Advanced Statistical Methods for Large-Scale Structure Studies

Details Advanced Statistical Methods for Large-Scale Structure Studies Advanced Statistical Methods for Large-Scale Structure Studies

1995-10-06

arxiv.org/abs/astro-ph/9510035v1

Astronomy and Astrophysics

Astrophysics

26 pages, uuencoded compressed postscript file including text and 4 figures. Proc. ``International School of Physics Enrico Fe

Scientific paper

These Lecture Notes are devoted to an introductory description of some of the most widely applied statistical methods for the analysis of the Large-Scale Structure (LSS) of the Universe. Rather than providing technical details about the implementation of such methods, I concentrate more on their significance and on the statistical information they provide in the comparison between data and LSS formation models. I introduce the concept of correlation functions and their connection with the count-in-cell statistics of a point distribution. Also some geometrical descriptions of the LSS, like the void probability function and the topological genus characteristics, are briefly reviewed.

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