro, Frenk & White (NFW) profile. All known published and coded methods for sampling from the 3D NFW PDF use either accept-reject, or numeric interpolation (sometimes via a lookup table) for projecting random Uniform samples through the quantile distribution function to produce samples of the radius. This is a common requirement in N-body initial condition (IC), halo occupation distribution (HOD), and semi-analytic modelling (SAM) work for correctly assigning particles or galaxies to positions given an assumed concentration for the NFW profile. Using this analytic description allows for much faster and cleaner code to solve a common numeric problem in modern astronomy. We release R and Python versions of simple code that achieves this sampling, which we note is trivial to reproduce in any modern programming language.












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