Distribution of maximal luminosity of galaxies in the Sloan Digital Sky Survey

M. Taghizadeh-Popp, K. Ozogány, Z. Rácz, E. Regoes, A. S. Szalay

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Extreme value statistics is applied to the distribution of galaxy luminosities in the Sloan Digital Sky Survey. We analyze the DR8 Main Galaxy Sample (MGS), as well as the luminous red galaxies (LRGs). Maximal luminosities are sampled from batches consisting of elongated pencil beams in the radial direction of sight. For the MGS, results suggest a small and positive tail index ξ, effectively ruling out the possibility of having a finite maximum cutoff luminosity, and implying that the luminosity distribution function may decay as a power law at the high-luminosity end. Assuming, however, ξ = 0, a non-parametric comparison of the maximal luminosities with the Fisher-Tippett-Gumbel distribution (limit distribution for variables distributed by the Schechter fit) indicates a good agreement provided that uncertainties arising from both the finite batch size and the batch-size distribution are accounted for. For a volume-limited sample of LRGs, results show that they can be described as being the extremes of a luminosity distribution with an exponentially decaying tail, provided that the uncertainties related to batch-size distribution are taken care of.

Original languageEnglish
Article number100
JournalAstrophysical Journal
Volume759
Issue number2
DOIs
Publication statusPublished - Nov 10 2012

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luminosity
galaxies
pencil beams
visual perception
distribution
power law
cut-off
distribution functions
statistics
decay

Keywords

  • galaxies: general
  • galaxies: luminosity function, mass function
  • galaxies: statistics
  • methods: data analysis
  • methods: statistical

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Space and Planetary Science
  • Astronomy and Astrophysics

Cite this

Distribution of maximal luminosity of galaxies in the Sloan Digital Sky Survey. / Taghizadeh-Popp, M.; Ozogány, K.; Rácz, Z.; Regoes, E.; Szalay, A. S.

In: Astrophysical Journal, Vol. 759, No. 2, 100, 10.11.2012.

Research output: Contribution to journalArticle

Taghizadeh-Popp, M. ; Ozogány, K. ; Rácz, Z. ; Regoes, E. ; Szalay, A. S. / Distribution of maximal luminosity of galaxies in the Sloan Digital Sky Survey. In: Astrophysical Journal. 2012 ; Vol. 759, No. 2.
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