Cosmic Statistics of Statistics

Details Cosmic Statistics of Statistics Cosmic Statistics of Statistics

1999-12-14

arxiv.org/abs/astro-ph/9912289v1

Astronomy and Astrophysics

Astrophysics

18 pages, 9 figures, Latex (MN format), published in MNRAS 310, 428 with slight corrections

Scientific paper

10.1046/j.1365-8711.1999.02952.x

The errors on statistics measured in finite galaxy catalogs are exhaustively investigated. The theory of errors on factorial moments by Szapudi & Colombi (1996) is applied to cumulants via a series expansion method. All results are subsequently extended to the weakly non-linear regime. Together with previous investigations this yields an analytic theory of the errors for moments and connected moments of counts in cells from highly nonlinear to weakly nonlinear scales. The final analytic formulae representing the full theory are explicit but somewhat complicated. Therefore as a companion to this paper we supply a FORTRAN program capable of calculating the described quantities numerically (abridged).

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