A statistical method for testing assumed distributions of sources

Details A statistical method for testing assumed distributions of sources A statistical method for testing assumed distributions of sources

Oct 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998a%26as..132..301q&link_type=abstract

Astronomy and Astrophysics Supplement, v.132, p.301-304

Astronomy and Astrophysics

Astrophysics

Galaxies: Luminosity Function, Mass Function, Galaxies: Statistic, Methods: Statistical

Scientific paper

For a known distribution of sources, the variance of the distribution function of samples can be obtained by applying mathematical statistics. A statistical method, called the 1sigma distribution function deviation test, is defined and introduced to test this kind of distributions. We find that, when random variables vary continuously, a sample passing the test also passes any other statistical test which depends on the deviation of a statistic from its expected value at the 1sigma confidence level. In particular, the sample passes the Kolmogorov-Smirnov test at the same confidence level. This new method is suitable for testing the distribution of gamma-ray bursts as well as the luminosity function of quasars. An example of application of the new test is also presented in this paper.

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