ON THE CORRELATION BETWEEN RADIO AND GAMMA RAY LUMINOSITIES OF ACTIVE GALACTIC NUCLEI

The possibility of a correlation between the radio (cm)and γ-ray luminosity of variable AGN seen by EGRET is investigated. We performMonte-Carlo simulations of typical data sets and apply different correlation techniques (partial correlation analysis, χ-test applied on flux-flux relations) in view of a truncation bias caused by sensitivity limits of the surveys. ForK-corrected flux densities,wefind thatwith the least squares method only a linear correlation can be recovered. Partial correlation analysis on the other side provides a robust tool to detect correlations even in flux-limited samples if intrinsic scatter does not exceed ∼ 40 % of the original γ-ray luminosity. However, if mean flux values of high variable sources are used we find the chance probability of high Spearman’s correlation coefficient be significant underestimated. The analysis presented in this paper takes into account redshift bias and truncation effects simultaneously which was never considered in earlier papers. Applying this analysis to simultaneously observed radioand γ-ray data, no correlation is found. However, an artificial correlation appears when using the mean flux. This is probably due to the reduction of the dynamical range in the flux-flux relation. Furthermore, we show that comparing the emission in both spectral bands at a high activity state leads to no convincing correlation. In conclusion, we cannot confirm a correlation between radio and γ-ray luminosities of AGNwhich is claimed in previous works.