The 2pt+: an enhanced 2 point correlation function
Cosmology and Nongalactic Astrophysics
2009-07-22 v1 High Energy Astrophysical Phenomena
Abstract
We introduce a new method for testing departure from isotropy of points on a sphere based on an enhanced form of the two-point correlation function that we named 2pt+. This method uses information from the two extra variables that define the vector between two points on a sphere. We show that this is a powerful method to test departure from isotropy of a distribution of points on a sphere especially when the number of events is small. We apply the method to a few examples in astronomy and discuss the relevance for limited datasets, such as the case of ultra-high energy cosmic rays.
Keywords
Cite
@article{arxiv.0905.2192,
title = {The 2pt+: an enhanced 2 point correlation function},
author = {M. Ave and L. Cazon and J. Cronin and J. R. T. de Mello Neto and A. V. Olinto and V. Pavlidou and P. Privitera and B. B. Siffert and F. Schmidt and T. Venters},
journal= {arXiv preprint arXiv:0905.2192},
year = {2009}
}
Comments
17 pages, 14 figures