Variability analysis in low count rate sources

Details Variability analysis in low count rate sources Variability analysis in low count rate sources

Apr 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...315..340c&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 315, April 1, 1987, p. 340-348. Research supported by the Ministero della P

Statistics

29

Extraterrestrial Radiation, Monte Carlo Method, Radiation Sources, Statistical Tests, Variability, Data Correlation, Kolmogoroff-Smirnoff Test, Optimization, Power Spectra, Radiation Counters

Scientific paper

A method, based on the chi-square statistics, is described for detecting pulselike time variability in low count rate sources observed with photon-counting instruments. This method can be used even in the presence of observational gaps, takes full advantage of the filtering effect due to binning with different bin sizes, and takes into account the arbitrariness introduced by the binning phase. The procedure developed to limit the dependence of the results on the binning phase and ensure statistically correct results is described along with the application of the proposed procedure to a model of a variable source. Monte Carlo simulations are used to show how the method can be used to derive the characteristic variability time scales and that the method is more sensitive than the nonparametric Kolmogorov-Smirnov test in detecting variability to a given confidence level.

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