  A new class of copulas based on order statistics was introduced by Baker
(2008). Here, further properties of the bivariate and multivariate copulas are
described, such as that of likelihood ratio dominance (LRD), and further
bivariate copulas are introduced that generalize the earlier work. One of the
new copulas is an integral of a product of Bessel functions of imaginary
argument, and can attain the Fr\'echet bound. The use of these copulas for
fitting data is described, and illustrated with examples. It was found
empirically that the multivariate copulas previously proposed are not flexible
enough to be generally useful in data fitting, and further development is
needed in this area.
