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Advanced Statistical Methods for Large-Scale Structure Studies

Astrophysics 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.astro-ph/9510035,
  title  = {Advanced Statistical Methods for Large-Scale Structure Studies},
  author = {Stefano Borgani},
  journal= {arXiv preprint arXiv:astro-ph/9510035},
  year   = {2007}
}

Comments

26 pages, uuencoded compressed postscript file including text and 4 figures. Proc. ``International School of Physics Enrico Fermi'', Course CXXXII: Dark Matter in the Universe, Varenna 1995, eds.: S. Bonometto, J. Primack, A. Provenzale, IOP, to appear