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Mass measurements of astronomical objects are most wanted but still elusive.We need them to trace the formation and evolution of cosmic structure but wecan get direct measurements only for a minority. This lack can be circumventedwith a proxy and a scaling relation. The twofold goal of estimating theunbiased relation and finding the right proxy value to plug in can be hamperedby systematics, selection effects, Eddington/Malmquist biases and timeevolution. We present a Bayesian hierarchical method which deals with theseissues. Masses to be predicted are treated as missing data in the regressionand are estimated together with the scaling parameters. The calibrationsubsample with measured masses does not need to be representative of the fullsample as far as it follows the same scaling relation. We apply the method toforecast weak lensing calibrated masses of the Planck, redMaPPer and MCXCclusters. Planck masses are biased low with respect to weak lensing calibratedmasses, with a bias more pronounced for high redshift clusters. MCXC masses areunder-estimated by ~20 per cent, which may be ascribed to hydrostatic bias.Packages and catalogs are made available with the paper.

CoMaLit-V. Mass forecasting with proxies. Method and application to weak lensing calibrated samples