Diagnostic Plots for One-Dimensional Data
Günther Sawitzki · heiDOK (Heidelberg University) · 2016
How do we draw a distribution on the line? We give a survey of somewell known and some recent proposals to present such a distribution, based onsample data. We claim: a diagnostic plot is only as good as the hard statisticaltheory that is supporting it. To make this precise, one has to ask for theunderlying functionals, study their stochastic behaviour and ask for the naturalmetrics associated to a plot. We try to illustrate this point of view for someexamples.