On the Relationship between Optical and X-Ray Luminosity of Quasars
  The issue of the X-ray to optical luminosity relationship ($L_o-L_x$) is addressed for both optically and X-ray selected quasar samples. We have applied a generalized regression algorithm for the case of samples involving censored data, with errors on both the dependent and the independent variable. Contrary to some previous results, we find that such relationship is consistent with being a linear one ($L_x\propto L_o$). We argue that previous reports of non-linear relationships (i.e. $L_x\propto L_o^e$ with $e < 1$) are due to the neglect of the influence of the photometric errors, the precise knowledge of which strongly influences the reliability of the results. Further progresses in the determination of the $L_o-L_x$ relationship can be achieved with ROSAT observations of the new generation of large bright quasar surveys. 
F. la Franca, A. Franceschini, S. Cristiani, R. Vio