K. M. Huffenberger, M. Galeazzi, E. Ursino
We develop an estimator for the angular correlation function which, in the ensemble average, returns the shape of the correlation function, even for signals that have significant correlations on the scale of the survey region. We develop versions of the estimator for both diffuse and discrete signals, and apply them to Monte Carlo simulations of the diffuse X-ray background that include spatially inhomogeneous detector background events. The estimator is applied to data from the Chandra X-ray observatory in a companion paper, Galeazzi et al. 2012. We discuss applying the estimator to the averaging of correlation functions evaluated on several small fields, and to other cosmological applications.
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http://arxiv.org/abs/1205.5791
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