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A Note on the Nearest Neighbour Analysis

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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.

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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

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