Effects of sampling on measuring galaxy count probabilities

I. Szapudi, Alexander S. Szalay

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We investigate in detail the effects of sampling on our ability to accurately reconstruct the distribution of galaxies from galaxy surveys. We use a simple probability theory approach, Bayesian classifier theory and Bayesian transition probabilities. We find the best Bayesian estimator for the case of low sampling rates and show that even in the optimal case certain higher order characteristics of the distribution are irretrievably washed out by sparse sampling: we illustrate this by a simple model for cluster selection. We show that, even choosing an optimal threshold, there are nonzero numbers for both misidentified clusters and true clusters that are missed. The introduction of sampling has an effect on the distribution function that is similar to convolution. Deconvolution is possible and given in the paper, although it might become unstable as sampling rates become low. These findings have important consequences on planning and strategies of future galaxy surveys.

Original languageEnglish
Pages (from-to)504-508
Number of pages5
JournalAstrophysical Journal
Volume459
Issue number2 PART I
Publication statusPublished - 1996

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sampling
galaxies
deconvolution
classifiers
convolution integrals
estimators
transition probabilities
planning
distribution functions
effect
measuring
thresholds
distribution
rate

Keywords

  • Galaxies: statistics
  • Methods: statistical

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Space and Planetary Science

Cite this

Effects of sampling on measuring galaxy count probabilities. / Szapudi, I.; Szalay, Alexander S.

In: Astrophysical Journal, Vol. 459, No. 2 PART I, 1996, p. 504-508.

Research output: Contribution to journalArticle

Szapudi, I & Szalay, AS 1996, 'Effects of sampling on measuring galaxy count probabilities', Astrophysical Journal, vol. 459, no. 2 PART I, pp. 504-508.
Szapudi, I. ; Szalay, Alexander S. / Effects of sampling on measuring galaxy count probabilities. In: Astrophysical Journal. 1996 ; Vol. 459, No. 2 PART I. pp. 504-508.
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