Use of a minimum rate of change formalism to quantify variability of extragalactic X-ray sources

Details Use of a minimum rate of change formalism to quantify variability of extragalactic X-ray sources Use of a minimum rate of change formalism to quantify variability of extragalactic X-ray sources

Jul 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...318..568s&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 318, July 15, 1987, p. 568-576.

Statistics

Computation

4

Computational Astrophysics, Extraterrestrial Radiation, Periodic Variations, X Ray Sources, Bl Lacertae Objects, Black Holes (Astronomy), Lagrange Multipliers, Monte Carlo Method, Time Functions

Scientific paper

A method to obtain rigorous, quantitative constraints on the rate of variability is suggested. The method is motivated by the case when the existence of time variability is unequivocal, but the statistical uncertainties are too large to apply more direct methods such as power spectrum analysis. Conceptually the data are fitted to a function of time and a set of free parameters. The method of Lagrange multipliers is used to solve for that parameter set which minimizes the value of the derivative at time t(m). The result can be related physically to the minimum efficiency with which rest mass must be converted to radiation energy. Slightly different formulations of the general principal are used to estimate maximum source size scales associated with the variability.

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