A Statistical Strategy for the Sunyaev-Zel'dovich Effect's Cluster Data

Details A Statistical Strategy for the Sunyaev-Zel'dovich Effect's Cluster Data A Statistical Strategy for the Sunyaev-Zel'dovich Effect's Cluster Data

2002-05-16

arxiv.org/abs/astro-ph/0205258v4

Astrophys.J. 578 (2002) L27-L30

Astronomy and Astrophysics

Astrophysics

final version, accepted by ApJ Letters

Scientific paper

10.1086/344471

We present a statistical strategy for the efficient determination of the cluster luminosity function from the Sunyaev-Zel'dovich (SZ) effects survey. To determine the cluster luminosity function from the noise contaminated SZ map, we first define the zeroth-order cluster luminosity function as a discrepancy between the measured peak number density of the SZ map and the mean number density of noise. Then we demonstrate that the noise contamination effects can be removed by the stabilized deconvolution of the zeroth-order cluster luminosity function with the one-dimensional Gaussian distribution. We test this analysis technique against Monte-Carlo simulations, and find that it works quite well especially in the medium amplitude range where the conventional cluster identification method based on the threshold cut-off usually fails.

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