Black hole demographics from TDE modeling
  The occurrence rate of tidal disruption events (TDEs) by survey missions
depend on the black hole mass function of the galaxies, properties of the
stellar cusp and mass of the central black hole. Using a power law density
profile with Kroupa mass function, we solve the steady state Fokker-Planck to
calculate the theoretical capture rate of stars by the black hole. Using a
steady accretion model, the Schechter black hole mass function (BHMF) and the
cosmological parameters, we calculate the detection rate of TDEs for various
surveys which is then fit with the observed TDE rates to extract the Schechter
parameters. The rate tension between observation ($\sim 10^{-5}~{\rm yr^{-1}}$)
and theory ($\sim 10^{-4}~{\rm yr^{-1}}$) for individual galaxies is explained
by the statistical average over the BHMF.
