  Algorithms are proposed for the computation of set-valued quantiles and the
values of the lower cone distribution function for bivariate data sets. These
new objects make data analysis possible involving an order relation for the
data points in form of a vector order in two dimensions. The bivariate case
deserves special attention since two-dimensional vector orders are much simpler
to handle than such orders in higher dimensions. Several examples illustrate
how the algorithms work and what kind of conclusions can be drawn with the
proposed approach.
