4 research outputs found
Cosmic Statistics of Statistics
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).Comment: 18 pages, 9 figures, Latex (MN format), published in MNRAS 310, 428
with slight correction