  In many practical scenarios, including finance, environmental sciences,
system reliability, etc., it is often of interest to study the various notion
of negative dependence among the observed variables. A new bivariate copula is
proposed for modeling negative dependence between two random variables that
complies with most of the popular notions of negative dependence reported in
the literature. Specifically, the Spearman's rho and the Kendall's tau for the
proposed copula have a simple one-parameter form with negative values in the
full range. Some important ordering properties comparing the strength of
negative dependence with respect to the parameter involved are considered.
Simple examples of the corresponding bivariate distributions with popular
marginals are presented. Application of the proposed copula is illustrated
using a real data set on air quality in the New York City, USA.
