The Radio and Gamma-Ray Luminosities of Blazars

Details The Radio and Gamma-Ray Luminosities of Blazars The Radio and Gamma-Ray Luminosities of Blazars

2001-03-02

arxiv.org/abs/astro-ph/0103031v1

Astronomy and Astrophysics

Astrophysics

8 pages, 4 figures, one table, PASJ, 53 (2001)

Scientific paper

Based on the $\gamma$-ray data of blazars in the third EGRET catalog and radio data at 5 GHz, we studied the correlation between the radio and $\gamma$-ray luminosities using two statistical methods. The first method was the partial correlation analysis method, which indicates that there exist correlations between the radio and $\gamma$-ray luminosities in both high and low states as well as in the average case. The second method involved a comparison of expected $\gamma$-ray luminosity distribution with the observed data using the Kolmogorov-- Smirnov (KS) test. In the second method, we assumed that there is a correlation between the radio and $\gamma$-ray luminosities and that the $\gamma$-ray luminosity function is proportional to the radio luminosity function. The KS test indicates that the expected gamma-ray luminosity distributions are consistent with the observed data in a reasonable parameter range. Finally, we used different $\gamma$-ray luminosity functions to estimate the possible 'observed' $\gamma$-ray luminosity distributions by GLAST.

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