Sample-to-sample variations and biases in estimates of two-point correlation functions

Statistics – Computation

Scientific paper

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Angular Correlation, Computational Astrophysics, Dark Matter, Data Simulation, Galactic Clusters, Galactic Mass, Astronomical Models, Data Correlation, Galactic Structure, Red Shift

Scientific paper

A quantitative estimate of the sample-to-sample variations of two-point correlation functions was obtained by extracting subsamples from N-body simulation data, and the extent to which these subsamples reproduce the correlation functions estimated from the entire data was examined. The method used was more direct than that used in the studies of Barrow et al. (1984) and Ling et al. (1986): rather than estimating the variations of the correlation functions from pseudosamples which were created from single data sets as has been done in the previous investigations, several independent ensembles with different geometries were created in the present study. Thus, the problem was assessed more quantitatively and precisely.

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