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

Murata Yoshitaka; Matsubara Takahiko

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

机译：平滑函数在细胞内宇宙计数分析中的作用

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Amethodforacounts-in-cellsanalysisofthegalaxydistributionisinvestigatedwitharbitrarysmoothingfunctionsforobtainingthegalaxycounts.Weexplorethepossiblityofoptimizingthesmoothingfunction,whileconsideringaseriesof$$m$$-weightEpanechnikovkernels.Thepopulartop-hatandGaussiansmoothingfunctionsaretwospecialcasesinthisseries.Inthispaper,wemainlyconsiderthesecondmomentsofcounts-in-cellsasafirststep.Wehaveanalyticallyderivedthecovariancematrixamongdifferentsmoothingscalesofcells,whiletakingintoaccountpossibleoverlapsbetweencells.WefindthattheEpanechnikovkernelof$$m=1$$isbetterthantop-hatandGaussiansmoothingfunctionsinestimatingcosmologicalparameters.Asanexample,weestimatedexpectedparameterboundsthatcomeonlyfromananalysisofthesecondmomentsofthegalaxydistributionsinasurveythatissimilartotheSloanDigitalSkySurvey.

机译：Amethodforacounts合cellsanalysisofthegalaxydistributionisinvestigatedwitharbitrarysmoothingfunctionsforobtainingthegalaxycounts.Weexplorethepossiblityofoptimizingthesmoothingfunction，whileconsideringaseriesof $$米$$ - weightEpanechnikovkernels.Thepopulartop-hatandGaussiansmoothingfunctionsaretwospecialcasesinthisseries.Inthispaper，wemainlyconsiderthesecondmomentsofcounts合cellsasafirststep.Wehaveanalyticallyderivedthecovariancematrixamongdifferentsmoothingscalesofcells，whiletakingintoaccountpossibleoverlapsbetweencells.WefindthattheEpanechnikovkernelof $$ M = 1 $$ isbetterthantop-hatandGaussiansmoothingfunctionsinestimatingcosmologicalparameters.Asanexample，weestimatedexpectedparameterboundsthatcomeonlyfromananalysisofthesecondmomentsofthegalaxydistributionsinasurveythatissimilartotheSloanDigitalSkySurvey。

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《PASJ: Publications of the Astronomical Society of Japan》 |2007年第1期|共页
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Murata Yoshitaka; Matsubara Takahiko;
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Effects of Smoothing Functions in Cosmological Counts-in-Cells Analysis

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