The purpose of this paper is to provide a nonparametric method for the estimation of copula-based stress-strength models. These method is based on improved probit transformation method for copula density estimation. This nonparametric method is a novel application based on an existing bivariate kernel method combined with Monte Carlo estimation without specification of the copula or the marginal distributions. Simulation results suggests that the nonparametric estimation method has better performance than the empirical esimation method.

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