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Use copula to model dependency of variable extends multivariate gaussianassumption. In this paper we first empirically studied copula regression modelwith continous response. Both simulation study and real data study are given.Secondly we give a novel copula regression model with binary outcome, and wepropose a score gradient estimation algorithms to fit the model. Bothsimulation study and real data study are given for our model and fittingalgorithm.

Binary Outcome Copula Regression Model with Sampling Gradient Fitting