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Title:
Bayesian approaches to testing the nature of primordial density fluctuation
Authors:
Luo, Shan; Vishniac, Ethan
Affiliation:
AA(University of Texas, Austin, TX, US), AB(University of Texas, Austin, TX, US)
Publication:
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 443, no. 2, p. 469-478 (ApJ Homepage)
Publication Date:
04/1995
Category:
Astrophysics
Origin:
STI
NASA/STI Keywords:
Bayes Theorem, Density Distribution, Distribution (Property), Galactic Clusters, Skewness, Universe, Hypotheses, Normal Density Functions, Poisson Density Functions, Probability Theory
DOI:
10.1086/175541
Bibliographic Code:
1995ApJ...443..469L

Abstract

We formulate two Bayesian gaussianity tests, one based on the posterior distribution of skewness, and the other based on the probability theory of multiple hypothesis tests, for testing the nature of the primordial density fluctuations. Tests of skewness estimation on Poisson samples show that due to the large statistical fluctuations in the estimation of the skewness, most of the samples of the galaxy distribution currently available are not large enough for obtaining a reasonably accurate estimate of the skewness of the galaxy distribution on large scales. These methods are applied to the one-dimensional pencil beam survey by Broadhurst et al. Non-Gaussian features on scales of up to 100/h Mpc are revealed in this sample.

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