Contours of equal joint probability P(D,ϖ′,L,S′) for the direction, parallax, flux, and measurement errors of PSR J0218+4232 for two power-law functions and for the lognormal luminosity function. For each luminosity function we show the maximum and also the contours containing 68% and 95% of the integrated probability. The contours for the power-law luminosity function with index −2 have two branches, one at very low luminosities and one at higher luminosities; part of the latter is indistinguishable from the contours for the lognormal luminosity function. The vertical and horizontal dashed lines show the nominal values for distance D = 1 /ϖ′ and luminosity L′ = S′/ϖ′², respectively