Effects of Smoothing Functions in Cosmological Counts-in-Cells Analysis | Zendy

Yoshitaka Murata | Zendy; Takahiko Matsubara | Zendy

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Effects of Smoothing Functions in Cosmological Counts-in-Cells Analysis

Author(s) -

Yoshitaka Murata,

Takahiko Matsubara

Publication year - 2007

Publication title -

publications of the astronomical society of japan

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.99

H-Index - 110

eISSN - 2053-051X

pISSN - 0004-6264

DOI - 10.1093/pasj/59.1.73

Subject(s) - smoothing , physics , galaxy , series (stratigraphy) , gaussian , covariance , sky , gaussian blur , kernel (algebra) , kernel smoother , covariance matrix , statistical physics , function (biology) , gaussian function , astrophysics , mathematics , statistics , kernel method , combinatorics , computer science , artificial intelligence , quantum mechanics , paleontology , evolutionary biology , radial basis function kernel , support vector machine , image (mathematics) , image restoration , biology , image processing

A method of counts-in-cells analysis of galaxy distribution is investigatedwith arbitrary smoothing functions in obtaining the galaxy counts. We explorethe possiblity of optimizing the smoothing function, considering a series of$m$-weight Epanechnikov kernels. The popular top-hat and Gaussian smoothingfunctions are two special cases in this series. In this paper, we mainlyconsider the second moments of counts-in-cells as a first step. We analyticallyderive the covariance matrix among different smoothing scales of cells, takinginto account possible overlaps between cells. We find that the Epanechnikovkernel of $m=1$ is better than top-hat and Gaussian smoothing functions inestimating cosmological parameters. As an example, we estimate expectedparameter bounds which comes only from the analysis of second moments of galaxydistributions in a survey which is similar to the Sloan Digital Sky Survey.Comment: 33 pages, 10 figures, accepted for publication in PASJ (Vol.59, No.1 in press

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