The three-point correlation function: moment method vs. direct counting.

Details The three-point correlation function: moment method vs. direct counting. The three-point correlation function: moment method vs. direct counting.

Jan 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26a...293....5p&link_type=abstract

Astronomy and Astrophysics 293, 5-12 (1995)

Astronomy and Astrophysics

Astrophysics

Methods: Analytical, Methods: Statistical, Galaxies: Clustering, Large Scale Structure Of Universe

Scientific paper

For the study of clustering in small samples through correlation functions, the moment method is an efficient tool. In this paper we compare the direct counting with the moment method in the calculation of the spatial 3-point correlation function. The comparison is performed on a well known model of hierarchical clustering, the Soneira-Peebles model. The results given by both methods agree and the errors are of the same order. In the Appendix we supply some analytical expressions as well which are necessary in order to apply the moment method to the calculation of the 3-point correlation function.

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