The Relations between Some Families of Copulas
M. M. E. Abd EL-Monsef *
Faculty of Science, Tanta University, Egypt.
S. M. Elsobky
Faculty of Science, Tanta University, Egypt.
M. M. Seyam
Faculty of Science, Tanta University, Egypt and Faculty of Science and Arts, Jouf University, KSA.
*Author to whom correspondence should be addressed.
Abstract
Copulas are mathematical objects that fully capture the dependence structure among random variables and thus offer a great deal of flexibility in building multivariate stochastic models. They have widely use in, credit models, risk aggregation, portfolio selection, insurance, and reliability theory. This study will disscuss the relationship among a few copulas.
Keywords: Copula, survival copula, ordering, measure of dependency, polynomial copula, Harmonic copula, homogeneous copula