On subcopula estimation for discrete models

Purpose - To discuss subcopula estimation for discrete models. Design/methodology/approach - The convergence of estimators is considered under the weak convergence of distribution functions and its equivalent properties known in prior works. Findings - The domain of the true subcopula associated with discrete random variables is found to be discrete on the interior of the unit hypercube. The construction of an estimator in which their domains have the same form as that of the true subcopula is provided, in case, the marginal distributions are binomial. Originality/value - To the best of our knowledge, this is the first time such an estimator is defined and proved to be converged to the true subcopula.