The estimation of galaxy angular correlation functions

Astronomy and Astrophysics – Astronomy

Scientific paper

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Correlation, Galactic Clusters, Angular Correlation, Covariance, Cross Correlation, Estimators

Scientific paper

Analysis of galaxy samples shows that significant bias in the estimation of galaxy correlation functions can occur, depending on the type of estimator and edge correction applied to the sample. A general technique for calculating estimates of correlation functions that is free from systematic errors is described. The technique is applicable to correlation estimates for many types of astronomical data and is strongly recommended for future use. A sharp break in the power-law form of the covariance function at scales of 7/H Mpc is found in two galaxy samples, confirming the results from the Lick counts obtained by Groth and Peebles (1977). Some evidence for weak anticlustering at large scales is found.

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