Cosmic Statistics of Statistics: N-point Correlations
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 {\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.
Cite
@article{arxiv.astro-ph/0008224,
title = {Cosmic Statistics of Statistics: N-point Correlations},
author = {I. Szapudi},
journal= {arXiv preprint arXiv:astro-ph/0008224},
year = {2016}
}
Comments
8 pages, no figures. To appear in the proceedings of the 15th Florida Workshop in Nonlinear Astronomy and Physics, ``The Onset of Nonlinearity''