New statistical goodness of fit techniques in noisy inhomogen ous inverse problems With application to the recovering of the luminosity distri bution of the Milky Way

The assumption that a parametric class of functions fits the data structure sufficiently well is common in fitting curves and surfaces to regression data. One then derives a parameter estimate resulting from a least squares fit, say, and in a second step various kinds of χ goodness of fit measures, to assess whether the deviation between data and estimated… (More)