Luminosity probability function determined from uncertain parallax and accurate flux (values for PSR J0218+4232). The black solid line shows the exponential factor in Eq. (30) multiplied by L^1.5, the black dashed line shows ℱ. In blue, the dotted curve shows the lognormal luminosity distribution, the dashed and solid curves the corresponding luminosity probability functions for homogeneous and galactocentric spatial distributions, respectively. In red, idem for the power-law luminosity function. All curves are normalized to a value 1 at 10 kpc, except those for the luminosity functions and for ℱ, normalized to a value of 0.1 at 10 kpc.