Nonlinear statistics and biasing

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Bias, Cluster Analysis, Galactic Clusters, Nonlinearity, Statistical Analysis, Galactic Evolution, Normal Density Functions, Universe

Scientific paper

Important recent advances in understanding the nature of large-scale structures, in particular the enhanced correlation amplitude of Abell clusters, have followed from studying the statistical properties of Gaussian density fluctuations. Yet, the present galaxy distribution is decidedly non-Gaussian, and it is known that at some level, the Gaussian approximation must be inadequate. This is often presumed not to occur until clustering strength surpasses unity. It is shown that for several reasons, non-Gaussian effects become important very early in the evolution of the universe and that some corrections to the Gaussian results can be large when clustering is still very weak. The 'biasing' enhancement of clustering maps directly into the non-Gaussian case as well, and some results, such as probabilities or the fraction of galaxies in clusters, are even more attractive in the non-Gaussian case.

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