Marginal posterior distributions from the MCMC samples of the PM_KZ relationship parameters for our HM with the potential TGAS parallax offset included as a model parameter. The diagonal shows the uni-dimensional marginal distributions for the slope of the log(P) term in the linear relation, the slope of the metallicity term, the intercept, and the intrinsic dispersion of the relationship. Green and red lines point towards the median and the MAP estimate, respectively, of each 1D posterior marginal distribution.