Two-point correlation function in pancake models and the fair sample hypothesis

Details Two-point correlation function in pancake models and the fair sample hypothesis Two-point correlation function in pancake models and the fair sample hypothesis

Jul 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...411..485b&link_type=abstract

Astrophysical Journal - Part 1 (ISSN 0004-637X), vol. 411, no. 2, p. 485-500.

Statistics

Computation

16

Astrometry, Astronomical Models, Galactic Evolution, Power Spectra, Red Shift, Computational Astrophysics, Correlation, Hypotheses, Sky Surveys (Astronomy)

Scientific paper

An analysis is conducted of large 2D slices generated by a pancake model for galaxy formation, from which point samples are extracted by a dynamical biasing method. The initial conditions invoke power spectra associated with hot dark matter conditions. Attention is given to the dependence of the two-point correlation function (CF) on the biasing method used, as well as to a comparison of the CF of the whole sample with that of the subsamples extracted from the whole at different scales. The luminous fraction of the overdensity in subsamples and the CF slope and amplitude reveal large sampling errors on scales typical of current all-sky surveys. A method with which the 'fair-sample hypothesis' is rejected is presented.

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