Astronomy and Astrophysics – Astrophysics
Scientific paper
1997-02-17
Astronomy and Astrophysics
Astrophysics
31 pages, ApJ, in press, volume 493. Matches published version; more complete discussion of errors
Scientific paper
To probe the weakly non-linear regime, past the point where simple linear theory is sufficient to describe the statistics of the density distribution, we measure the skewness (S_3) and kurtosis (S_4) of the Count Probability Distribution Function (CPDF) of the IRAS 1.2 Jy sample obtained from counts in cells. These quantities are free parameters in a maximum likelihood fit of an Edgeworth expansion convolved with a Poissonian to the observed CPDF. This method, applicable on scales greater than 5 Mpc, is appreciably less sensitive to the tail of the distribution than are measurements of S_3 and S_4 from moments of the CPDF. We measure S_3 and S_4 to l~50 h^{-1} Mpc; the data are consistent with scale invariance, yielding averages of
Kim Rita Seungjung
Strauss Michael A.
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