27 research outputs found
The Bivariate Normal Copula
We collect well known and less known facts about the bivariate normal
distribution and translate them into copula language. In addition, we prove a
very general formula for the bivariate normal copula, we compute Gini's gamma,
and we provide improved bounds and approximations on the diagonal.Comment: 24 page
Phi-divergence-type test for positive dependence alternatives in 2 x k contingency tables
In this chapter, we consider 2 x k contingency tables and derive a new family of test statistics for detecting positive dependence in them. The family of test statistics introduced here is based on the phi-divergence measures of which the likelihood ratio test is a special case