The estimation of galaxy angular correlation functions

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Abstract
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 7H–1 Mpc is found in two galaxy samples confirming the results from the Lick counts obtained by Groth & Peebles. Some evidence for weak anti-clustering at large scales is found.

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