Mathematics – Probability
Scientific paper
Mar 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987mnras.225..155f&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 225, March 1, 1987, p. 155-170. Research supported by t
Mathematics
Probability
192
Astronomical Models, Galactic Evolution, Galactic Nuclei, Kolmogoroff-Smirnoff Test, Random Sampling, X Ray Spectra, Active Galactic Nuclei, Data Correlation, Monte Carlo Method, Probability Density Functions, Run Time (Computers)
Scientific paper
The authors discuss a generalization of the classical Kolmogorov-Smirnov test, which is suitable to analyse random samples defined in two or three dimensions. This test provides some improvements with respect to an earlier version proposed by Peacock. Supported by a large number of Monte Carlo simulations, the authors are ensured that this test is sufficiently distribution-free for any practical purposes. They also give a simple analytic expression to make easier the calculation of the critical values of the test probability distribution. To illustrate how the test works, the authors use it to analyse models of the cosmological evolution of X-ray selected active galactic nuclei and they show that it is a much more sensitive goodness-of-fit test than the χ2.
Fasano Giancarmine
Franceschini Alberto
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