Cosmic Statistics of Statistics: N-point Correlations

Details Cosmic Statistics of Statistics: N-point Correlations Cosmic Statistics of Statistics: N-point Correlations

2000-08-15

arxiv.org/abs/astro-ph/0008224v1

Astronomy and Astrophysics

Astrophysics

8 pages, no figures. To appear in the proceedings of the 15th Florida Workshop in Nonlinear Astronomy and Physics, ``The Onset

Scientific paper

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 {\em 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 a general calculation of their variance has not been performed until now.

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