  We propose a new family of copulas generalizing the
  Farlie-Gumbel-Morgenstern family and generated by two univariate functions.
The main feature of this family is to permit the modeling of high positive
dependence. In particular, it is established that the range of the Spearman's
Rho is [-3/4,1] and that the upper tail dependence coefficient can reach any
value in [0,1]. Necessary and sufficient conditions are given on the generating
functions in order to obtain various dependence properties. Some examples of
parametric subfamilies are provided.
