A three-dimensional extended Kolmogorov-Smirnov test as a useful tool in astronomy

Details A three-dimensional extended Kolmogorov-Smirnov test as a useful tool in astronomy A three-dimensional extended Kolmogorov-Smirnov test as a useful tool in astronomy

Dec 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...188..258g&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 188, no. 1, Dec. 1987, p. 258-264.

Statistics

Computation

11

Computational Astrophysics, Kolmogoroff-Smirnoff Test, Spatial Distribution, Algorithms, Data Processing

Scientific paper

The authors derive a three-dimensional version of the well-known Kolmogorov-Smirnov test. Such a test is of great practical interest when one wishes to investigate the spatial distribution of a set of data points, particularly for the case of small size samples. A comparison with assumed three-dimensional density laws is made possible for most of current applications. A table of critical values of the new statistic is given for usual significance levels; empirical formulate to simulate the asymptotic behaviour are given as well. The tree-dimensional extended two-sided Kolmogorov-Smirnov test is shown to be sufficiently distribution-free.

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