Bayesian Approach to Gaussianity Testing and Shape Statistics

Details Bayesian Approach to Gaussianity Testing and Shape Statistics Bayesian Approach to Gaussianity Testing and Shape Statistics

Dec 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993aas...183.7103l&link_type=abstract

American Astronomical Society, 183rd AAS Meeting, #71.03; Bulletin of the American Astronomical Society, Vol. 25, p.1398

Statistics

Scientific paper

We adopted a Bayesian approach of testing the null hypothesis that the kurtosis of the counts in cells of galaxy distribution is zero to see if the primordial density distribution is Gaussian or not. We developed shape statistics for two and three dimensional data to quantify the amount of structures in large scale galaxy distributions. The significance level of the signal is calibrated in terms of both classical statistics and Bayesian statistics. We have applied our procedures to simulation samples as well as real galaxy surveys. Our results show the statistics we have developed here are sensitive to the structures like filaments and sheets. Our primary results also indicate there are more structures in the CfA survey than in the recent H+CDM model by Klypin et al.

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