The luminosity function of quasars by the Principle of Maximum Entropy
  We propose a different way to obtain the distribution of the luminosity
function of quasars by using the Principle of Maximum Entropy. The input data
comes from the SDSS-DR3 quasars counts, extending up to redshift 5 and limited
from apparent magnitude $i=15$ to 19.1 at $z\lesssim3$ to $i=20.2$ for
$z\gtrsim3$. Using only few initial data points, the Principle allows us to
estimate probabilities and hence that luminosity curve. We carry out
statistical tests to evaluate our results. The resulting luminosity function
compares well to earlier determinations. And our results remain consistent
either when the amount or choice of sampled sources is unbiasedly altered.
Besides this we estimate the distribution of the luminosity function for
redshifts in which there is only observational data in the vicinity.
