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There is a third type of J function used in spatial statistics. It was originally introduced in this article:
Van Lieshout, M.N.M and Baddeley A.J. (1996) "A nonparametric measure of spatial interaction in point patterns", Statistica Neerlandica Vol 50 Issue 3 pp. 344--361. — Preceding unsigned comment added by 130.95.16.17 (talk) 06:58, 14 January 2013 (UTC)