Higher Order Statistics from the EDSGC Survey I: Counts in Cells

Abstract

Counts in cells are used to analyse the higher order properties of the statistics of the EDSGC survey. The probability distribution is obtained from an equal area projection source catalog with infinite oversampling over the range $0.015^\circ-2^\circ$. The factorial moments of the resulting distribution and the $s_N$'s characterizing the non-Gaussian nature of the distribution are extracted. These results are compared to previous results from the APM survey, and to theoretical results from perturbation theory. The deprojected 3D values corresponding to the $s_N$'s are also determined. We find that the 3D values match the scaling relation for strongly nonlinear clustering found in N-body simulations remarkably well, suggesting that the galaxies are reliable tracers of the underlying mass distribution.