Clustering statistics in cosmology

Abstract

The main tools in cosmology for comparing theoretical models with the observations of the galaxy distribution are statistical. We will review the applications of spatial statistics to the description of the large-scale structure of the universe. Special topics discussed in this talk will be: description of the galaxy samples, selection effects and biases, correlation functions, Fourier analysis, nearest neighbor statistics, Minkowski functionals and structure statistics. Special attention will be devoted to scaling laws and the use of the lacunarity measures in the description of the cosmic texture.

15 pages, 7 figures, uses spie.cls (included). This paper will be published in SPIE Proceedings Vol. 4847, 2002, "Astronomical Data Analysis II," J.-L. Stark and F. Murtagh, eds., and is made available as an electronic preprint with permission of SPIE

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