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Non-gaussian statistics of pencil beam surveys

1994/02/25 by Luca Amendola · 12 citations
Physics and Astronomy · #Astronomy and Astrophysical Research #Beam (structure) #Cluster analysis #Distribution (mathematics) #Galaxies: Formation, Evolution, Phenomena #Galaxy #Monte Carlo method #Pencil (optics) #Probability distribution #Scientific Research and Discoveries #Spectral density #astro-ph

paper · pdf · doi:10.1086/187425

published in The Astrophysical Journal 430, L9 (IOP Publishing) · 9 pages,2 figs available on request,Latex, revised version with significant changes, preprint Fermilab-Pub-94-043-A

arxiv created 1994/02/25 · openalex publication_date 1994/07/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the effect of the non-Gaussian clustering of galaxies on the statistics of pencil beam surveys. We derive the probability distribution from the power spectrum peaks by means of Edgeworth expansion and find that the higher order moments of the galaxy distribution play a dominant role. The probability of obtaining the 128 h-1^ Mpc periodicity found in pencil beam surveys is raised by more than one order of magnitude, up to 1%. Further data are needed to decide if non-Gaussian distribution alone is sufficient to explain the 128 h-1^ Mpc periodicity, or if extra large-scale power is necessary.

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