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Accepted for publication in The Astrophysical Journal Comparing estimators of the galaxy correlation function María–Jesús Pons–Bordería 1 (1999)
BibTeX
@MISC{Martínez99acceptedfor,
author = {Vicent J. Martínez and Dietrich Stoyan and Helga Stoyan},
title = {Accepted for publication in The Astrophysical Journal Comparing estimators of the galaxy correlation function María–Jesús Pons–Bordería 1},
year = {1999}
}
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Abstract
We present a systematic comparison of some usual estimators of the 2–point correlation function, some of them currently used in Cosmology, others extensively employed in the field of the statistical analysis of point processes. At small scales, it is known that the correlation function follows reasonably well a power–law expression ξ(r) ∝ r −γ. The accurate determination of the exponent γ (the order of the pole) depends on the estimator used for ξ(r); on the other hand, its behavior at large scale gives information on a possible trend to homogeneity. We study the concept, the possible bias, the dependence on random samples and the errors of each estimator. Errors are computed by means of artificial catalogues of Cox processes for which the analytical expression of the correlation function is known. We also introduce a new method for extracting simulated galaxy samples from cosmological simulations.
Keyphrases
astrophysical journal comparing estimator jes pons border galaxy correlation function mar correlation function small scale power law expression analytical expression possible trend new method point process accurate determination random sample point correlation function statistical analysis cox process simulated galaxy sample cosmological simulation possible bias systematic comparison artificial catalogue usual estimator
