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Cosmic Statistics of Statistics: N-point Correlations

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.

preprint2000arXivOpen access
I. Szapudi
astro-ph
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Open access1 author1 topic
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