Cosmic statistics of statistics: N-point correlations

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Abstract

The fully general calculation of the cosmic error on N-point correlation functions and related quantities is presented. More precisely, the variance caused by the finite volume, discreteness, and edge effects is determined for any estimator which is based on a general function of N-tuples, such as multi-point correlation functions and multi-spectra. The results are printed explicitly for the two-point correlation function (or power-spectrum), and for the three-point correlation (or bispectrum). These are the most popular statistics in the study of large-scale structure, yet the general calculation of their variance has not been performed until now.

Original languageEnglish
Pages (from-to)94-101
Number of pages8
JournalAnnals of the New York Academy of Sciences
Volume927
Publication statusPublished - Jan 1 2001

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Keywords

  • Large-scale structure of the Universe
  • Methods: numerical

ASJC Scopus subject areas

  • Neuroscience(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • History and Philosophy of Science

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