Biasing and High-Order Statistics from the Southern-Sky Redshift Survey

Details Biasing and High-Order Statistics from the Southern-Sky Redshift Survey Biasing and High-Order Statistics from the Southern-Sky Redshift Survey

Apr 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999apj...514..563b&link_type=abstract

The Astrophysical Journal, Volume 514, Issue 2, pp. 563-578.

Statistics

25

Galaxies: Distances And Redshifts, Galaxies: Statistics, Cosmology: Large-Scale Structure Of Universe, Surveys

Scientific paper

We analyze different volume-limited samples extracted from the Southern-Sky Redshift Survey (SSRS2), using counts-in-cells to compute the count probability distribution function (CPDF). From the CPDF we derive volume-averaged correlation functions to fourth order and the normalized skewness and kurtosis S_3=xi_3/xi^2_2 and S_4=xi_4xi^3_2. We find that the data satisfies the hierarchical relations in the range 0.3xi_2<~10. In this range we find S_3 to be scale independent, with a value of ~1.8, in good agreement with the values measured from other optical redshift surveys probing different volumes, but significantly smaller than that inferred from the Automatic Plate Measuring Facility (APM) angular catalog. In addition, the measured values of S_3 do not show a significant dependence on the luminosity of the galaxies considered. This result is supported by several tests of systematic errors that could affect our measures and estimates of the cosmic variance determined from mock catalogs extracted from N-body simulations. This result is in marked contrast to what would be expected from the strong dependence of the two-point correlation function on luminosity in the framework of a linear biasing model. We discuss the implications of our results and compare them to some recent models of the galaxy distribution that address the problem of bias.

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