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MCMC-based regression fitting of multi-wavelength emission properties of a quasar sample to the Fundamental Plane model

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The technique involves fitting the radio luminosity (LR), X-ray luminosity (LX), and blackhole mass (M) of the sample sources to the Fundamental Plane (FP) model— an empirical relationship in the three-dimensional (log LR, log LX, logM) space that blackhole systems with jets are found to exhibit. The maximum-likelihood and uncertainty estimations of the FP model parameters are calculated using a Markov-chain Monte-Carlo (MCMC) algorithm (with the emcee toolkit). I perform this analysis on a sample created by cross-matching 729 SDSS quasars (0< z <4) with known LX and LR with SDSS/DR14-based quasar catalog of single-epoch virial blackhole masses.

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MCMC-based regression fitting of multi-wavelength emission properties of a quasar sample to the Fundamental Plane model

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