Abstract
In the nearest neighbour method of the random distribution of N objectson a sphere surface the variable (N-1) sin2(α/2) isproposed to be used instead of the angular distance α. Thenboth the expected mean and variance equal to one for large N, and both theStudent's test and F-test are especially simple. An illustrative applicationshows that the superclusters – collected in the All-Sky Catalogues ofSuperclusters of Abell-ACO Clusters – need not be distributedrandomly.
Similar content being viewed by others
References
Huchra, J.P., et al.: 1990, Astrophys. J. 365, 66.
Merrington, M. and Thompson, C.M.: 1943, Biometrika 33, 76.
Peebles, P.J.E.: 1993, Principles of Physical Cosmology, Princeton University Press, Princeton.
Postman, M., Huchra, J.P. and Geller, M.J.: 1992, Astrophys. J. 384, 404.
Press, W.H., et al.: 1992, Numerical Recipes in Fortran, Cambridge University Press, Cambridge.
Quashnock, J.M. and Lamb, D.Q.: 1993, Mon. Not. R. Astron. Soc. 265, L59.
Scott, D. and Tout, C.A.: 1989, Mon. Not. R. Astron. Soc. 241, 109.
Trumpler, R.J. and Weaver, H.F.: 1953, Statistical Astronomy, University of California Press, Berkeley.
Zucca, E., et al.: 1993, Astrophys. J. 407, 470.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Šlechta, M., Mészáros, A. A Note on the Nearest Neighbour Analysis. Astrophysics and Space Science 249, 1–5 (1997). https://doi.org/10.1023/A:1000181217004
Issue Date:
DOI: https://doi.org/10.1023/A:1000181217004