A threedimensional extended KolmogorovSmirnov test as a useful tool in astronomy
Abstract
The authors derive a threedimensional version of the wellknown KolmogorovSmirnov 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 threedimensional 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 treedimensional extended twosided KolmogorovSmirnov test is shown to be sufficiently distributionfree.
 Publication:

Astronomy and Astrophysics
 Pub Date:
 December 1987
 Bibcode:
 1987A&A...188..258G
 Keywords:

 Computational Astrophysics;
 KolmogoroffSmirnoff Test;
 Spatial Distribution;
 Algorithms;
 Data Processing;
 Astrophysics